%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN488+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n015.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 13:53:30 EDT 2022

% Result   : Theorem 0.99s 1.20s
% Output   : Proof 1.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN488+1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 14:36:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.99/1.20  (* PROOF-FOUND *)
% 0.99/1.20  % SZS status Theorem
% 0.99/1.20  (* BEGIN-PROOF *)
% 0.99/1.20  % SZS output start Proof
% 0.99/1.20  Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a2402))/\((c3_1 (a2402))/\(~(c1_1 (a2402)))))))/\(((~(hskp1))\/((ndr1_0)/\((c1_1 (a2403))/\((~(c2_1 (a2403)))/\(~(c3_1 (a2403)))))))/\(((~(hskp2))\/((ndr1_0)/\((~(c1_1 (a2404)))/\((~(c2_1 (a2404)))/\(~(c3_1 (a2404)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a2405))/\((c2_1 (a2405))/\(~(c3_1 (a2405)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a2407))/\((~(c1_1 (a2407)))/\(~(c2_1 (a2407)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a2408))/\((c3_1 (a2408))/\(~(c2_1 (a2408)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410)))))))/\(((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))))/\(((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))))/\(((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))))/\(((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))))/\(((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))))/\(((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))))/\(((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))))/\(((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453)))))))/\(((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a2468))/\((~(c0_1 (a2468)))/\(~(c3_1 (a2468)))))))/\(((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))))/\(((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a2500)))/\((~(c1_1 (a2500)))/\(~(c3_1 (a2500)))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a2498))/\((c1_1 (a2498))/\(c2_1 (a2498))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp12))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp15)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp2)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp7)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp7)\/(hskp20)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp2)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp10)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp2)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp0)\/(hskp9)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12)))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp15)\/(hskp24)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/((hskp30)\/(hskp2)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/((hskp6)\/(hskp1)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp5)\/(hskp1)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp25)\/(hskp7)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30)))/\(((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10)))/\(((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((hskp6)\/(hskp26)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20)))/\(((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23)))/\(((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp3)\/(hskp24)))/\(((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23)))/\(((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18)))/\(((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp21)\/(hskp0)))/\(((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp15)\/(hskp11)))/\(((hskp31)\/((hskp25)\/(hskp27)))/\(((hskp30)\/((hskp26)\/(hskp19)))/\(((hskp26)\/((hskp8)\/(hskp11)))/\(((hskp3)\/((hskp5)\/(hskp18)))/\(((hskp5)\/((hskp19)\/(hskp25)))/\((hskp8)\/((hskp9)\/(hskp7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
% 0.99/1.20  Proof.
% 0.99/1.20  assert (zenon_L1_ : (~(hskp8)) -> (hskp8) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H1 zenon_H2.
% 0.99/1.20  exact (zenon_H1 zenon_H2).
% 0.99/1.20  (* end of lemma zenon_L1_ *)
% 0.99/1.20  assert (zenon_L2_ : (~(hskp9)) -> (hskp9) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H3 zenon_H4.
% 0.99/1.20  exact (zenon_H3 zenon_H4).
% 0.99/1.20  (* end of lemma zenon_L2_ *)
% 0.99/1.20  assert (zenon_L3_ : (~(hskp7)) -> (hskp7) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H5 zenon_H6.
% 0.99/1.20  exact (zenon_H5 zenon_H6).
% 0.99/1.20  (* end of lemma zenon_L3_ *)
% 0.99/1.20  assert (zenon_L4_ : ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp8)) -> (~(hskp9)) -> (~(hskp7)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ].
% 0.99/1.20  exact (zenon_H1 zenon_H2).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ].
% 0.99/1.20  exact (zenon_H3 zenon_H4).
% 0.99/1.20  exact (zenon_H5 zenon_H6).
% 0.99/1.20  (* end of lemma zenon_L4_ *)
% 0.99/1.20  assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H9 zenon_Ha.
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  (* end of lemma zenon_L5_ *)
% 0.99/1.20  assert (zenon_L6_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He.
% 0.99/1.20  generalize (zenon_Hb (a2413)). zenon_intro zenon_Hf.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.99/1.20  exact (zenon_Hc zenon_H12).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 0.99/1.20  exact (zenon_Hd zenon_H14).
% 0.99/1.20  exact (zenon_H13 zenon_He).
% 0.99/1.20  (* end of lemma zenon_L6_ *)
% 0.99/1.20  assert (zenon_L7_ : (~(hskp6)) -> (hskp6) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H15 zenon_H16.
% 0.99/1.20  exact (zenon_H15 zenon_H16).
% 0.99/1.20  (* end of lemma zenon_L7_ *)
% 0.99/1.20  assert (zenon_L8_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp7)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H17 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H5.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ].
% 0.99/1.20  apply (zenon_L6_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H16 | zenon_intro zenon_H6 ].
% 0.99/1.20  exact (zenon_H15 zenon_H16).
% 0.99/1.20  exact (zenon_H5 zenon_H6).
% 0.99/1.20  (* end of lemma zenon_L8_ *)
% 0.99/1.20  assert (zenon_L9_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H19 zenon_Ha zenon_H1a zenon_H1b zenon_H1c.
% 0.99/1.20  generalize (zenon_H19 (a2412)). zenon_intro zenon_H1d.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_H1d); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ].
% 0.99/1.20  exact (zenon_H1a zenon_H20).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.99/1.20  exact (zenon_H1b zenon_H22).
% 0.99/1.20  exact (zenon_H21 zenon_H1c).
% 0.99/1.20  (* end of lemma zenon_L9_ *)
% 0.99/1.20  assert (zenon_L10_ : (~(hskp16)) -> (hskp16) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H23 zenon_H24.
% 0.99/1.20  exact (zenon_H23 zenon_H24).
% 0.99/1.20  (* end of lemma zenon_L10_ *)
% 0.99/1.20  assert (zenon_L11_ : (~(hskp13)) -> (hskp13) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H25 zenon_H26.
% 0.99/1.20  exact (zenon_H25 zenon_H26).
% 0.99/1.20  (* end of lemma zenon_L11_ *)
% 0.99/1.20  assert (zenon_L12_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp13)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H23 zenon_H25.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ].
% 0.99/1.20  apply (zenon_L9_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ].
% 0.99/1.20  exact (zenon_H23 zenon_H24).
% 0.99/1.20  exact (zenon_H25 zenon_H26).
% 0.99/1.20  (* end of lemma zenon_L12_ *)
% 0.99/1.20  assert (zenon_L13_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3)))))) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H29 zenon_Ha zenon_H2a zenon_H2b zenon_H2c.
% 0.99/1.20  generalize (zenon_H29 (a2425)). zenon_intro zenon_H2d.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.99/1.20  exact (zenon_H2a zenon_H30).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 0.99/1.20  exact (zenon_H2b zenon_H32).
% 0.99/1.20  exact (zenon_H31 zenon_H2c).
% 0.99/1.20  (* end of lemma zenon_L13_ *)
% 0.99/1.20  assert (zenon_L14_ : (~(hskp5)) -> (hskp5) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H33 zenon_H34.
% 0.99/1.20  exact (zenon_H33 zenon_H34).
% 0.99/1.20  (* end of lemma zenon_L14_ *)
% 0.99/1.20  assert (zenon_L15_ : (~(hskp19)) -> (hskp19) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H35 zenon_H36.
% 0.99/1.20  exact (zenon_H35 zenon_H36).
% 0.99/1.20  (* end of lemma zenon_L15_ *)
% 0.99/1.20  assert (zenon_L16_ : ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp19)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H37 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H33 zenon_H35.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H29 | zenon_intro zenon_H38 ].
% 0.99/1.20  apply (zenon_L13_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H34 | zenon_intro zenon_H36 ].
% 0.99/1.20  exact (zenon_H33 zenon_H34).
% 0.99/1.20  exact (zenon_H35 zenon_H36).
% 0.99/1.20  (* end of lemma zenon_L16_ *)
% 0.99/1.20  assert (zenon_L17_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a2432))) -> (c1_1 (a2432)) -> (c3_1 (a2432)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H39 zenon_Ha zenon_H3a zenon_H3b zenon_H3c.
% 0.99/1.20  generalize (zenon_H39 (a2432)). zenon_intro zenon_H3d.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H3e ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 0.99/1.20  exact (zenon_H3a zenon_H40).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ].
% 0.99/1.20  exact (zenon_H42 zenon_H3b).
% 0.99/1.20  exact (zenon_H41 zenon_H3c).
% 0.99/1.20  (* end of lemma zenon_L17_ *)
% 0.99/1.20  assert (zenon_L18_ : (~(hskp1)) -> (hskp1) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H43 zenon_H44.
% 0.99/1.20  exact (zenon_H43 zenon_H44).
% 0.99/1.20  (* end of lemma zenon_L18_ *)
% 0.99/1.20  assert (zenon_L19_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp9)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H45 zenon_H46 zenon_H43 zenon_H3.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H39 | zenon_intro zenon_H49 ].
% 0.99/1.20  apply (zenon_L17_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H44 | zenon_intro zenon_H4 ].
% 0.99/1.20  exact (zenon_H43 zenon_H44).
% 0.99/1.20  exact (zenon_H3 zenon_H4).
% 0.99/1.20  (* end of lemma zenon_L19_ *)
% 0.99/1.20  assert (zenon_L20_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H4a zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.20  apply (zenon_L16_); trivial.
% 0.99/1.20  apply (zenon_L19_); trivial.
% 0.99/1.20  (* end of lemma zenon_L20_ *)
% 0.99/1.20  assert (zenon_L21_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.20  apply (zenon_L12_); trivial.
% 0.99/1.20  apply (zenon_L20_); trivial.
% 0.99/1.20  (* end of lemma zenon_L21_ *)
% 0.99/1.20  assert (zenon_L22_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H4f zenon_Ha zenon_H50 zenon_H51 zenon_H52.
% 0.99/1.20  generalize (zenon_H4f (a2418)). zenon_intro zenon_H53.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_H9 | zenon_intro zenon_H54 ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ].
% 0.99/1.20  exact (zenon_H50 zenon_H56).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ].
% 0.99/1.20  exact (zenon_H58 zenon_H51).
% 0.99/1.20  exact (zenon_H57 zenon_H52).
% 0.99/1.20  (* end of lemma zenon_L22_ *)
% 0.99/1.20  assert (zenon_L23_ : (~(hskp12)) -> (hskp12) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H59 zenon_H5a.
% 0.99/1.20  exact (zenon_H59 zenon_H5a).
% 0.99/1.20  (* end of lemma zenon_L23_ *)
% 0.99/1.20  assert (zenon_L24_ : (~(hskp11)) -> (hskp11) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H5b zenon_H5c.
% 0.99/1.20  exact (zenon_H5b zenon_H5c).
% 0.99/1.20  (* end of lemma zenon_L24_ *)
% 0.99/1.20  assert (zenon_L25_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp12)) -> (~(hskp11)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H5d zenon_H5e zenon_H59 zenon_H5b.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4f | zenon_intro zenon_H61 ].
% 0.99/1.20  apply (zenon_L22_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H5a | zenon_intro zenon_H5c ].
% 0.99/1.20  exact (zenon_H59 zenon_H5a).
% 0.99/1.20  exact (zenon_H5b zenon_H5c).
% 0.99/1.20  (* end of lemma zenon_L25_ *)
% 0.99/1.20  assert (zenon_L26_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H62 zenon_H5e zenon_H5b zenon_H59 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H37 zenon_H33 zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 0.99/1.20  apply (zenon_L21_); trivial.
% 0.99/1.20  apply (zenon_L25_); trivial.
% 0.99/1.20  (* end of lemma zenon_L26_ *)
% 0.99/1.20  assert (zenon_L27_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H63 zenon_Ha zenon_H64 zenon_H65 zenon_H66.
% 0.99/1.20  generalize (zenon_H63 (a2417)). zenon_intro zenon_H67.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_H67); [ zenon_intro zenon_H9 | zenon_intro zenon_H68 ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ].
% 0.99/1.20  exact (zenon_H64 zenon_H6a).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 0.99/1.20  exact (zenon_H65 zenon_H6c).
% 0.99/1.20  exact (zenon_H6b zenon_H66).
% 0.99/1.20  (* end of lemma zenon_L27_ *)
% 0.99/1.20  assert (zenon_L28_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> (~(hskp11)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H6d zenon_H6e zenon_H15 zenon_H5b.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H63 | zenon_intro zenon_H71 ].
% 0.99/1.20  apply (zenon_L27_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H16 | zenon_intro zenon_H5c ].
% 0.99/1.20  exact (zenon_H15 zenon_H16).
% 0.99/1.20  exact (zenon_H5b zenon_H5c).
% 0.99/1.20  (* end of lemma zenon_L28_ *)
% 0.99/1.20  assert (zenon_L29_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H72 zenon_Ha zenon_H73 zenon_H74 zenon_H75.
% 0.99/1.20  generalize (zenon_H72 (a2416)). zenon_intro zenon_H76.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_H76); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H79 | zenon_intro zenon_H78 ].
% 0.99/1.20  exact (zenon_H73 zenon_H79).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ].
% 0.99/1.20  exact (zenon_H74 zenon_H7b).
% 0.99/1.20  exact (zenon_H7a zenon_H75).
% 0.99/1.20  (* end of lemma zenon_L29_ *)
% 0.99/1.20  assert (zenon_L30_ : (~(hskp10)) -> (hskp10) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H7c zenon_H7d.
% 0.99/1.20  exact (zenon_H7c zenon_H7d).
% 0.99/1.20  (* end of lemma zenon_L30_ *)
% 0.99/1.20  assert (zenon_L31_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp16)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H7e zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H7c zenon_H23.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H72 | zenon_intro zenon_H7f ].
% 0.99/1.20  apply (zenon_L29_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H7d | zenon_intro zenon_H24 ].
% 0.99/1.20  exact (zenon_H7c zenon_H7d).
% 0.99/1.20  exact (zenon_H23 zenon_H24).
% 0.99/1.20  (* end of lemma zenon_L31_ *)
% 0.99/1.20  assert (zenon_L32_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H80 zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37 zenon_H7c zenon_H7e.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.20  apply (zenon_L31_); trivial.
% 0.99/1.20  apply (zenon_L20_); trivial.
% 0.99/1.20  (* end of lemma zenon_L32_ *)
% 0.99/1.20  assert (zenon_L33_ : (forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46)))))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H83 zenon_Ha zenon_H84 zenon_H85 zenon_H86.
% 0.99/1.20  generalize (zenon_H83 (a2414)). zenon_intro zenon_H87.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_H87); [ zenon_intro zenon_H9 | zenon_intro zenon_H88 ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ].
% 0.99/1.20  exact (zenon_H84 zenon_H8a).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8c | zenon_intro zenon_H8b ].
% 0.99/1.20  exact (zenon_H85 zenon_H8c).
% 0.99/1.20  exact (zenon_H8b zenon_H86).
% 0.99/1.20  (* end of lemma zenon_L33_ *)
% 0.99/1.20  assert (zenon_L34_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(hskp19)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H8d zenon_H52 zenon_H51 zenon_H50 zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_H35.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 0.99/1.20  apply (zenon_L22_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 0.99/1.20  apply (zenon_L33_); trivial.
% 0.99/1.20  exact (zenon_H35 zenon_H36).
% 0.99/1.20  (* end of lemma zenon_L34_ *)
% 0.99/1.20  assert (zenon_L35_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H5d zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H8d.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.20  apply (zenon_L34_); trivial.
% 0.99/1.20  apply (zenon_L19_); trivial.
% 0.99/1.20  (* end of lemma zenon_L35_ *)
% 0.99/1.20  assert (zenon_L36_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H8f zenon_H62 zenon_H8d zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H37 zenon_H33 zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 0.99/1.20  apply (zenon_L21_); trivial.
% 0.99/1.20  apply (zenon_L35_); trivial.
% 0.99/1.20  (* end of lemma zenon_L36_ *)
% 0.99/1.20  assert (zenon_L37_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> (~(hskp7)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H92 zenon_H17 zenon_H15 zenon_H5.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.99/1.20  apply (zenon_L8_); trivial.
% 0.99/1.20  (* end of lemma zenon_L37_ *)
% 0.99/1.20  assert (zenon_L38_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H95 zenon_H17 zenon_H5 zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H15 zenon_H6e zenon_H97 zenon_H8d zenon_H98.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 0.99/1.20  apply (zenon_L26_); trivial.
% 0.99/1.20  apply (zenon_L28_); trivial.
% 0.99/1.20  apply (zenon_L32_); trivial.
% 0.99/1.20  apply (zenon_L36_); trivial.
% 0.99/1.20  apply (zenon_L37_); trivial.
% 0.99/1.20  (* end of lemma zenon_L38_ *)
% 0.99/1.20  assert (zenon_L39_ : (forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72)))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H99 zenon_Ha zenon_H9a zenon_H9b zenon_H9c.
% 0.99/1.20  generalize (zenon_H99 (a2411)). zenon_intro zenon_H9d.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_H9d); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ].
% 0.99/1.20  exact (zenon_H9a zenon_Ha0).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ].
% 0.99/1.20  exact (zenon_H9b zenon_Ha2).
% 0.99/1.20  exact (zenon_Ha1 zenon_H9c).
% 0.99/1.20  (* end of lemma zenon_L39_ *)
% 0.99/1.20  assert (zenon_L40_ : ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp12)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H23 zenon_H59.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha4 ].
% 0.99/1.20  apply (zenon_L39_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H24 | zenon_intro zenon_H5a ].
% 0.99/1.20  exact (zenon_H23 zenon_H24).
% 0.99/1.20  exact (zenon_H59 zenon_H5a).
% 0.99/1.20  (* end of lemma zenon_L40_ *)
% 0.99/1.20  assert (zenon_L41_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.20  apply (zenon_L40_); trivial.
% 0.99/1.20  apply (zenon_L20_); trivial.
% 0.99/1.20  (* end of lemma zenon_L41_ *)
% 0.99/1.20  assert (zenon_L42_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Ha5 zenon_Ha zenon_H65 zenon_Ha6 zenon_H64 zenon_H66.
% 0.99/1.20  generalize (zenon_Ha5 (a2417)). zenon_intro zenon_Ha7.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_Ha7); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha8 ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H6c | zenon_intro zenon_Ha9 ].
% 0.99/1.20  exact (zenon_H65 zenon_H6c).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H6b ].
% 0.99/1.20  generalize (zenon_Ha6 (a2417)). zenon_intro zenon_Hab.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_Hab); [ zenon_intro zenon_H9 | zenon_intro zenon_Hac ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H6a | zenon_intro zenon_Had ].
% 0.99/1.20  exact (zenon_H64 zenon_H6a).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H6c | zenon_intro zenon_Hae ].
% 0.99/1.20  exact (zenon_H65 zenon_H6c).
% 0.99/1.20  exact (zenon_Haa zenon_Hae).
% 0.99/1.20  exact (zenon_H6b zenon_H66).
% 0.99/1.20  (* end of lemma zenon_L42_ *)
% 0.99/1.20  assert (zenon_L43_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp10)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Haf zenon_H66 zenon_H64 zenon_Ha6 zenon_H65 zenon_Ha zenon_H7c.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ].
% 0.99/1.20  apply (zenon_L27_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H7d ].
% 0.99/1.20  apply (zenon_L42_); trivial.
% 0.99/1.20  exact (zenon_H7c zenon_H7d).
% 0.99/1.20  (* end of lemma zenon_L43_ *)
% 0.99/1.20  assert (zenon_L44_ : (~(hskp0)) -> (hskp0) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hb1 zenon_Hb2.
% 0.99/1.20  exact (zenon_Hb1 zenon_Hb2).
% 0.99/1.20  (* end of lemma zenon_L44_ *)
% 0.99/1.20  assert (zenon_L45_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp0)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H6d zenon_Hb3 zenon_H7c zenon_Haf zenon_Hb1.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb4 ].
% 0.99/1.20  apply (zenon_L43_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb2 ].
% 0.99/1.20  apply (zenon_L27_); trivial.
% 0.99/1.20  exact (zenon_Hb1 zenon_Hb2).
% 0.99/1.20  (* end of lemma zenon_L45_ *)
% 0.99/1.20  assert (zenon_L46_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 0.99/1.20  apply (zenon_L41_); trivial.
% 0.99/1.20  apply (zenon_L45_); trivial.
% 0.99/1.20  (* end of lemma zenon_L46_ *)
% 0.99/1.20  assert (zenon_L47_ : (~(hskp26)) -> (hskp26) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hb5 zenon_Hb6.
% 0.99/1.20  exact (zenon_Hb5 zenon_Hb6).
% 0.99/1.20  (* end of lemma zenon_L47_ *)
% 0.99/1.20  assert (zenon_L48_ : ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp26)) -> (~(hskp8)) -> (~(hskp11)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hb7 zenon_Hb5 zenon_H1 zenon_H5b.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb8 ].
% 0.99/1.20  exact (zenon_Hb5 zenon_Hb6).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H2 | zenon_intro zenon_H5c ].
% 0.99/1.20  exact (zenon_H1 zenon_H2).
% 0.99/1.20  exact (zenon_H5b zenon_H5c).
% 0.99/1.20  (* end of lemma zenon_L48_ *)
% 0.99/1.20  assert (zenon_L49_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hb9 zenon_Ha zenon_Hba zenon_Hbb zenon_Hbc.
% 0.99/1.20  generalize (zenon_Hb9 (a2484)). zenon_intro zenon_Hbd.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_Hbd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hbe ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ].
% 0.99/1.20  exact (zenon_Hba zenon_Hc0).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc1 ].
% 0.99/1.20  exact (zenon_Hc2 zenon_Hbb).
% 0.99/1.20  exact (zenon_Hc1 zenon_Hbc).
% 0.99/1.20  (* end of lemma zenon_L49_ *)
% 0.99/1.20  assert (zenon_L50_ : (~(hskp14)) -> (hskp14) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hc3 zenon_Hc4.
% 0.99/1.20  exact (zenon_Hc3 zenon_Hc4).
% 0.99/1.20  (* end of lemma zenon_L50_ *)
% 0.99/1.20  assert (zenon_L51_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp14)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hc5 zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_Hc3.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc9 ].
% 0.99/1.20  apply (zenon_L39_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc4 ].
% 0.99/1.20  apply (zenon_L49_); trivial.
% 0.99/1.20  exact (zenon_Hc3 zenon_Hc4).
% 0.99/1.20  (* end of lemma zenon_L51_ *)
% 0.99/1.20  assert (zenon_L52_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hca zenon_Hc6 zenon_Hc3 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.20  apply (zenon_L48_); trivial.
% 0.99/1.20  apply (zenon_L51_); trivial.
% 0.99/1.20  (* end of lemma zenon_L52_ *)
% 0.99/1.20  assert (zenon_L53_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H4f zenon_Ha zenon_Hcb zenon_Hcc zenon_Hcd.
% 0.99/1.20  generalize (zenon_H4f (a2420)). zenon_intro zenon_Hce.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_Hce); [ zenon_intro zenon_H9 | zenon_intro zenon_Hcf ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ].
% 0.99/1.20  exact (zenon_Hcb zenon_Hd1).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ].
% 0.99/1.20  exact (zenon_Hd3 zenon_Hcc).
% 0.99/1.20  exact (zenon_Hd2 zenon_Hcd).
% 0.99/1.20  (* end of lemma zenon_L53_ *)
% 0.99/1.20  assert (zenon_L54_ : (forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hd4 zenon_Ha zenon_H4f zenon_Hcc zenon_Hcd.
% 0.99/1.20  generalize (zenon_Hd4 (a2420)). zenon_intro zenon_Hd5.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_Hd5); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd6 ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd0 ].
% 0.99/1.20  apply (zenon_L53_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ].
% 0.99/1.20  exact (zenon_Hd3 zenon_Hcc).
% 0.99/1.20  exact (zenon_Hd2 zenon_Hcd).
% 0.99/1.20  (* end of lemma zenon_L54_ *)
% 0.99/1.20  assert (zenon_L55_ : (~(hskp20)) -> (hskp20) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hd7 zenon_Hd8.
% 0.99/1.20  exact (zenon_Hd7 zenon_Hd8).
% 0.99/1.20  (* end of lemma zenon_L55_ *)
% 0.99/1.20  assert (zenon_L56_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c3_1 (a2420))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hd9 zenon_Hda zenon_Hcd zenon_Hcc zenon_H4f zenon_Ha zenon_Hd7.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ].
% 0.99/1.20  generalize (zenon_Hdc (a2420)). zenon_intro zenon_Hdd.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_Hdd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hde ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ].
% 0.99/1.20  exact (zenon_Hda zenon_He0).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd2 ].
% 0.99/1.20  apply (zenon_L53_); trivial.
% 0.99/1.20  exact (zenon_Hd2 zenon_Hcd).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ].
% 0.99/1.20  apply (zenon_L54_); trivial.
% 0.99/1.20  exact (zenon_Hd7 zenon_Hd8).
% 0.99/1.20  (* end of lemma zenon_L56_ *)
% 0.99/1.20  assert (zenon_L57_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp20)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(hskp19)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H8d zenon_Hd7 zenon_Hcc zenon_Hcd zenon_Hda zenon_Hd9 zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_H35.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 0.99/1.20  apply (zenon_L56_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 0.99/1.20  apply (zenon_L33_); trivial.
% 0.99/1.20  exact (zenon_H35 zenon_H36).
% 0.99/1.20  (* end of lemma zenon_L57_ *)
% 0.99/1.20  assert (zenon_L58_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c1_1 (a2435)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H19 zenon_Ha zenon_He1 zenon_He2 zenon_He3.
% 0.99/1.20  generalize (zenon_H19 (a2435)). zenon_intro zenon_He4.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_H9 | zenon_intro zenon_He5 ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 0.99/1.20  exact (zenon_He1 zenon_He7).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He9 | zenon_intro zenon_He8 ].
% 0.99/1.20  exact (zenon_He2 zenon_He9).
% 0.99/1.20  exact (zenon_He8 zenon_He3).
% 0.99/1.20  (* end of lemma zenon_L58_ *)
% 0.99/1.20  assert (zenon_L59_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a2435))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2435))) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Ha6 zenon_Ha zenon_He1 zenon_H19 zenon_He2.
% 0.99/1.20  generalize (zenon_Ha6 (a2435)). zenon_intro zenon_Hea.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_Hea); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He7 | zenon_intro zenon_Hec ].
% 0.99/1.20  exact (zenon_He1 zenon_He7).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_He3 | zenon_intro zenon_He9 ].
% 0.99/1.20  apply (zenon_L58_); trivial.
% 0.99/1.20  exact (zenon_He2 zenon_He9).
% 0.99/1.20  (* end of lemma zenon_L59_ *)
% 0.99/1.20  assert (zenon_L60_ : (~(hskp29)) -> (hskp29) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hed zenon_Hee.
% 0.99/1.20  exact (zenon_Hed zenon_Hee).
% 0.99/1.20  (* end of lemma zenon_L60_ *)
% 0.99/1.20  assert (zenon_L61_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp29)) -> (~(hskp0)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hef zenon_He2 zenon_He1 zenon_Ha zenon_Ha6 zenon_Hed zenon_Hb1.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ].
% 0.99/1.20  apply (zenon_L59_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ].
% 0.99/1.20  exact (zenon_Hed zenon_Hee).
% 0.99/1.20  exact (zenon_Hb1 zenon_Hb2).
% 0.99/1.20  (* end of lemma zenon_L61_ *)
% 0.99/1.20  assert (zenon_L62_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp29)) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (ndr1_0) -> (~(hskp0)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hb3 zenon_Hed zenon_He1 zenon_He2 zenon_Hef zenon_H66 zenon_H65 zenon_H64 zenon_Ha zenon_Hb1.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb4 ].
% 0.99/1.20  apply (zenon_L61_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb2 ].
% 0.99/1.20  apply (zenon_L27_); trivial.
% 0.99/1.20  exact (zenon_Hb1 zenon_Hb2).
% 0.99/1.20  (* end of lemma zenon_L62_ *)
% 0.99/1.20  assert (zenon_L63_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H72 zenon_Ha zenon_H19 zenon_He1 zenon_He2 zenon_Hf1.
% 0.99/1.20  generalize (zenon_H72 (a2435)). zenon_intro zenon_Hf2.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf3 ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf4 ].
% 0.99/1.20  apply (zenon_L58_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf5 ].
% 0.99/1.20  exact (zenon_He2 zenon_He9).
% 0.99/1.20  exact (zenon_Hf5 zenon_Hf1).
% 0.99/1.20  (* end of lemma zenon_L63_ *)
% 0.99/1.20  assert (zenon_L64_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hb9 zenon_Ha zenon_Hda zenon_H4f zenon_Hcc zenon_Hcd.
% 0.99/1.20  generalize (zenon_Hb9 (a2420)). zenon_intro zenon_Hf6.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_Hf6); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf7 ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He0 | zenon_intro zenon_Hf8 ].
% 0.99/1.20  exact (zenon_Hda zenon_He0).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd3 ].
% 0.99/1.20  apply (zenon_L53_); trivial.
% 0.99/1.20  exact (zenon_Hd3 zenon_Hcc).
% 0.99/1.20  (* end of lemma zenon_L64_ *)
% 0.99/1.20  assert (zenon_L65_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (c1_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Hf9 zenon_Ha zenon_Hfa zenon_Hfb zenon_Hfc.
% 0.99/1.20  generalize (zenon_Hf9 (a2409)). zenon_intro zenon_Hfd.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_Hfd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hfe ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ].
% 0.99/1.20  exact (zenon_H100 zenon_Hfa).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H102 | zenon_intro zenon_H101 ].
% 0.99/1.20  exact (zenon_H102 zenon_Hfb).
% 0.99/1.20  exact (zenon_H101 zenon_Hfc).
% 0.99/1.20  (* end of lemma zenon_L65_ *)
% 0.99/1.20  assert (zenon_L66_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_Ha5 zenon_Ha zenon_Hf9 zenon_Hfb zenon_Hfc.
% 0.99/1.20  generalize (zenon_Ha5 (a2409)). zenon_intro zenon_H103.
% 0.99/1.20  apply (zenon_imply_s _ _ zenon_H103); [ zenon_intro zenon_H9 | zenon_intro zenon_H104 ].
% 0.99/1.20  exact (zenon_H9 zenon_Ha).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hff ].
% 0.99/1.20  apply (zenon_L65_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H102 | zenon_intro zenon_H101 ].
% 0.99/1.20  exact (zenon_H102 zenon_Hfb).
% 0.99/1.20  exact (zenon_H101 zenon_Hfc).
% 0.99/1.20  (* end of lemma zenon_L66_ *)
% 0.99/1.20  assert (zenon_L67_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (~(c3_1 (a2420))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hcd zenon_Hcc zenon_H4f zenon_Hda zenon_Ha5 zenon_Ha zenon_Hfb zenon_Hfc.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 0.99/1.20  apply (zenon_L33_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 0.99/1.20  apply (zenon_L64_); trivial.
% 0.99/1.20  apply (zenon_L66_); trivial.
% 0.99/1.20  (* end of lemma zenon_L67_ *)
% 0.99/1.20  assert (zenon_L68_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(hskp19)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H8d zenon_H43 zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_Hfb zenon_Hfc zenon_H19 zenon_He1 zenon_He2 zenon_Hf1 zenon_H107 zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_H35.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 0.99/1.20  apply (zenon_L63_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 0.99/1.20  apply (zenon_L67_); trivial.
% 0.99/1.20  exact (zenon_H43 zenon_H44).
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 0.99/1.20  apply (zenon_L33_); trivial.
% 0.99/1.20  exact (zenon_H35 zenon_H36).
% 0.99/1.20  (* end of lemma zenon_L68_ *)
% 0.99/1.20  assert (zenon_L69_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp16)) -> (~(hskp13)) -> False).
% 0.99/1.20  do 0 intro. intros zenon_H109 zenon_H27 zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H43 zenon_H8d zenon_H23 zenon_H25.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 0.99/1.20  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ].
% 0.99/1.20  apply (zenon_L68_); trivial.
% 0.99/1.20  apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ].
% 0.99/1.20  exact (zenon_H23 zenon_H24).
% 0.99/1.20  exact (zenon_H25 zenon_H26).
% 0.99/1.20  (* end of lemma zenon_L69_ *)
% 0.99/1.20  assert (zenon_L70_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H10d zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H35 zenon_H8d zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 0.99/1.21  apply (zenon_L62_); trivial.
% 0.99/1.21  apply (zenon_L69_); trivial.
% 0.99/1.21  (* end of lemma zenon_L70_ *)
% 0.99/1.21  assert (zenon_L71_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H107 zenon_H43 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H35 zenon_H8d.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.21  apply (zenon_L57_); trivial.
% 0.99/1.21  apply (zenon_L70_); trivial.
% 0.99/1.21  (* end of lemma zenon_L71_ *)
% 0.99/1.21  assert (zenon_L72_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H4b zenon_H46 zenon_H3 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H105 zenon_H43 zenon_H107 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H111.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.21  apply (zenon_L71_); trivial.
% 0.99/1.21  apply (zenon_L19_); trivial.
% 0.99/1.21  (* end of lemma zenon_L72_ *)
% 0.99/1.21  assert (zenon_L73_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H112 zenon_H4e zenon_H33 zenon_H37 zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H3 zenon_H46 zenon_H4b.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.21  apply (zenon_L72_); trivial.
% 0.99/1.21  apply (zenon_L20_); trivial.
% 0.99/1.21  (* end of lemma zenon_L73_ *)
% 0.99/1.21  assert (zenon_L74_ : (~(hskp30)) -> (hskp30) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H115 zenon_H116.
% 0.99/1.21  exact (zenon_H115 zenon_H116).
% 0.99/1.21  (* end of lemma zenon_L74_ *)
% 0.99/1.21  assert (zenon_L75_ : ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp30)) -> (~(hskp26)) -> (~(hskp19)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H117 zenon_H115 zenon_Hb5 zenon_H35.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H116 | zenon_intro zenon_H118 ].
% 0.99/1.21  exact (zenon_H115 zenon_H116).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H36 ].
% 0.99/1.21  exact (zenon_Hb5 zenon_Hb6).
% 0.99/1.21  exact (zenon_H35 zenon_H36).
% 0.99/1.21  (* end of lemma zenon_L75_ *)
% 0.99/1.21  assert (zenon_L76_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (c0_1 (a2450)) -> (c1_1 (a2450)) -> (c3_1 (a2450)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H119 zenon_Ha zenon_H11a zenon_H11b zenon_H11c.
% 0.99/1.21  generalize (zenon_H119 (a2450)). zenon_intro zenon_H11d.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11e ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ].
% 0.99/1.21  exact (zenon_H120 zenon_H11a).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ].
% 0.99/1.21  exact (zenon_H122 zenon_H11b).
% 0.99/1.21  exact (zenon_H121 zenon_H11c).
% 0.99/1.21  (* end of lemma zenon_L76_ *)
% 0.99/1.21  assert (zenon_L77_ : (~(hskp23)) -> (hskp23) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H123 zenon_H124.
% 0.99/1.21  exact (zenon_H123 zenon_H124).
% 0.99/1.21  (* end of lemma zenon_L77_ *)
% 0.99/1.21  assert (zenon_L78_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp23)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H125 zenon_H126 zenon_Hc3 zenon_H123.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H119 | zenon_intro zenon_H129 ].
% 0.99/1.21  apply (zenon_L76_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H124 ].
% 0.99/1.21  exact (zenon_Hc3 zenon_Hc4).
% 0.99/1.21  exact (zenon_H123 zenon_H124).
% 0.99/1.21  (* end of lemma zenon_L78_ *)
% 0.99/1.21  assert (zenon_L79_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp23)) -> (~(hskp14)) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H12a zenon_H126 zenon_H123 zenon_Hc3 zenon_Hb5 zenon_H35 zenon_H117.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 0.99/1.21  apply (zenon_L75_); trivial.
% 0.99/1.21  apply (zenon_L78_); trivial.
% 0.99/1.21  (* end of lemma zenon_L79_ *)
% 0.99/1.21  assert (zenon_L80_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> (~(hskp23)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H35 zenon_Hc3 zenon_H123 zenon_H126 zenon_H12a.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.21  apply (zenon_L79_); trivial.
% 0.99/1.21  apply (zenon_L51_); trivial.
% 0.99/1.21  (* end of lemma zenon_L80_ *)
% 0.99/1.21  assert (zenon_L81_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp1)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H66 zenon_H64 zenon_Ha6 zenon_H65 zenon_Ha zenon_H43.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 0.99/1.21  apply (zenon_L29_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 0.99/1.21  apply (zenon_L42_); trivial.
% 0.99/1.21  exact (zenon_H43 zenon_H44).
% 0.99/1.21  (* end of lemma zenon_L81_ *)
% 0.99/1.21  assert (zenon_L82_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a2455))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H39 zenon_Ha zenon_H12b zenon_Ha5 zenon_H12c zenon_H12d.
% 0.99/1.21  generalize (zenon_H39 (a2455)). zenon_intro zenon_H12e.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H12e); [ zenon_intro zenon_H9 | zenon_intro zenon_H12f ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H131 | zenon_intro zenon_H130 ].
% 0.99/1.21  exact (zenon_H12b zenon_H131).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H133 | zenon_intro zenon_H132 ].
% 0.99/1.21  generalize (zenon_Ha5 (a2455)). zenon_intro zenon_H134.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H134); [ zenon_intro zenon_H9 | zenon_intro zenon_H135 ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H137 | zenon_intro zenon_H136 ].
% 0.99/1.21  exact (zenon_H133 zenon_H137).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H132 ].
% 0.99/1.21  exact (zenon_H138 zenon_H12c).
% 0.99/1.21  exact (zenon_H132 zenon_H12d).
% 0.99/1.21  exact (zenon_H132 zenon_H12d).
% 0.99/1.21  (* end of lemma zenon_L82_ *)
% 0.99/1.21  assert (zenon_L83_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H4b zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H75 zenon_H74 zenon_H73 zenon_H46 zenon_H3 zenon_H139 zenon_H13a.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 0.99/1.21  apply (zenon_L80_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ].
% 0.99/1.21  apply (zenon_L81_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H39 | zenon_intro zenon_H49 ].
% 0.99/1.21  apply (zenon_L82_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H44 | zenon_intro zenon_H4 ].
% 0.99/1.21  exact (zenon_H43 zenon_H44).
% 0.99/1.21  exact (zenon_H3 zenon_H4).
% 0.99/1.21  exact (zenon_H43 zenon_H44).
% 0.99/1.21  apply (zenon_L19_); trivial.
% 0.99/1.21  (* end of lemma zenon_L83_ *)
% 0.99/1.21  assert (zenon_L84_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H98 zenon_H96 zenon_H117 zenon_H126 zenon_H12a zenon_H139 zenon_H13a zenon_H13e zenon_H111 zenon_H10e zenon_H27 zenon_H107 zenon_H105 zenon_Hef zenon_Hd9 zenon_H8d zenon_Hb7 zenon_H1 zenon_Hc6 zenon_Hca zenon_H62 zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_Haf zenon_Hb1 zenon_Hb3 zenon_H97.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 0.99/1.21  apply (zenon_L46_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 0.99/1.21  apply (zenon_L41_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 0.99/1.21  apply (zenon_L52_); trivial.
% 0.99/1.21  apply (zenon_L73_); trivial.
% 0.99/1.21  apply (zenon_L35_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 0.99/1.21  apply (zenon_L41_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 0.99/1.21  apply (zenon_L83_); trivial.
% 0.99/1.21  apply (zenon_L73_); trivial.
% 0.99/1.21  apply (zenon_L35_); trivial.
% 0.99/1.21  (* end of lemma zenon_L84_ *)
% 0.99/1.21  assert (zenon_L85_ : (~(hskp4)) -> (hskp4) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H13f zenon_H140.
% 0.99/1.21  exact (zenon_H13f zenon_H140).
% 0.99/1.21  (* end of lemma zenon_L85_ *)
% 0.99/1.21  assert (zenon_L86_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp4)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H45 zenon_H141 zenon_He zenon_Hd zenon_Hc zenon_H13f.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ].
% 0.99/1.21  apply (zenon_L6_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ].
% 0.99/1.21  apply (zenon_L17_); trivial.
% 0.99/1.21  exact (zenon_H13f zenon_H140).
% 0.99/1.21  (* end of lemma zenon_L86_ *)
% 0.99/1.21  assert (zenon_L87_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H4a zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H37.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.21  apply (zenon_L16_); trivial.
% 0.99/1.21  apply (zenon_L86_); trivial.
% 0.99/1.21  (* end of lemma zenon_L87_ *)
% 0.99/1.21  assert (zenon_L88_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.21  apply (zenon_L40_); trivial.
% 0.99/1.21  apply (zenon_L87_); trivial.
% 0.99/1.21  (* end of lemma zenon_L88_ *)
% 0.99/1.21  assert (zenon_L89_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 0.99/1.21  apply (zenon_L88_); trivial.
% 0.99/1.21  apply (zenon_L45_); trivial.
% 0.99/1.21  (* end of lemma zenon_L89_ *)
% 0.99/1.21  assert (zenon_L90_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H97 zenon_H6e zenon_H5b zenon_H15 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 0.99/1.21  apply (zenon_L88_); trivial.
% 0.99/1.21  apply (zenon_L28_); trivial.
% 0.99/1.21  (* end of lemma zenon_L90_ *)
% 0.99/1.21  assert (zenon_L91_ : (~(hskp21)) -> (hskp21) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H143 zenon_H144.
% 0.99/1.21  exact (zenon_H143 zenon_H144).
% 0.99/1.21  (* end of lemma zenon_L91_ *)
% 0.99/1.21  assert (zenon_L92_ : (~(hskp17)) -> (hskp17) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H145 zenon_H146.
% 0.99/1.21  exact (zenon_H145 zenon_H146).
% 0.99/1.21  (* end of lemma zenon_L92_ *)
% 0.99/1.21  assert (zenon_L93_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (~(c0_1 (a2455))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp17)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H147 zenon_H12d zenon_H12c zenon_Ha5 zenon_H12b zenon_Ha zenon_H143 zenon_H145.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H39 | zenon_intro zenon_H148 ].
% 0.99/1.21  apply (zenon_L82_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H146 ].
% 0.99/1.21  exact (zenon_H143 zenon_H144).
% 0.99/1.21  exact (zenon_H145 zenon_H146).
% 0.99/1.21  (* end of lemma zenon_L93_ *)
% 0.99/1.21  assert (zenon_L94_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp17)) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp1)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H13b zenon_H139 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H145 zenon_H143 zenon_H147 zenon_H43.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ].
% 0.99/1.21  apply (zenon_L81_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 0.99/1.21  apply (zenon_L93_); trivial.
% 0.99/1.21  exact (zenon_H43 zenon_H44).
% 0.99/1.21  (* end of lemma zenon_L94_ *)
% 0.99/1.21  assert (zenon_L95_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H149 zenon_Ha zenon_H14a zenon_H14b zenon_H14c.
% 0.99/1.21  generalize (zenon_H149 (a2437)). zenon_intro zenon_H14d.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H14d); [ zenon_intro zenon_H9 | zenon_intro zenon_H14e ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H150 | zenon_intro zenon_H14f ].
% 0.99/1.21  exact (zenon_H14a zenon_H150).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ].
% 0.99/1.21  exact (zenon_H152 zenon_H14b).
% 0.99/1.21  exact (zenon_H151 zenon_H14c).
% 0.99/1.21  (* end of lemma zenon_L95_ *)
% 0.99/1.21  assert (zenon_L96_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H153 zenon_H154 zenon_H43 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_He zenon_Hd zenon_Hc.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 0.99/1.21  apply (zenon_L81_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 0.99/1.21  apply (zenon_L6_); trivial.
% 0.99/1.21  apply (zenon_L95_); trivial.
% 0.99/1.21  (* end of lemma zenon_L96_ *)
% 0.99/1.21  assert (zenon_L97_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a2432)) -> (c1_1 (a2432)) -> (~(c0_1 (a2432))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp17)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H147 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_H143 zenon_H145.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H39 | zenon_intro zenon_H148 ].
% 0.99/1.21  apply (zenon_L17_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H146 ].
% 0.99/1.21  exact (zenon_H143 zenon_H144).
% 0.99/1.21  exact (zenon_H145 zenon_H146).
% 0.99/1.21  (* end of lemma zenon_L97_ *)
% 0.99/1.21  assert (zenon_L98_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H45 zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H145 zenon_H147.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 0.99/1.21  apply (zenon_L97_); trivial.
% 0.99/1.21  apply (zenon_L96_); trivial.
% 0.99/1.21  (* end of lemma zenon_L98_ *)
% 0.99/1.21  assert (zenon_L99_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_Ha5 zenon_Ha zenon_H159 zenon_H15a zenon_H15b.
% 0.99/1.21  generalize (zenon_Ha5 (a2427)). zenon_intro zenon_H15c.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H15c); [ zenon_intro zenon_H9 | zenon_intro zenon_H15d ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ].
% 0.99/1.21  exact (zenon_H159 zenon_H15f).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ].
% 0.99/1.21  exact (zenon_H161 zenon_H15a).
% 0.99/1.21  exact (zenon_H160 zenon_H15b).
% 0.99/1.21  (* end of lemma zenon_L99_ *)
% 0.99/1.21  assert (zenon_L100_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H162 zenon_H139 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H43.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ].
% 0.99/1.21  apply (zenon_L81_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 0.99/1.21  apply (zenon_L99_); trivial.
% 0.99/1.21  exact (zenon_H43 zenon_H44).
% 0.99/1.21  (* end of lemma zenon_L100_ *)
% 0.99/1.21  assert (zenon_L101_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H165 zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H75 zenon_H74 zenon_H73 zenon_H147 zenon_H139 zenon_H13a zenon_H4b.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 0.99/1.21  apply (zenon_L80_); trivial.
% 0.99/1.21  apply (zenon_L94_); trivial.
% 0.99/1.21  apply (zenon_L96_); trivial.
% 0.99/1.21  apply (zenon_L98_); trivial.
% 0.99/1.21  apply (zenon_L100_); trivial.
% 0.99/1.21  (* end of lemma zenon_L101_ *)
% 0.99/1.21  assert (zenon_L102_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H166 zenon_Ha zenon_H73 zenon_Ha6 zenon_H74 zenon_H75.
% 0.99/1.21  generalize (zenon_H166 (a2416)). zenon_intro zenon_H167.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H167); [ zenon_intro zenon_H9 | zenon_intro zenon_H168 ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H79 | zenon_intro zenon_H169 ].
% 0.99/1.21  exact (zenon_H73 zenon_H79).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H16a | zenon_intro zenon_H7a ].
% 0.99/1.21  generalize (zenon_Ha6 (a2416)). zenon_intro zenon_H16b.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H16b); [ zenon_intro zenon_H9 | zenon_intro zenon_H16c ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H16e | zenon_intro zenon_H16d ].
% 0.99/1.21  exact (zenon_H16a zenon_H16e).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H79 | zenon_intro zenon_H7b ].
% 0.99/1.21  exact (zenon_H73 zenon_H79).
% 0.99/1.21  exact (zenon_H74 zenon_H7b).
% 0.99/1.21  exact (zenon_H7a zenon_H75).
% 0.99/1.21  (* end of lemma zenon_L102_ *)
% 0.99/1.21  assert (zenon_L103_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H74 zenon_Ha6 zenon_H73 zenon_Ha zenon_Hed.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 0.99/1.21  apply (zenon_L6_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 0.99/1.21  apply (zenon_L102_); trivial.
% 0.99/1.21  exact (zenon_Hed zenon_Hee).
% 0.99/1.21  (* end of lemma zenon_L103_ *)
% 0.99/1.21  assert (zenon_L104_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp29)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (ndr1_0) -> (~(hskp0)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_Hb3 zenon_Hed zenon_H73 zenon_H74 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H66 zenon_H65 zenon_H64 zenon_Ha zenon_Hb1.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb4 ].
% 0.99/1.21  apply (zenon_L103_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb2 ].
% 0.99/1.21  apply (zenon_L27_); trivial.
% 0.99/1.21  exact (zenon_Hb1 zenon_Hb2).
% 0.99/1.21  (* end of lemma zenon_L104_ *)
% 0.99/1.21  assert (zenon_L105_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (c0_1 (a2409)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H149 zenon_Ha zenon_Hf9 zenon_Hfb zenon_Hfc zenon_H10c.
% 0.99/1.21  generalize (zenon_H149 (a2409)). zenon_intro zenon_H171.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H171); [ zenon_intro zenon_H9 | zenon_intro zenon_H172 ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hfa | zenon_intro zenon_H173 ].
% 0.99/1.21  apply (zenon_L65_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H102 ].
% 0.99/1.21  exact (zenon_H174 zenon_H10c).
% 0.99/1.21  exact (zenon_H102 zenon_Hfb).
% 0.99/1.21  (* end of lemma zenon_L105_ *)
% 0.99/1.21  assert (zenon_L106_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (~(c3_1 (a2420))) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (c0_1 (a2409)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hcd zenon_Hcc zenon_H4f zenon_Hda zenon_H149 zenon_Ha zenon_Hfb zenon_Hfc zenon_H10c.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 0.99/1.21  apply (zenon_L33_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 0.99/1.21  apply (zenon_L64_); trivial.
% 0.99/1.21  apply (zenon_L105_); trivial.
% 0.99/1.21  (* end of lemma zenon_L106_ *)
% 0.99/1.21  assert (zenon_L107_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2409)) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(hskp19)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H8d zenon_H10c zenon_Hfc zenon_Hfb zenon_H149 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_H35.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 0.99/1.21  apply (zenon_L106_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 0.99/1.21  apply (zenon_L33_); trivial.
% 0.99/1.21  exact (zenon_H35 zenon_H36).
% 0.99/1.21  (* end of lemma zenon_L107_ *)
% 0.99/1.21  assert (zenon_L108_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp19)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H109 zenon_H154 zenon_H43 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H35.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 0.99/1.21  apply (zenon_L81_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 0.99/1.21  apply (zenon_L6_); trivial.
% 0.99/1.21  apply (zenon_L107_); trivial.
% 0.99/1.21  (* end of lemma zenon_L108_ *)
% 0.99/1.21  assert (zenon_L109_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H112 zenon_H165 zenon_H139 zenon_H10e zenon_H154 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H43 zenon_H107 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H64 zenon_H65 zenon_H66 zenon_Hb1 zenon_Hb3 zenon_H147 zenon_H158 zenon_H4b.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 0.99/1.21  apply (zenon_L104_); trivial.
% 0.99/1.21  apply (zenon_L108_); trivial.
% 0.99/1.21  apply (zenon_L98_); trivial.
% 0.99/1.21  apply (zenon_L100_); trivial.
% 0.99/1.21  (* end of lemma zenon_L109_ *)
% 0.99/1.21  assert (zenon_L110_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H6d zenon_H13e zenon_H10e zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H16f zenon_Hb1 zenon_Hb3 zenon_H4b zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H165.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 0.99/1.21  apply (zenon_L101_); trivial.
% 0.99/1.21  apply (zenon_L109_); trivial.
% 0.99/1.21  (* end of lemma zenon_L110_ *)
% 0.99/1.21  assert (zenon_L111_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H80 zenon_H97 zenon_H13e zenon_H10e zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H16f zenon_Hb1 zenon_Hb3 zenon_H13a zenon_H139 zenon_H147 zenon_H43 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_Hc6 zenon_Hca zenon_H154 zenon_H158 zenon_H165 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 0.99/1.21  apply (zenon_L88_); trivial.
% 0.99/1.21  apply (zenon_L110_); trivial.
% 0.99/1.21  (* end of lemma zenon_L111_ *)
% 0.99/1.21  assert (zenon_L112_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H37 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.21  apply (zenon_L12_); trivial.
% 0.99/1.21  apply (zenon_L87_); trivial.
% 0.99/1.21  (* end of lemma zenon_L112_ *)
% 0.99/1.21  assert (zenon_L113_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H62 zenon_H5e zenon_H5b zenon_H59 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 0.99/1.21  apply (zenon_L112_); trivial.
% 0.99/1.21  apply (zenon_L25_); trivial.
% 0.99/1.21  (* end of lemma zenon_L113_ *)
% 0.99/1.21  assert (zenon_L114_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H80 zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H37 zenon_H7c zenon_H7e.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.21  apply (zenon_L31_); trivial.
% 0.99/1.21  apply (zenon_L87_); trivial.
% 0.99/1.21  (* end of lemma zenon_L114_ *)
% 0.99/1.21  assert (zenon_L115_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H5d zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H84 zenon_H85 zenon_H86 zenon_H8d.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.21  apply (zenon_L34_); trivial.
% 0.99/1.21  apply (zenon_L86_); trivial.
% 0.99/1.21  (* end of lemma zenon_L115_ *)
% 0.99/1.21  assert (zenon_L116_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H8f zenon_H62 zenon_H8d zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 0.99/1.21  apply (zenon_L112_); trivial.
% 0.99/1.21  apply (zenon_L115_); trivial.
% 0.99/1.21  (* end of lemma zenon_L116_ *)
% 0.99/1.21  assert (zenon_L117_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H92 zenon_H98 zenon_H8d zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_H33 zenon_H37 zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H7e zenon_H96.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 0.99/1.21  apply (zenon_L113_); trivial.
% 0.99/1.21  apply (zenon_L45_); trivial.
% 0.99/1.21  apply (zenon_L114_); trivial.
% 0.99/1.21  apply (zenon_L116_); trivial.
% 0.99/1.21  (* end of lemma zenon_L117_ *)
% 0.99/1.21  assert (zenon_L118_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H175 zenon_H95 zenon_H141 zenon_H13f zenon_H5e zenon_H7e zenon_H96 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H27 zenon_H8d zenon_H62 zenon_H98.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 0.99/1.21  apply (zenon_L46_); trivial.
% 0.99/1.21  apply (zenon_L36_); trivial.
% 0.99/1.21  apply (zenon_L117_); trivial.
% 0.99/1.21  (* end of lemma zenon_L118_ *)
% 0.99/1.21  assert (zenon_L119_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H178 zenon_H5e zenon_H7e zenon_H98 zenon_H96 zenon_H117 zenon_H126 zenon_H12a zenon_H139 zenon_H13a zenon_H13e zenon_H111 zenon_H10e zenon_H27 zenon_H107 zenon_H105 zenon_Hef zenon_Hd9 zenon_H8d zenon_Hb7 zenon_Hc6 zenon_Hca zenon_H62 zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_Haf zenon_Hb1 zenon_Hb3 zenon_H97 zenon_H13f zenon_H141 zenon_H6e zenon_H15 zenon_H165 zenon_H158 zenon_H154 zenon_H147 zenon_H16f zenon_H95.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 0.99/1.21  apply (zenon_L84_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 0.99/1.21  apply (zenon_L89_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 0.99/1.21  apply (zenon_L90_); trivial.
% 0.99/1.21  apply (zenon_L111_); trivial.
% 0.99/1.21  apply (zenon_L118_); trivial.
% 0.99/1.21  (* end of lemma zenon_L119_ *)
% 0.99/1.21  assert (zenon_L120_ : (forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (ndr1_0) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c2_1 (a2484)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_Hdc zenon_Ha zenon_Hba zenon_Hbb zenon_H179.
% 0.99/1.21  generalize (zenon_Hdc (a2484)). zenon_intro zenon_H17a.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H17a); [ zenon_intro zenon_H9 | zenon_intro zenon_H17b ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H17c ].
% 0.99/1.21  exact (zenon_Hba zenon_Hc0).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H17d ].
% 0.99/1.21  exact (zenon_Hc2 zenon_Hbb).
% 0.99/1.21  exact (zenon_H17d zenon_H179).
% 0.99/1.21  (* end of lemma zenon_L120_ *)
% 0.99/1.21  assert (zenon_L121_ : (forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (c2_1 (a2484)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_Hd4 zenon_Ha zenon_Hbb zenon_Hbc zenon_H179.
% 0.99/1.21  generalize (zenon_Hd4 (a2484)). zenon_intro zenon_H17e.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H17e); [ zenon_intro zenon_H9 | zenon_intro zenon_H17f ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H180 ].
% 0.99/1.21  exact (zenon_Hc2 zenon_Hbb).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H17d ].
% 0.99/1.21  exact (zenon_Hc1 zenon_Hbc).
% 0.99/1.21  exact (zenon_H17d zenon_H179).
% 0.99/1.21  (* end of lemma zenon_L121_ *)
% 0.99/1.21  assert (zenon_L122_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c3_1 (a2484))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H29 zenon_Ha zenon_Hd4 zenon_Hbb zenon_Hbc zenon_Hba.
% 0.99/1.21  generalize (zenon_H29 (a2484)). zenon_intro zenon_H181.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H181); [ zenon_intro zenon_H9 | zenon_intro zenon_H182 ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H179 | zenon_intro zenon_H183 ].
% 0.99/1.21  apply (zenon_L121_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ].
% 0.99/1.21  exact (zenon_Hba zenon_Hc0).
% 0.99/1.21  exact (zenon_Hc2 zenon_Hbb).
% 0.99/1.21  (* end of lemma zenon_L122_ *)
% 0.99/1.21  assert (zenon_L123_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c3_1 (a2484))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3)))))) -> (~(hskp20)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_Hd9 zenon_Hba zenon_Hbc zenon_Hbb zenon_Ha zenon_H29 zenon_Hd7.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ].
% 0.99/1.21  generalize (zenon_H29 (a2484)). zenon_intro zenon_H181.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H181); [ zenon_intro zenon_H9 | zenon_intro zenon_H182 ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H179 | zenon_intro zenon_H183 ].
% 0.99/1.21  apply (zenon_L120_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ].
% 0.99/1.21  exact (zenon_Hba zenon_Hc0).
% 0.99/1.21  exact (zenon_Hc2 zenon_Hbb).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ].
% 0.99/1.21  apply (zenon_L122_); trivial.
% 0.99/1.21  exact (zenon_Hd7 zenon_Hd8).
% 0.99/1.21  (* end of lemma zenon_L123_ *)
% 0.99/1.21  assert (zenon_L124_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H184 zenon_Ha zenon_H12b zenon_H12c zenon_H12d.
% 0.99/1.21  generalize (zenon_H184 (a2455)). zenon_intro zenon_H185.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H185); [ zenon_intro zenon_H9 | zenon_intro zenon_H186 ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H131 | zenon_intro zenon_H136 ].
% 0.99/1.21  exact (zenon_H12b zenon_H131).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H132 ].
% 0.99/1.21  exact (zenon_H138 zenon_H12c).
% 0.99/1.21  exact (zenon_H132 zenon_H12d).
% 0.99/1.21  (* end of lemma zenon_L124_ *)
% 0.99/1.21  assert (zenon_L125_ : (~(hskp15)) -> (hskp15) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H187 zenon_H188.
% 0.99/1.21  exact (zenon_H187 zenon_H188).
% 0.99/1.21  (* end of lemma zenon_L125_ *)
% 0.99/1.21  assert (zenon_L126_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H13b zenon_H189 zenon_H187.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H184 | zenon_intro zenon_H188 ].
% 0.99/1.21  apply (zenon_L124_); trivial.
% 0.99/1.21  exact (zenon_H187 zenon_H188).
% 0.99/1.21  (* end of lemma zenon_L126_ *)
% 0.99/1.21  assert (zenon_L127_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_Hd9 zenon_Hd7 zenon_H33 zenon_H37 zenon_Hca.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.21  apply (zenon_L79_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H29 | zenon_intro zenon_H38 ].
% 0.99/1.21  apply (zenon_L123_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H34 | zenon_intro zenon_H36 ].
% 0.99/1.21  exact (zenon_H33 zenon_H34).
% 0.99/1.21  exact (zenon_H35 zenon_H36).
% 0.99/1.21  apply (zenon_L126_); trivial.
% 0.99/1.21  (* end of lemma zenon_L127_ *)
% 0.99/1.21  assert (zenon_L128_ : (forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H18a zenon_Ha zenon_He1 zenon_He2 zenon_Hf1.
% 0.99/1.21  generalize (zenon_H18a (a2435)). zenon_intro zenon_H18b.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H18b); [ zenon_intro zenon_H9 | zenon_intro zenon_H18c ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf4 ].
% 0.99/1.21  exact (zenon_He1 zenon_He7).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf5 ].
% 0.99/1.21  exact (zenon_He2 zenon_He9).
% 0.99/1.21  exact (zenon_Hf5 zenon_Hf1).
% 0.99/1.21  (* end of lemma zenon_L128_ *)
% 0.99/1.21  assert (zenon_L129_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(hskp12)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H125 zenon_H18d zenon_Hf1 zenon_He2 zenon_He1 zenon_H59.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ].
% 0.99/1.21  apply (zenon_L128_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ].
% 0.99/1.21  apply (zenon_L76_); trivial.
% 0.99/1.21  exact (zenon_H59 zenon_H5a).
% 0.99/1.21  (* end of lemma zenon_L129_ *)
% 0.99/1.21  assert (zenon_L130_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H12a zenon_H18d zenon_H59 zenon_Hf1 zenon_He2 zenon_He1 zenon_Hb5 zenon_H35 zenon_H117.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 0.99/1.21  apply (zenon_L75_); trivial.
% 0.99/1.21  apply (zenon_L129_); trivial.
% 0.99/1.21  (* end of lemma zenon_L130_ *)
% 0.99/1.21  assert (zenon_L131_ : (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c3_1 (a2410)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H18f zenon_Ha zenon_H190 zenon_H191 zenon_H192.
% 0.99/1.21  generalize (zenon_H18f (a2410)). zenon_intro zenon_H193.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H193); [ zenon_intro zenon_H9 | zenon_intro zenon_H194 ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H196 | zenon_intro zenon_H195 ].
% 0.99/1.21  exact (zenon_H190 zenon_H196).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H198 | zenon_intro zenon_H197 ].
% 0.99/1.21  exact (zenon_H198 zenon_H191).
% 0.99/1.21  exact (zenon_H197 zenon_H192).
% 0.99/1.21  (* end of lemma zenon_L131_ *)
% 0.99/1.21  assert (zenon_L132_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c1_1 (a2410)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H199 zenon_Ha zenon_H190 zenon_H18f zenon_H191.
% 0.99/1.21  generalize (zenon_H199 (a2410)). zenon_intro zenon_H19a.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H19a); [ zenon_intro zenon_H9 | zenon_intro zenon_H19b ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H196 | zenon_intro zenon_H19c ].
% 0.99/1.21  exact (zenon_H190 zenon_H196).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H192 | zenon_intro zenon_H198 ].
% 0.99/1.21  apply (zenon_L131_); trivial.
% 0.99/1.21  exact (zenon_H198 zenon_H191).
% 0.99/1.21  (* end of lemma zenon_L132_ *)
% 0.99/1.21  assert (zenon_L133_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6)))))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (ndr1_0) -> (~(hskp30)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H19d zenon_H191 zenon_H190 zenon_H199 zenon_Hbc zenon_Hbb zenon_Hba zenon_Ha zenon_H115.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18f | zenon_intro zenon_H19e ].
% 0.99/1.21  apply (zenon_L132_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H116 ].
% 0.99/1.21  apply (zenon_L49_); trivial.
% 0.99/1.21  exact (zenon_H115 zenon_H116).
% 0.99/1.21  (* end of lemma zenon_L133_ *)
% 0.99/1.21  assert (zenon_L134_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(hskp30)) -> (ndr1_0) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp23)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H19f zenon_Hf1 zenon_He2 zenon_He1 zenon_H19 zenon_H115 zenon_Ha zenon_Hba zenon_Hbb zenon_Hbc zenon_H190 zenon_H191 zenon_H19d zenon_H123.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 0.99/1.21  apply (zenon_L63_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 0.99/1.21  apply (zenon_L133_); trivial.
% 0.99/1.21  exact (zenon_H123 zenon_H124).
% 0.99/1.21  (* end of lemma zenon_L134_ *)
% 0.99/1.21  assert (zenon_L135_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H12a zenon_H18d zenon_H59 zenon_H19f zenon_H123 zenon_H190 zenon_H191 zenon_Hba zenon_Hbb zenon_Hbc zenon_H19d zenon_Hf1 zenon_He2 zenon_He1 zenon_Ha zenon_Hed zenon_Hb1 zenon_Hef.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ].
% 0.99/1.21  apply (zenon_L134_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ].
% 0.99/1.21  exact (zenon_Hed zenon_Hee).
% 0.99/1.21  exact (zenon_Hb1 zenon_Hb2).
% 0.99/1.21  apply (zenon_L129_); trivial.
% 0.99/1.21  (* end of lemma zenon_L135_ *)
% 0.99/1.21  assert (zenon_L136_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (c0_1 (a2409)) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (~(hskp10)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H1a1 zenon_Hbc zenon_Hbb zenon_Hba zenon_H10c zenon_Hfc zenon_Hfb zenon_Ha zenon_H149 zenon_H7c.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ].
% 0.99/1.21  apply (zenon_L49_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ].
% 0.99/1.21  apply (zenon_L105_); trivial.
% 0.99/1.21  exact (zenon_H7c zenon_H7d).
% 0.99/1.21  (* end of lemma zenon_L136_ *)
% 0.99/1.21  assert (zenon_L137_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H13b zenon_H1a3 zenon_He zenon_Hd zenon_Hc zenon_H33.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a4 ].
% 0.99/1.21  apply (zenon_L6_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H184 | zenon_intro zenon_H34 ].
% 0.99/1.21  apply (zenon_L124_); trivial.
% 0.99/1.21  exact (zenon_H33 zenon_H34).
% 0.99/1.21  (* end of lemma zenon_L137_ *)
% 0.99/1.21  assert (zenon_L138_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H10d zenon_H13a zenon_H1a3 zenon_H33 zenon_H12a zenon_H18d zenon_H59 zenon_H35 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H27 zenon_H25 zenon_H23 zenon_Hc zenon_Hd zenon_He zenon_H1a1 zenon_H7c zenon_H154 zenon_H10e zenon_Hca.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.21  apply (zenon_L130_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 0.99/1.21  apply (zenon_L135_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ].
% 0.99/1.21  apply (zenon_L59_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ].
% 0.99/1.21  exact (zenon_H23 zenon_H24).
% 0.99/1.21  exact (zenon_H25 zenon_H26).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 0.99/1.21  apply (zenon_L6_); trivial.
% 0.99/1.21  apply (zenon_L136_); trivial.
% 0.99/1.21  apply (zenon_L137_); trivial.
% 0.99/1.21  (* end of lemma zenon_L138_ *)
% 0.99/1.21  assert (zenon_L139_ : (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H18f zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 0.99/1.21  generalize (zenon_H18f (a2422)). zenon_intro zenon_H1a8.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H1a8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a9 ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ].
% 0.99/1.21  exact (zenon_H1a5 zenon_H1ab).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ].
% 0.99/1.21  exact (zenon_H1ad zenon_H1a6).
% 0.99/1.21  exact (zenon_H1ac zenon_H1a7).
% 0.99/1.21  (* end of lemma zenon_L139_ *)
% 0.99/1.21  assert (zenon_L140_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (ndr1_0) -> (~(hskp30)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hbc zenon_Hbb zenon_Hba zenon_Ha zenon_H115.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18f | zenon_intro zenon_H19e ].
% 0.99/1.21  apply (zenon_L139_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H116 ].
% 0.99/1.21  apply (zenon_L49_); trivial.
% 0.99/1.21  exact (zenon_H115 zenon_H116).
% 0.99/1.21  (* end of lemma zenon_L140_ *)
% 0.99/1.21  assert (zenon_L141_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> (~(hskp23)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc3 zenon_H123 zenon_H126 zenon_H12a.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.21  apply (zenon_L79_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 0.99/1.21  apply (zenon_L140_); trivial.
% 0.99/1.21  apply (zenon_L78_); trivial.
% 0.99/1.21  (* end of lemma zenon_L141_ *)
% 0.99/1.21  assert (zenon_L142_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 0.99/1.21  apply (zenon_L141_); trivial.
% 0.99/1.21  apply (zenon_L137_); trivial.
% 0.99/1.21  (* end of lemma zenon_L142_ *)
% 0.99/1.21  assert (zenon_L143_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (c3_1 (a2432)) -> (c1_1 (a2432)) -> (~(c0_1 (a2432))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H1ae zenon_H3c zenon_H3b zenon_H3a zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd7.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H39 | zenon_intro zenon_H1af ].
% 0.99/1.21  apply (zenon_L17_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H18f | zenon_intro zenon_Hd8 ].
% 0.99/1.21  apply (zenon_L139_); trivial.
% 0.99/1.21  exact (zenon_Hd7 zenon_Hd8).
% 0.99/1.21  (* end of lemma zenon_L143_ *)
% 0.99/1.21  assert (zenon_L144_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H119 zenon_Ha zenon_H19 zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 0.99/1.21  generalize (zenon_H119 (a2422)). zenon_intro zenon_H1b0.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H1b0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b1 ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1aa ].
% 0.99/1.21  generalize (zenon_H19 (a2422)). zenon_intro zenon_H1b3.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H1b3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b4 ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b5 ].
% 0.99/1.21  exact (zenon_H1b2 zenon_H1b6).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1ad ].
% 0.99/1.21  exact (zenon_H1a5 zenon_H1ab).
% 0.99/1.21  exact (zenon_H1ad zenon_H1a6).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ].
% 0.99/1.21  exact (zenon_H1ad zenon_H1a6).
% 0.99/1.21  exact (zenon_H1ac zenon_H1a7).
% 0.99/1.21  (* end of lemma zenon_L144_ *)
% 0.99/1.21  assert (zenon_L145_ : ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H18d zenon_Hf1 zenon_He2 zenon_He1 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H19 zenon_Ha zenon_H59.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ].
% 0.99/1.21  apply (zenon_L128_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ].
% 0.99/1.21  apply (zenon_L144_); trivial.
% 0.99/1.21  exact (zenon_H59 zenon_H5a).
% 0.99/1.21  (* end of lemma zenon_L145_ *)
% 0.99/1.21  assert (zenon_L146_ : (~(hskp18)) -> (hskp18) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H1b7 zenon_H1b8.
% 0.99/1.21  exact (zenon_H1b7 zenon_H1b8).
% 0.99/1.21  (* end of lemma zenon_L146_ *)
% 0.99/1.21  assert (zenon_L147_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp17)) -> (~(hskp18)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H10d zenon_H1b9 zenon_H59 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H18d zenon_H145 zenon_H1b7.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ].
% 0.99/1.21  apply (zenon_L145_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ].
% 0.99/1.21  exact (zenon_H145 zenon_H146).
% 0.99/1.21  exact (zenon_H1b7 zenon_H1b8).
% 0.99/1.21  (* end of lemma zenon_L147_ *)
% 0.99/1.21  assert (zenon_L148_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H45 zenon_H111 zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H59 zenon_H18d zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.21  apply (zenon_L143_); trivial.
% 0.99/1.21  apply (zenon_L147_); trivial.
% 0.99/1.21  (* end of lemma zenon_L148_ *)
% 0.99/1.21  assert (zenon_L149_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> (ndr1_0) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H1bb zenon_Ha zenon_H1bc zenon_H1bd zenon_H1be.
% 0.99/1.21  generalize (zenon_H1bb (a2428)). zenon_intro zenon_H1bf.
% 0.99/1.21  apply (zenon_imply_s _ _ zenon_H1bf); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c0 ].
% 0.99/1.21  exact (zenon_H9 zenon_Ha).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1c1 ].
% 0.99/1.21  exact (zenon_H1bc zenon_H1c2).
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c3 ].
% 0.99/1.21  exact (zenon_H1bd zenon_H1c4).
% 0.99/1.21  exact (zenon_H1be zenon_H1c3).
% 0.99/1.21  (* end of lemma zenon_L149_ *)
% 0.99/1.21  assert (zenon_L150_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp14)) -> (~(hskp1)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H1c5 zenon_H1c6 zenon_Hc3 zenon_H43.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c9 ].
% 0.99/1.21  apply (zenon_L149_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H44 ].
% 0.99/1.21  exact (zenon_Hc3 zenon_Hc4).
% 0.99/1.21  exact (zenon_H43 zenon_H44).
% 0.99/1.21  (* end of lemma zenon_L150_ *)
% 0.99/1.21  assert (zenon_L151_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H1ae zenon_H18d zenon_H59 zenon_H145 zenon_H1b9 zenon_H111 zenon_H4b.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.21  apply (zenon_L142_); trivial.
% 0.99/1.21  apply (zenon_L148_); trivial.
% 0.99/1.21  apply (zenon_L150_); trivial.
% 0.99/1.21  (* end of lemma zenon_L151_ *)
% 0.99/1.21  assert (zenon_L152_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (~(hskp20)) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c3_1 (a2484))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H125 zenon_H1cb zenon_H15b zenon_H15a zenon_H159 zenon_Hd7 zenon_Hbb zenon_Hbc zenon_Hba zenon_Hd9.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 0.99/1.21  apply (zenon_L99_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 0.99/1.21  apply (zenon_L123_); trivial.
% 0.99/1.21  apply (zenon_L76_); trivial.
% 0.99/1.21  (* end of lemma zenon_L152_ *)
% 0.99/1.21  assert (zenon_L153_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_Hca zenon_H12a zenon_H1cb zenon_Hd7 zenon_Hd9 zenon_H15b zenon_H15a zenon_H159 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H1 zenon_H5b zenon_Hb7.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.21  apply (zenon_L48_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 0.99/1.21  apply (zenon_L140_); trivial.
% 0.99/1.21  apply (zenon_L152_); trivial.
% 0.99/1.21  (* end of lemma zenon_L153_ *)
% 0.99/1.21  assert (zenon_L154_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H18d zenon_H59 zenon_Hf1 zenon_He2 zenon_He1 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 0.99/1.21  apply (zenon_L140_); trivial.
% 0.99/1.21  apply (zenon_L129_); trivial.
% 0.99/1.21  (* end of lemma zenon_L154_ *)
% 0.99/1.21  assert (zenon_L155_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H10d zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_H59 zenon_H18d zenon_H12a.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.21  apply (zenon_L130_); trivial.
% 0.99/1.21  apply (zenon_L154_); trivial.
% 0.99/1.21  (* end of lemma zenon_L155_ *)
% 0.99/1.21  assert (zenon_L156_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H111 zenon_H117 zenon_H35 zenon_H59 zenon_H18d zenon_Hb7 zenon_H5b zenon_H1 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H159 zenon_H15a zenon_H15b zenon_Hd9 zenon_H1cb zenon_H12a zenon_Hca.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.21  apply (zenon_L153_); trivial.
% 0.99/1.21  apply (zenon_L155_); trivial.
% 0.99/1.21  (* end of lemma zenon_L156_ *)
% 0.99/1.21  assert (zenon_L157_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp20)) -> (ndr1_0) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H5e zenon_Hd7 zenon_Ha zenon_Hcc zenon_Hcd zenon_Hda zenon_Hd9 zenon_H59 zenon_H5b.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4f | zenon_intro zenon_H61 ].
% 0.99/1.21  apply (zenon_L56_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H5a | zenon_intro zenon_H5c ].
% 0.99/1.21  exact (zenon_H59 zenon_H5a).
% 0.99/1.21  exact (zenon_H5b zenon_H5c).
% 0.99/1.21  (* end of lemma zenon_L157_ *)
% 0.99/1.21  assert (zenon_L158_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H96 zenon_H7e zenon_H62 zenon_H1cd zenon_H165 zenon_H1cb zenon_H1 zenon_Hb7 zenon_H1b9 zenon_H1ae zenon_H43 zenon_H1c6 zenon_H1ca zenon_H4b zenon_H141 zenon_H13f zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_Hd9 zenon_H33 zenon_H37 zenon_Hca zenon_H10e zenon_H154 zenon_H7c zenon_H1a1 zenon_He zenon_Hd zenon_Hc zenon_H27 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H18d zenon_H1a3 zenon_H111 zenon_H4e zenon_H5e zenon_H13e zenon_Haf zenon_Hb3 zenon_H97.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.21  apply (zenon_L127_); trivial.
% 0.99/1.21  apply (zenon_L138_); trivial.
% 0.99/1.21  apply (zenon_L86_); trivial.
% 0.99/1.21  apply (zenon_L87_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.21  apply (zenon_L151_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.21  apply (zenon_L156_); trivial.
% 0.99/1.21  apply (zenon_L86_); trivial.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.21  apply (zenon_L157_); trivial.
% 0.99/1.21  apply (zenon_L138_); trivial.
% 0.99/1.21  apply (zenon_L86_); trivial.
% 0.99/1.21  apply (zenon_L87_); trivial.
% 0.99/1.21  apply (zenon_L25_); trivial.
% 0.99/1.21  apply (zenon_L45_); trivial.
% 0.99/1.21  apply (zenon_L114_); trivial.
% 0.99/1.21  (* end of lemma zenon_L158_ *)
% 0.99/1.21  assert (zenon_L159_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hbc zenon_Hbb zenon_Hba zenon_Ha5 zenon_Ha zenon_Hfb zenon_Hfc.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 0.99/1.21  apply (zenon_L33_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 0.99/1.21  apply (zenon_L49_); trivial.
% 0.99/1.21  apply (zenon_L66_); trivial.
% 0.99/1.21  (* end of lemma zenon_L159_ *)
% 0.99/1.21  assert (zenon_L160_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (ndr1_0) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_H19 zenon_Hfc zenon_Hfb zenon_Ha zenon_Hba zenon_Hbb zenon_Hbc zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H43.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 0.99/1.21  apply (zenon_L63_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 0.99/1.21  apply (zenon_L159_); trivial.
% 0.99/1.21  exact (zenon_H43 zenon_H44).
% 0.99/1.21  (* end of lemma zenon_L160_ *)
% 0.99/1.21  assert (zenon_L161_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp16)) -> (~(hskp13)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H109 zenon_H27 zenon_H43 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hbc zenon_Hbb zenon_Hba zenon_He1 zenon_He2 zenon_Hf1 zenon_H107 zenon_H23 zenon_H25.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ].
% 0.99/1.21  apply (zenon_L160_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ].
% 0.99/1.21  exact (zenon_H23 zenon_H24).
% 0.99/1.21  exact (zenon_H25 zenon_H26).
% 0.99/1.21  (* end of lemma zenon_L161_ *)
% 0.99/1.21  assert (zenon_L162_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (~(hskp1)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_H19 zenon_H12d zenon_H12c zenon_H12b zenon_Ha zenon_H39 zenon_H43.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 0.99/1.21  apply (zenon_L63_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 0.99/1.21  apply (zenon_L82_); trivial.
% 0.99/1.21  exact (zenon_H43 zenon_H44).
% 0.99/1.21  (* end of lemma zenon_L162_ *)
% 0.99/1.21  assert (zenon_L163_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp4)) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H13b zenon_H141 zenon_He zenon_Hd zenon_Hc zenon_H1b7 zenon_H145 zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_H43 zenon_H1b9 zenon_H13f.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ].
% 0.99/1.21  apply (zenon_L6_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ].
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ].
% 0.99/1.21  apply (zenon_L162_); trivial.
% 0.99/1.21  apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ].
% 0.99/1.21  exact (zenon_H145 zenon_H146).
% 0.99/1.21  exact (zenon_H1b7 zenon_H1b8).
% 0.99/1.21  exact (zenon_H13f zenon_H140).
% 0.99/1.21  (* end of lemma zenon_L163_ *)
% 0.99/1.21  assert (zenon_L164_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 0.99/1.21  do 0 intro. intros zenon_H10d zenon_H13a zenon_H141 zenon_H13f zenon_H145 zenon_H1b7 zenon_H1b9 zenon_He zenon_Hd zenon_Hc zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca.
% 0.99/1.21  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.22  apply (zenon_L48_); trivial.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 0.99/1.22  apply (zenon_L135_); trivial.
% 0.99/1.22  apply (zenon_L161_); trivial.
% 0.99/1.22  apply (zenon_L163_); trivial.
% 0.99/1.22  (* end of lemma zenon_L164_ *)
% 0.99/1.22  assert (zenon_L165_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a2432))) -> (~(c2_1 (a2432))) -> (c1_1 (a2432)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H19 zenon_Ha zenon_H3a zenon_H1d1 zenon_H3b.
% 0.99/1.22  generalize (zenon_H19 (a2432)). zenon_intro zenon_H1d2.
% 0.99/1.22  apply (zenon_imply_s _ _ zenon_H1d2); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ].
% 0.99/1.22  exact (zenon_H9 zenon_Ha).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H40 | zenon_intro zenon_H1d4 ].
% 0.99/1.22  exact (zenon_H3a zenon_H40).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H42 ].
% 0.99/1.22  exact (zenon_H1d1 zenon_H1d5).
% 0.99/1.22  exact (zenon_H42 zenon_H3b).
% 0.99/1.22  (* end of lemma zenon_L165_ *)
% 0.99/1.22  assert (zenon_L166_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (c3_1 (a2432)) -> (c1_1 (a2432)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c0_1 (a2432))) -> (ndr1_0) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H189 zenon_H187 zenon_H3c zenon_H3b zenon_H19 zenon_H3a zenon_Ha.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H184 | zenon_intro zenon_H188 ].
% 0.99/1.22  generalize (zenon_H184 (a2432)). zenon_intro zenon_H1d6.
% 0.99/1.22  apply (zenon_imply_s _ _ zenon_H1d6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d7 ].
% 0.99/1.22  exact (zenon_H9 zenon_Ha).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H40 | zenon_intro zenon_H1d8 ].
% 0.99/1.22  exact (zenon_H3a zenon_H40).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H41 ].
% 0.99/1.22  apply (zenon_L165_); trivial.
% 0.99/1.22  exact (zenon_H41 zenon_H3c).
% 0.99/1.22  exact (zenon_H187 zenon_H188).
% 0.99/1.22  (* end of lemma zenon_L166_ *)
% 0.99/1.22  assert (zenon_L167_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp17)) -> (~(hskp18)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H45 zenon_H1b9 zenon_H187 zenon_H189 zenon_H145 zenon_H1b7.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ].
% 0.99/1.22  apply (zenon_L166_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ].
% 0.99/1.22  exact (zenon_H145 zenon_H146).
% 0.99/1.22  exact (zenon_H1b7 zenon_H1b8).
% 0.99/1.22  (* end of lemma zenon_L167_ *)
% 0.99/1.22  assert (zenon_L168_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> (~(hskp1)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1c5 zenon_H1d9 zenon_H25 zenon_H43.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1da ].
% 0.99/1.22  apply (zenon_L149_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H26 | zenon_intro zenon_H44 ].
% 0.99/1.22  exact (zenon_H25 zenon_H26).
% 0.99/1.22  exact (zenon_H43 zenon_H44).
% 0.99/1.22  (* end of lemma zenon_L168_ *)
% 0.99/1.22  assert (zenon_L169_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp11)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1db zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H143 zenon_H5b.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1dc ].
% 0.99/1.22  apply (zenon_L99_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_H5c ].
% 0.99/1.22  exact (zenon_H143 zenon_H144).
% 0.99/1.22  exact (zenon_H5b zenon_H5c).
% 0.99/1.22  (* end of lemma zenon_L169_ *)
% 0.99/1.22  assert (zenon_L170_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp0)) -> (~(hskp29)) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H154 zenon_Hb1 zenon_Hed zenon_He1 zenon_He2 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H14a zenon_H14b zenon_H14c.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 0.99/1.22  apply (zenon_L61_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 0.99/1.22  apply (zenon_L6_); trivial.
% 0.99/1.22  apply (zenon_L95_); trivial.
% 0.99/1.22  (* end of lemma zenon_L170_ *)
% 0.99/1.22  assert (zenon_L171_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (c3_1 (a2435)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_Hf1 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_He2 zenon_He1 zenon_Hc zenon_Hd zenon_He zenon_H14a zenon_H14b zenon_H14c zenon_H154.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 0.99/1.22  apply (zenon_L170_); trivial.
% 0.99/1.22  apply (zenon_L161_); trivial.
% 0.99/1.22  (* end of lemma zenon_L171_ *)
% 0.99/1.22  assert (zenon_L172_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (c3_1 (a2435)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H153 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_Hf1 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_He2 zenon_He1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1 zenon_H5b zenon_Hb7.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.22  apply (zenon_L48_); trivial.
% 0.99/1.22  apply (zenon_L171_); trivial.
% 0.99/1.22  (* end of lemma zenon_L172_ *)
% 0.99/1.22  assert (zenon_L173_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H10d zenon_H158 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1 zenon_Hb7 zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 0.99/1.22  apply (zenon_L169_); trivial.
% 0.99/1.22  apply (zenon_L172_); trivial.
% 0.99/1.22  (* end of lemma zenon_L173_ *)
% 0.99/1.22  assert (zenon_L174_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c3_1 (a2484))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(hskp20)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp29)) -> (~(hskp0)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_Hef zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd9 zenon_Hba zenon_Hbc zenon_Hbb zenon_Hd7 zenon_H39 zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_Hed zenon_Hb1.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 0.99/1.22  apply (zenon_L82_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 0.99/1.22  apply (zenon_L123_); trivial.
% 0.99/1.22  apply (zenon_L144_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ].
% 0.99/1.22  exact (zenon_Hed zenon_Hee).
% 0.99/1.22  exact (zenon_Hb1 zenon_Hb2).
% 0.99/1.22  (* end of lemma zenon_L174_ *)
% 0.99/1.22  assert (zenon_L175_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> (~(hskp29)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp20)) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c3_1 (a2484))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp4)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H141 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hed zenon_H1cb zenon_H12d zenon_H12c zenon_H12b zenon_Hd7 zenon_Hbb zenon_Hbc zenon_Hba zenon_Hd9 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hef zenon_H13f.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ].
% 0.99/1.22  apply (zenon_L6_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ].
% 0.99/1.22  apply (zenon_L174_); trivial.
% 0.99/1.22  exact (zenon_H13f zenon_H140).
% 0.99/1.22  (* end of lemma zenon_L175_ *)
% 0.99/1.22  assert (zenon_L176_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))) -> (ndr1_0) -> (c0_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1dd zenon_Ha zenon_H10c zenon_Hfb zenon_Hfc.
% 0.99/1.22  generalize (zenon_H1dd (a2409)). zenon_intro zenon_H1de.
% 0.99/1.22  apply (zenon_imply_s _ _ zenon_H1de); [ zenon_intro zenon_H9 | zenon_intro zenon_H1df ].
% 0.99/1.22  exact (zenon_H9 zenon_Ha).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H174 | zenon_intro zenon_Hff ].
% 0.99/1.22  exact (zenon_H174 zenon_H10c).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H102 | zenon_intro zenon_H101 ].
% 0.99/1.22  exact (zenon_H102 zenon_Hfb).
% 0.99/1.22  exact (zenon_H101 zenon_Hfc).
% 0.99/1.22  (* end of lemma zenon_L176_ *)
% 0.99/1.22  assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp20)) -> (~(hskp18)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H109 zenon_H1e0 zenon_Hd7 zenon_H1b7.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1e1 ].
% 0.99/1.22  apply (zenon_L176_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1b8 ].
% 0.99/1.22  exact (zenon_Hd7 zenon_Hd8).
% 0.99/1.22  exact (zenon_H1b7 zenon_H1b8).
% 0.99/1.22  (* end of lemma zenon_L177_ *)
% 0.99/1.22  assert (zenon_L178_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H10d zenon_H13a zenon_H141 zenon_H13f zenon_H107 zenon_H43 zenon_H145 zenon_H1b7 zenon_H1b9 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 0.99/1.22  apply (zenon_L141_); trivial.
% 0.99/1.22  apply (zenon_L163_); trivial.
% 0.99/1.22  (* end of lemma zenon_L178_ *)
% 0.99/1.22  assert (zenon_L179_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H111 zenon_H107 zenon_H43 zenon_H145 zenon_H1b9 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_Hb7 zenon_H5b zenon_H1 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H13a zenon_H4b.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 0.99/1.22  apply (zenon_L141_); trivial.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.22  apply (zenon_L48_); trivial.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 0.99/1.22  apply (zenon_L175_); trivial.
% 0.99/1.22  apply (zenon_L177_); trivial.
% 0.99/1.22  apply (zenon_L178_); trivial.
% 0.99/1.22  apply (zenon_L86_); trivial.
% 0.99/1.22  apply (zenon_L150_); trivial.
% 0.99/1.22  (* end of lemma zenon_L179_ *)
% 0.99/1.22  assert (zenon_L180_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H162 zenon_H111 zenon_H158 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1db zenon_Hb7 zenon_H5b zenon_H1 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_H1cb zenon_H12a zenon_Hca.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.22  apply (zenon_L153_); trivial.
% 0.99/1.22  apply (zenon_L173_); trivial.
% 0.99/1.22  (* end of lemma zenon_L180_ *)
% 0.99/1.22  assert (zenon_L181_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H165 zenon_H158 zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H1db zenon_H4b zenon_H13a zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_H5b zenon_Hb7 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H1b9 zenon_H43 zenon_H107 zenon_H111 zenon_H1c6 zenon_H1ca.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.22  apply (zenon_L179_); trivial.
% 0.99/1.22  apply (zenon_L180_); trivial.
% 0.99/1.22  (* end of lemma zenon_L181_ *)
% 0.99/1.22  assert (zenon_L182_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1cd zenon_H1c6 zenon_H1cb zenon_H1e0 zenon_H165 zenon_H1db zenon_H154 zenon_H158 zenon_H4b zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_Hd9 zenon_H33 zenon_H37 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H59 zenon_H18d zenon_H1 zenon_H5b zenon_Hb7 zenon_Hc zenon_Hd zenon_He zenon_H1b9 zenon_H13f zenon_H141 zenon_H111 zenon_H1d9 zenon_H1ca zenon_H4e.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.22  apply (zenon_L127_); trivial.
% 0.99/1.22  apply (zenon_L164_); trivial.
% 0.99/1.22  apply (zenon_L167_); trivial.
% 0.99/1.22  apply (zenon_L168_); trivial.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.22  apply (zenon_L127_); trivial.
% 0.99/1.22  apply (zenon_L173_); trivial.
% 0.99/1.22  apply (zenon_L86_); trivial.
% 0.99/1.22  apply (zenon_L87_); trivial.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.22  apply (zenon_L181_); trivial.
% 0.99/1.22  apply (zenon_L87_); trivial.
% 0.99/1.22  (* end of lemma zenon_L182_ *)
% 0.99/1.22  assert (zenon_L183_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H162 zenon_H4b zenon_H141 zenon_H13f zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hef zenon_H107 zenon_H43 zenon_H105 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H158 zenon_H111.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.22  apply (zenon_L57_); trivial.
% 0.99/1.22  apply (zenon_L173_); trivial.
% 0.99/1.22  apply (zenon_L86_); trivial.
% 0.99/1.22  (* end of lemma zenon_L183_ *)
% 0.99/1.22  assert (zenon_L184_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H4e zenon_H33 zenon_H37 zenon_H1ca zenon_H1d9 zenon_H111 zenon_H13a zenon_H141 zenon_H13f zenon_H1b9 zenon_He zenon_Hd zenon_Hc zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H107 zenon_H43 zenon_H105 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H189 zenon_H187 zenon_H4b zenon_H158 zenon_H154 zenon_H1db zenon_H165.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.22  apply (zenon_L57_); trivial.
% 0.99/1.22  apply (zenon_L164_); trivial.
% 0.99/1.22  apply (zenon_L167_); trivial.
% 0.99/1.22  apply (zenon_L168_); trivial.
% 0.99/1.22  apply (zenon_L183_); trivial.
% 0.99/1.22  apply (zenon_L87_); trivial.
% 0.99/1.22  (* end of lemma zenon_L184_ *)
% 0.99/1.22  assert (zenon_L185_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1ce zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H5e zenon_H5b zenon_H59 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_Hca zenon_H111.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.22  apply (zenon_L157_); trivial.
% 0.99/1.22  apply (zenon_L155_); trivial.
% 0.99/1.22  apply (zenon_L86_); trivial.
% 0.99/1.22  (* end of lemma zenon_L185_ *)
% 0.99/1.22  assert (zenon_L186_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H72 zenon_Ha zenon_H65 zenon_H184 zenon_H64 zenon_H66.
% 0.99/1.22  generalize (zenon_H72 (a2417)). zenon_intro zenon_H1e2.
% 0.99/1.22  apply (zenon_imply_s _ _ zenon_H1e2); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e3 ].
% 0.99/1.22  exact (zenon_H9 zenon_Ha).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H6c | zenon_intro zenon_H1e4 ].
% 0.99/1.22  exact (zenon_H65 zenon_H6c).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hae | zenon_intro zenon_H6b ].
% 0.99/1.22  generalize (zenon_H184 (a2417)). zenon_intro zenon_H1e5.
% 0.99/1.22  apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e6 ].
% 0.99/1.22  exact (zenon_H9 zenon_Ha).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H6a | zenon_intro zenon_Ha9 ].
% 0.99/1.22  exact (zenon_H64 zenon_H6a).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H6b ].
% 0.99/1.22  exact (zenon_Haa zenon_Hae).
% 0.99/1.22  exact (zenon_H6b zenon_H66).
% 0.99/1.22  exact (zenon_H6b zenon_H66).
% 0.99/1.22  (* end of lemma zenon_L186_ *)
% 0.99/1.22  assert (zenon_L187_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H189 zenon_H187 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_Ha6 zenon_H43 zenon_H107.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H184 | zenon_intro zenon_H188 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 0.99/1.22  apply (zenon_L186_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 0.99/1.22  apply (zenon_L42_); trivial.
% 0.99/1.22  exact (zenon_H43 zenon_H44).
% 0.99/1.22  exact (zenon_H187 zenon_H188).
% 0.99/1.22  (* end of lemma zenon_L187_ *)
% 0.99/1.22  assert (zenon_L188_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H109 zenon_H139 zenon_H107 zenon_H66 zenon_H64 zenon_H65 zenon_H187 zenon_H189 zenon_Hba zenon_Hbb zenon_Hbc zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H43.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ].
% 0.99/1.22  apply (zenon_L187_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 0.99/1.22  apply (zenon_L159_); trivial.
% 0.99/1.22  exact (zenon_H43 zenon_H44).
% 0.99/1.22  (* end of lemma zenon_L188_ *)
% 0.99/1.22  assert (zenon_L189_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H139 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H107 zenon_H43 zenon_H187 zenon_H189 zenon_Hef zenon_Hb1 zenon_He2 zenon_He1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 0.99/1.22  apply (zenon_L62_); trivial.
% 0.99/1.22  apply (zenon_L188_); trivial.
% 0.99/1.22  (* end of lemma zenon_L189_ *)
% 0.99/1.22  assert (zenon_L190_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H43 zenon_H107 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H139 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H145 zenon_H1b9 zenon_H4b.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.22  apply (zenon_L127_); trivial.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.22  apply (zenon_L79_); trivial.
% 0.99/1.22  apply (zenon_L189_); trivial.
% 0.99/1.22  apply (zenon_L126_); trivial.
% 0.99/1.22  apply (zenon_L167_); trivial.
% 0.99/1.22  apply (zenon_L168_); trivial.
% 0.99/1.22  (* end of lemma zenon_L190_ *)
% 0.99/1.22  assert (zenon_L191_ : (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1e7 zenon_Ha zenon_H190 zenon_H1e8 zenon_H191.
% 0.99/1.22  generalize (zenon_H1e7 (a2410)). zenon_intro zenon_H1e9.
% 0.99/1.22  apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ea ].
% 0.99/1.22  exact (zenon_H9 zenon_Ha).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H196 | zenon_intro zenon_H1eb ].
% 0.99/1.22  exact (zenon_H190 zenon_H196).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1ec | zenon_intro zenon_H198 ].
% 0.99/1.22  exact (zenon_H1ec zenon_H1e8).
% 0.99/1.22  exact (zenon_H198 zenon_H191).
% 0.99/1.22  (* end of lemma zenon_L191_ *)
% 0.99/1.22  assert (zenon_L192_ : ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp25)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H35 zenon_H1ee.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ].
% 0.99/1.22  apply (zenon_L191_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H36 | zenon_intro zenon_H1f0 ].
% 0.99/1.22  exact (zenon_H35 zenon_H36).
% 0.99/1.22  exact (zenon_H1ee zenon_H1f0).
% 0.99/1.22  (* end of lemma zenon_L192_ *)
% 0.99/1.22  assert (zenon_L193_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a2478))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a2478)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H4f zenon_Ha zenon_H1f1 zenon_Hb zenon_H1f2.
% 0.99/1.22  generalize (zenon_H4f (a2478)). zenon_intro zenon_H1f3.
% 0.99/1.22  apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f4 ].
% 0.99/1.22  exact (zenon_H9 zenon_Ha).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5 ].
% 0.99/1.22  exact (zenon_H1f1 zenon_H1f6).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ].
% 0.99/1.22  generalize (zenon_Hb (a2478)). zenon_intro zenon_H1f9.
% 0.99/1.22  apply (zenon_imply_s _ _ zenon_H1f9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fa ].
% 0.99/1.22  exact (zenon_H9 zenon_Ha).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1fb ].
% 0.99/1.22  exact (zenon_H1f1 zenon_H1f6).
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1f7 ].
% 0.99/1.22  exact (zenon_H1f8 zenon_H1fc).
% 0.99/1.22  exact (zenon_H1f7 zenon_H1f2).
% 0.99/1.22  exact (zenon_H1f7 zenon_H1f2).
% 0.99/1.22  (* end of lemma zenon_L193_ *)
% 0.99/1.22  assert (zenon_L194_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a2478))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(hskp19)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H8d zenon_H1f2 zenon_Hb zenon_H1f1 zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_H35.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 0.99/1.22  apply (zenon_L193_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 0.99/1.22  apply (zenon_L33_); trivial.
% 0.99/1.22  exact (zenon_H35 zenon_H36).
% 0.99/1.22  (* end of lemma zenon_L194_ *)
% 0.99/1.22  assert (zenon_L195_ : ((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1fd zenon_H154 zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H187 zenon_H189 zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H14a zenon_H14b zenon_H14c.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 0.99/1.22  apply (zenon_L187_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 0.99/1.22  apply (zenon_L194_); trivial.
% 0.99/1.22  apply (zenon_L95_); trivial.
% 0.99/1.22  (* end of lemma zenon_L195_ *)
% 0.99/1.22  assert (zenon_L196_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H153 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H187 zenon_H189 zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 0.99/1.22  apply (zenon_L192_); trivial.
% 0.99/1.22  apply (zenon_L195_); trivial.
% 0.99/1.22  (* end of lemma zenon_L196_ *)
% 0.99/1.22  assert (zenon_L197_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (ndr1_0) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H187 zenon_H189 zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 0.99/1.22  apply (zenon_L169_); trivial.
% 0.99/1.22  apply (zenon_L196_); trivial.
% 0.99/1.22  (* end of lemma zenon_L197_ *)
% 0.99/1.22  assert (zenon_L198_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H162 zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H1db zenon_H5b zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H189 zenon_H187 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H201 zenon_H158.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_L197_); trivial.
% 0.99/1.22  apply (zenon_L86_); trivial.
% 0.99/1.22  (* end of lemma zenon_L198_ *)
% 0.99/1.22  assert (zenon_L199_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H165 zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H1db zenon_H5b zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H8d zenon_H154 zenon_H201 zenon_H158 zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_Hd9 zenon_H33 zenon_H37 zenon_Hca zenon_H10e zenon_H139 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H107 zenon_H43 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.22  apply (zenon_L190_); trivial.
% 0.99/1.22  apply (zenon_L198_); trivial.
% 0.99/1.22  (* end of lemma zenon_L199_ *)
% 0.99/1.22  assert (zenon_L200_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2417))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (c0_1 (a2450)) -> (c1_1 (a2450)) -> (c3_1 (a2450)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1cb zenon_H66 zenon_H64 zenon_Ha6 zenon_H65 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H11a zenon_H11b zenon_H11c.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 0.99/1.22  apply (zenon_L42_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 0.99/1.22  apply (zenon_L13_); trivial.
% 0.99/1.22  apply (zenon_L76_); trivial.
% 0.99/1.22  (* end of lemma zenon_L200_ *)
% 0.99/1.22  assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H125 zenon_Hb3 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H66 zenon_H65 zenon_H64 zenon_Hb1.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb4 ].
% 0.99/1.22  apply (zenon_L200_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb2 ].
% 0.99/1.22  apply (zenon_L27_); trivial.
% 0.99/1.22  exact (zenon_Hb1 zenon_Hb2).
% 0.99/1.22  (* end of lemma zenon_L201_ *)
% 0.99/1.22  assert (zenon_L202_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_Hb5 zenon_H35 zenon_H117.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 0.99/1.22  apply (zenon_L75_); trivial.
% 0.99/1.22  apply (zenon_L201_); trivial.
% 0.99/1.22  (* end of lemma zenon_L202_ *)
% 0.99/1.22  assert (zenon_L203_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_Hc5 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 0.99/1.22  apply (zenon_L140_); trivial.
% 0.99/1.22  apply (zenon_L201_); trivial.
% 0.99/1.22  (* end of lemma zenon_L203_ *)
% 0.99/1.22  assert (zenon_L204_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.22  apply (zenon_L202_); trivial.
% 0.99/1.22  apply (zenon_L203_); trivial.
% 0.99/1.22  (* end of lemma zenon_L204_ *)
% 0.99/1.22  assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H4a zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_L204_); trivial.
% 0.99/1.22  apply (zenon_L86_); trivial.
% 0.99/1.22  (* end of lemma zenon_L205_ *)
% 0.99/1.22  assert (zenon_L206_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1ce zenon_H4e zenon_Hb3 zenon_H65 zenon_H64 zenon_H66 zenon_H1ca zenon_H1c6 zenon_H111 zenon_H107 zenon_H43 zenon_H1b9 zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_Hb7 zenon_H5b zenon_H1 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H13a zenon_H4b zenon_H1db zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H158 zenon_H165.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.22  apply (zenon_L181_); trivial.
% 0.99/1.22  apply (zenon_L205_); trivial.
% 0.99/1.22  (* end of lemma zenon_L206_ *)
% 0.99/1.22  assert (zenon_L207_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H1c6 zenon_H19d zenon_Hb7 zenon_H1 zenon_H1cb zenon_H1e0 zenon_H27 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H43 zenon_H107 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H139 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H1b9 zenon_H4b zenon_H158 zenon_H201 zenon_H154 zenon_H8d zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H5b zenon_H1db zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H165.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 0.99/1.22  apply (zenon_L199_); trivial.
% 0.99/1.22  apply (zenon_L206_); trivial.
% 0.99/1.22  (* end of lemma zenon_L207_ *)
% 0.99/1.22  assert (zenon_L208_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H165 zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H1db zenon_H5b zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H154 zenon_H201 zenon_H158 zenon_H4b zenon_H1b9 zenon_H187 zenon_H189 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H105 zenon_H43 zenon_H107 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H111 zenon_H1d9 zenon_H1ca.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_L71_); trivial.
% 0.99/1.22  apply (zenon_L167_); trivial.
% 0.99/1.22  apply (zenon_L168_); trivial.
% 0.99/1.22  apply (zenon_L198_); trivial.
% 0.99/1.22  (* end of lemma zenon_L208_ *)
% 0.99/1.22  assert (zenon_L209_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H4e zenon_H33 zenon_H37 zenon_H1ca zenon_H1d9 zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H189 zenon_H187 zenon_H1b9 zenon_H4b zenon_H158 zenon_H201 zenon_H154 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H5b zenon_H1db zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H165.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.22  apply (zenon_L208_); trivial.
% 0.99/1.22  apply (zenon_L87_); trivial.
% 0.99/1.22  (* end of lemma zenon_L209_ *)
% 0.99/1.22  assert (zenon_L210_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_L71_); trivial.
% 0.99/1.22  apply (zenon_L86_); trivial.
% 0.99/1.22  apply (zenon_L205_); trivial.
% 0.99/1.22  (* end of lemma zenon_L210_ *)
% 0.99/1.22  assert (zenon_L211_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H109 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_Hba zenon_Hbb zenon_Hbc zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H43.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 0.99/1.22  apply (zenon_L29_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 0.99/1.22  apply (zenon_L159_); trivial.
% 0.99/1.22  exact (zenon_H43 zenon_H44).
% 0.99/1.22  (* end of lemma zenon_L211_ *)
% 0.99/1.22  assert (zenon_L212_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_Hca zenon_H10e zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H75 zenon_H74 zenon_H73 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H123 zenon_H19f zenon_H117 zenon_H35 zenon_He1 zenon_He2 zenon_Hf1 zenon_H59 zenon_H18d zenon_H12a.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.22  apply (zenon_L130_); trivial.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 0.99/1.22  apply (zenon_L135_); trivial.
% 0.99/1.22  apply (zenon_L211_); trivial.
% 0.99/1.22  (* end of lemma zenon_L212_ *)
% 0.99/1.22  assert (zenon_L213_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H10d zenon_H13a zenon_H141 zenon_H13f zenon_H145 zenon_H1b7 zenon_H1b9 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H18d zenon_H59 zenon_H35 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H73 zenon_H74 zenon_H75 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_H10e zenon_Hca.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 0.99/1.22  apply (zenon_L212_); trivial.
% 0.99/1.22  apply (zenon_L163_); trivial.
% 0.99/1.22  (* end of lemma zenon_L213_ *)
% 0.99/1.22  assert (zenon_L214_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp1)) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H162 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H43.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 0.99/1.22  apply (zenon_L29_); trivial.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 0.99/1.22  apply (zenon_L99_); trivial.
% 0.99/1.22  exact (zenon_H43 zenon_H44).
% 0.99/1.22  (* end of lemma zenon_L214_ *)
% 0.99/1.22  assert (zenon_L215_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_Hc zenon_Hd zenon_He zenon_H33 zenon_H1a3 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 0.99/1.22  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.22  apply (zenon_L151_); trivial.
% 0.99/1.22  apply (zenon_L214_); trivial.
% 0.99/1.22  (* end of lemma zenon_L215_ *)
% 0.99/1.22  assert (zenon_L216_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1cd zenon_H1ae zenon_H1a3 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H141 zenon_H13f zenon_H1b9 zenon_He zenon_Hd zenon_Hc zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H73 zenon_H74 zenon_H75 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H4b zenon_H165.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.22  apply (zenon_L127_); trivial.
% 0.99/1.22  apply (zenon_L213_); trivial.
% 0.99/1.22  apply (zenon_L167_); trivial.
% 0.99/1.22  apply (zenon_L168_); trivial.
% 0.99/1.22  apply (zenon_L214_); trivial.
% 0.99/1.22  apply (zenon_L215_); trivial.
% 0.99/1.22  (* end of lemma zenon_L216_ *)
% 0.99/1.22  assert (zenon_L217_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H165 zenon_H4b zenon_H187 zenon_H189 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H10e zenon_H107 zenon_H43 zenon_H105 zenon_H75 zenon_H74 zenon_H73 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hc zenon_Hd zenon_He zenon_H1b9 zenon_H13f zenon_H141 zenon_H13a zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.22  apply (zenon_L57_); trivial.
% 0.99/1.22  apply (zenon_L213_); trivial.
% 0.99/1.22  apply (zenon_L167_); trivial.
% 0.99/1.22  apply (zenon_L168_); trivial.
% 0.99/1.22  apply (zenon_L214_); trivial.
% 0.99/1.22  (* end of lemma zenon_L217_ *)
% 0.99/1.22  assert (zenon_L218_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H1ae zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H111.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.22  apply (zenon_L57_); trivial.
% 0.99/1.22  apply (zenon_L155_); trivial.
% 0.99/1.22  apply (zenon_L148_); trivial.
% 0.99/1.22  (* end of lemma zenon_L218_ *)
% 0.99/1.22  assert (zenon_L219_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1ae zenon_H145 zenon_H1b9 zenon_H4b.
% 0.99/1.22  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 0.99/1.22  apply (zenon_L218_); trivial.
% 0.99/1.22  apply (zenon_L168_); trivial.
% 0.99/1.22  (* end of lemma zenon_L219_ *)
% 0.99/1.22  assert (zenon_L220_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 0.99/1.22  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H1ae zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.23  apply (zenon_L219_); trivial.
% 0.99/1.23  apply (zenon_L214_); trivial.
% 0.99/1.23  (* end of lemma zenon_L220_ *)
% 0.99/1.23  assert (zenon_L221_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H75 zenon_H74 zenon_H73 zenon_H147 zenon_H139 zenon_H13a zenon_H4b.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 0.99/1.23  apply (zenon_L141_); trivial.
% 0.99/1.23  apply (zenon_L94_); trivial.
% 0.99/1.23  apply (zenon_L96_); trivial.
% 0.99/1.23  apply (zenon_L98_); trivial.
% 0.99/1.23  apply (zenon_L100_); trivial.
% 0.99/1.23  (* end of lemma zenon_L221_ *)
% 0.99/1.23  assert (zenon_L222_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H5d zenon_H165 zenon_H139 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H147 zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H75 zenon_H74 zenon_H73 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H4b.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 0.99/1.23  apply (zenon_L34_); trivial.
% 0.99/1.23  apply (zenon_L98_); trivial.
% 0.99/1.23  apply (zenon_L100_); trivial.
% 0.99/1.23  (* end of lemma zenon_L222_ *)
% 0.99/1.23  assert (zenon_L223_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H19d zenon_H147 zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hb3 zenon_Hb1 zenon_Hef zenon_H43 zenon_H107 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H139 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H1b9 zenon_H4b zenon_H75 zenon_H74 zenon_H73 zenon_H165 zenon_H16f zenon_H8d zenon_H13e.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.23  apply (zenon_L190_); trivial.
% 0.99/1.23  apply (zenon_L100_); trivial.
% 0.99/1.23  apply (zenon_L221_); trivial.
% 0.99/1.23  apply (zenon_L109_); trivial.
% 0.99/1.23  apply (zenon_L222_); trivial.
% 0.99/1.23  (* end of lemma zenon_L223_ *)
% 0.99/1.23  assert (zenon_L224_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H175 zenon_H95 zenon_H141 zenon_H13f zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_Haf zenon_Hb1 zenon_Hb3 zenon_H97 zenon_H8d zenon_H98.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 0.99/1.23  apply (zenon_L26_); trivial.
% 0.99/1.23  apply (zenon_L45_); trivial.
% 0.99/1.23  apply (zenon_L32_); trivial.
% 0.99/1.23  apply (zenon_L36_); trivial.
% 0.99/1.23  apply (zenon_L117_); trivial.
% 0.99/1.23  (* end of lemma zenon_L224_ *)
% 0.99/1.23  assert (zenon_L225_ : (~(hskp2)) -> (hskp2) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H202 zenon_H203.
% 0.99/1.23  exact (zenon_H202 zenon_H203).
% 0.99/1.23  (* end of lemma zenon_L225_ *)
% 0.99/1.23  assert (zenon_L226_ : ((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp2))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp2)) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H204 zenon_H205 zenon_H191 zenon_H1e8 zenon_H190 zenon_H202.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H99 | zenon_intro zenon_H208 ].
% 0.99/1.23  apply (zenon_L39_); trivial.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H203 ].
% 0.99/1.23  apply (zenon_L191_); trivial.
% 0.99/1.23  exact (zenon_H202 zenon_H203).
% 0.99/1.23  (* end of lemma zenon_L226_ *)
% 0.99/1.23  assert (zenon_L227_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> (~(hskp8)) -> (~(hskp7)) -> ((hskp8)\/((hskp9)\/(hskp7))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H95 zenon_H17 zenon_H15 zenon_H1 zenon_H5 zenon_H7.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 0.99/1.23  apply (zenon_L4_); trivial.
% 0.99/1.23  apply (zenon_L37_); trivial.
% 0.99/1.23  (* end of lemma zenon_L227_ *)
% 0.99/1.23  assert (zenon_L228_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp18)) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H145 zenon_H1b7.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ].
% 0.99/1.23  apply (zenon_L9_); trivial.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ].
% 0.99/1.23  exact (zenon_H145 zenon_H146).
% 0.99/1.23  exact (zenon_H1b7 zenon_H1b8).
% 0.99/1.23  (* end of lemma zenon_L228_ *)
% 0.99/1.23  assert (zenon_L229_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H145 zenon_H1b9.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 0.99/1.23  apply (zenon_L228_); trivial.
% 0.99/1.23  apply (zenon_L168_); trivial.
% 0.99/1.23  (* end of lemma zenon_L229_ *)
% 0.99/1.23  assert (zenon_L230_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (c0_1 (a2408)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H119 zenon_Ha zenon_H209 zenon_H72 zenon_H20a zenon_H20b.
% 0.99/1.23  generalize (zenon_H119 (a2408)). zenon_intro zenon_H20c.
% 0.99/1.23  apply (zenon_imply_s _ _ zenon_H20c); [ zenon_intro zenon_H9 | zenon_intro zenon_H20d ].
% 0.99/1.23  exact (zenon_H9 zenon_Ha).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ].
% 0.99/1.23  exact (zenon_H20f zenon_H209).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H211 | zenon_intro zenon_H210 ].
% 0.99/1.23  generalize (zenon_H72 (a2408)). zenon_intro zenon_H212.
% 0.99/1.23  apply (zenon_imply_s _ _ zenon_H212); [ zenon_intro zenon_H9 | zenon_intro zenon_H213 ].
% 0.99/1.23  exact (zenon_H9 zenon_Ha).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H215 | zenon_intro zenon_H214 ].
% 0.99/1.23  exact (zenon_H211 zenon_H215).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H216 | zenon_intro zenon_H210 ].
% 0.99/1.23  exact (zenon_H20a zenon_H216).
% 0.99/1.23  exact (zenon_H210 zenon_H20b).
% 0.99/1.23  exact (zenon_H210 zenon_H20b).
% 0.99/1.23  (* end of lemma zenon_L230_ *)
% 0.99/1.23  assert (zenon_L231_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (c0_1 (a2408)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H1cb zenon_H15b zenon_H15a zenon_H159 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H209 zenon_H72 zenon_H20a zenon_H20b.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 0.99/1.23  apply (zenon_L99_); trivial.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 0.99/1.23  apply (zenon_L13_); trivial.
% 0.99/1.23  apply (zenon_L230_); trivial.
% 0.99/1.23  (* end of lemma zenon_L231_ *)
% 0.99/1.23  assert (zenon_L232_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp1)) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H162 zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H43.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 0.99/1.23  apply (zenon_L231_); trivial.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 0.99/1.23  apply (zenon_L99_); trivial.
% 0.99/1.23  exact (zenon_H43 zenon_H44).
% 0.99/1.23  (* end of lemma zenon_L232_ *)
% 0.99/1.23  assert (zenon_L233_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.23  apply (zenon_L12_); trivial.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.23  apply (zenon_L229_); trivial.
% 0.99/1.23  apply (zenon_L232_); trivial.
% 0.99/1.23  (* end of lemma zenon_L233_ *)
% 0.99/1.23  assert (zenon_L234_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H62 zenon_H5e zenon_H5b zenon_H59 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 0.99/1.23  apply (zenon_L233_); trivial.
% 0.99/1.23  apply (zenon_L25_); trivial.
% 0.99/1.23  (* end of lemma zenon_L234_ *)
% 0.99/1.23  assert (zenon_L235_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H97 zenon_H6e zenon_H15 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5b zenon_H5e zenon_H62.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 0.99/1.23  apply (zenon_L234_); trivial.
% 0.99/1.23  apply (zenon_L28_); trivial.
% 0.99/1.23  (* end of lemma zenon_L235_ *)
% 0.99/1.23  assert (zenon_L236_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.23  apply (zenon_L229_); trivial.
% 0.99/1.23  apply (zenon_L214_); trivial.
% 0.99/1.23  (* end of lemma zenon_L236_ *)
% 0.99/1.23  assert (zenon_L237_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_Hc3 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H145 zenon_H1b9.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 0.99/1.23  apply (zenon_L228_); trivial.
% 0.99/1.23  apply (zenon_L150_); trivial.
% 0.99/1.23  (* end of lemma zenon_L237_ *)
% 0.99/1.23  assert (zenon_L238_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_Hc3 zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 0.99/1.23  apply (zenon_L31_); trivial.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.23  apply (zenon_L237_); trivial.
% 0.99/1.23  apply (zenon_L232_); trivial.
% 0.99/1.23  (* end of lemma zenon_L238_ *)
% 0.99/1.23  assert (zenon_L239_ : ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp23)) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H217 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H15 zenon_H123.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ].
% 0.99/1.23  generalize (zenon_H219 (a2420)). zenon_intro zenon_H21a.
% 0.99/1.23  apply (zenon_imply_s _ _ zenon_H21a); [ zenon_intro zenon_H9 | zenon_intro zenon_H21b ].
% 0.99/1.23  exact (zenon_H9 zenon_Ha).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_He0 | zenon_intro zenon_Hd0 ].
% 0.99/1.23  exact (zenon_Hda zenon_He0).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ].
% 0.99/1.23  exact (zenon_Hd3 zenon_Hcc).
% 0.99/1.23  exact (zenon_Hd2 zenon_Hcd).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H16 | zenon_intro zenon_H124 ].
% 0.99/1.23  exact (zenon_H15 zenon_H16).
% 0.99/1.23  exact (zenon_H123 zenon_H124).
% 0.99/1.23  (* end of lemma zenon_L239_ *)
% 0.99/1.23  assert (zenon_L240_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_H15 zenon_H217.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 0.99/1.23  apply (zenon_L239_); trivial.
% 0.99/1.23  apply (zenon_L126_); trivial.
% 0.99/1.23  (* end of lemma zenon_L240_ *)
% 0.99/1.23  assert (zenon_L241_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H1c5 zenon_H21c zenon_H52 zenon_H51 zenon_H50 zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 0.99/1.23  apply (zenon_L149_); trivial.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 0.99/1.23  apply (zenon_L22_); trivial.
% 0.99/1.23  apply (zenon_L139_); trivial.
% 0.99/1.23  (* end of lemma zenon_L241_ *)
% 0.99/1.23  assert (zenon_L242_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H1ca zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H52 zenon_H51 zenon_H50 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H145 zenon_H1b9.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 0.99/1.23  apply (zenon_L228_); trivial.
% 0.99/1.23  apply (zenon_L241_); trivial.
% 0.99/1.23  (* end of lemma zenon_L242_ *)
% 0.99/1.23  assert (zenon_L243_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H50 zenon_H51 zenon_H52 zenon_H21c zenon_H1ca.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 0.99/1.23  apply (zenon_L242_); trivial.
% 0.99/1.23  apply (zenon_L214_); trivial.
% 0.99/1.23  (* end of lemma zenon_L243_ *)
% 0.99/1.23  assert (zenon_L244_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H50 zenon_H51 zenon_H52 zenon_H21c zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 0.99/1.23  apply (zenon_L240_); trivial.
% 0.99/1.23  apply (zenon_L243_); trivial.
% 0.99/1.23  (* end of lemma zenon_L244_ *)
% 0.99/1.23  assert (zenon_L245_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H5d zenon_H13e zenon_H1cd zenon_H21c zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H1a zenon_H1b zenon_H1c zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 0.99/1.23  apply (zenon_L238_); trivial.
% 0.99/1.23  apply (zenon_L244_); trivial.
% 0.99/1.23  (* end of lemma zenon_L245_ *)
% 0.99/1.23  assert (zenon_L246_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H96 zenon_H13e zenon_H1cd zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H7c zenon_H1c6 zenon_H62 zenon_H5e zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 0.99/1.23  apply (zenon_L235_); trivial.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 0.99/1.23  apply (zenon_L236_); trivial.
% 0.99/1.23  apply (zenon_L245_); trivial.
% 0.99/1.23  (* end of lemma zenon_L246_ *)
% 0.99/1.23  assert (zenon_L247_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H8f zenon_H62 zenon_H4b zenon_H46 zenon_H3 zenon_H8d zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 0.99/1.23  apply (zenon_L233_); trivial.
% 0.99/1.23  apply (zenon_L35_); trivial.
% 0.99/1.23  (* end of lemma zenon_L247_ *)
% 0.99/1.23  assert (zenon_L248_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H98 zenon_H4b zenon_H46 zenon_H3 zenon_H8d zenon_H97 zenon_H6e zenon_H15 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H1c6 zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H1cd zenon_H13e zenon_H96.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 0.99/1.23  apply (zenon_L246_); trivial.
% 0.99/1.23  apply (zenon_L247_); trivial.
% 0.99/1.23  (* end of lemma zenon_L248_ *)
% 0.99/1.23  assert (zenon_L249_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H178 zenon_H96 zenon_H13e zenon_H1cd zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H1c6 zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H6e zenon_H97 zenon_H8d zenon_H46 zenon_H4b zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 0.99/1.23  apply (zenon_L227_); trivial.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 0.99/1.23  apply (zenon_L248_); trivial.
% 0.99/1.23  apply (zenon_L37_); trivial.
% 0.99/1.23  (* end of lemma zenon_L249_ *)
% 0.99/1.23  assert (zenon_L250_ : (forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (ndr1_0) -> (~(c3_1 (a2411))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8))))) -> (~(c1_1 (a2411))) -> (c2_1 (a2411)) -> False).
% 0.99/1.23  do 0 intro. intros zenon_Hdc zenon_Ha zenon_H9b zenon_H21e zenon_H9a zenon_H9c.
% 0.99/1.23  generalize (zenon_Hdc (a2411)). zenon_intro zenon_H21f.
% 0.99/1.23  apply (zenon_imply_s _ _ zenon_H21f); [ zenon_intro zenon_H9 | zenon_intro zenon_H220 ].
% 0.99/1.23  exact (zenon_H9 zenon_Ha).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H221 ].
% 0.99/1.23  exact (zenon_H9b zenon_Ha2).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H222 | zenon_intro zenon_Ha1 ].
% 0.99/1.23  generalize (zenon_H21e (a2411)). zenon_intro zenon_H223.
% 0.99/1.23  apply (zenon_imply_s _ _ zenon_H223); [ zenon_intro zenon_H9 | zenon_intro zenon_H224 ].
% 0.99/1.23  exact (zenon_H9 zenon_Ha).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H226 | zenon_intro zenon_H225 ].
% 0.99/1.23  exact (zenon_H222 zenon_H226).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha2 ].
% 0.99/1.23  exact (zenon_H9a zenon_Ha0).
% 0.99/1.23  exact (zenon_H9b zenon_Ha2).
% 0.99/1.23  exact (zenon_Ha1 zenon_H9c).
% 0.99/1.23  (* end of lemma zenon_L250_ *)
% 0.99/1.23  assert (zenon_L251_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2411)) -> (~(c1_1 (a2411))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8))))) -> (~(c3_1 (a2411))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.99/1.23  do 0 intro. intros zenon_Hd9 zenon_H9c zenon_H9a zenon_H21e zenon_H9b zenon_Hcd zenon_Hcc zenon_H4f zenon_Ha zenon_Hd7.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ].
% 0.99/1.23  apply (zenon_L250_); trivial.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ].
% 0.99/1.23  apply (zenon_L54_); trivial.
% 0.99/1.23  exact (zenon_Hd7 zenon_Hd8).
% 0.99/1.23  (* end of lemma zenon_L251_ *)
% 0.99/1.23  assert (zenon_L252_ : (~(hskp3)) -> (hskp3) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H227 zenon_H228.
% 0.99/1.23  exact (zenon_H227 zenon_H228).
% 0.99/1.23  (* end of lemma zenon_L252_ *)
% 0.99/1.23  assert (zenon_L253_ : (~(hskp28)) -> (hskp28) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H229 zenon_H22a.
% 0.99/1.23  exact (zenon_H229 zenon_H22a).
% 0.99/1.23  (* end of lemma zenon_L253_ *)
% 0.99/1.23  assert (zenon_L254_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> False).
% 0.99/1.23  do 0 intro. intros zenon_Hf9 zenon_Ha zenon_H22b zenon_H22c zenon_H22d.
% 0.99/1.23  generalize (zenon_Hf9 (a2406)). zenon_intro zenon_H22e.
% 0.99/1.23  apply (zenon_imply_s _ _ zenon_H22e); [ zenon_intro zenon_H9 | zenon_intro zenon_H22f ].
% 0.99/1.23  exact (zenon_H9 zenon_Ha).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H231 | zenon_intro zenon_H230 ].
% 0.99/1.23  exact (zenon_H231 zenon_H22b).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ].
% 0.99/1.23  exact (zenon_H233 zenon_H22c).
% 0.99/1.23  exact (zenon_H232 zenon_H22d).
% 0.99/1.23  (* end of lemma zenon_L254_ *)
% 0.99/1.23  assert (zenon_L255_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (~(hskp10)) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H234 zenon_H1a1 zenon_Hbc zenon_Hbb zenon_Hba zenon_H7c.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ].
% 0.99/1.23  apply (zenon_L49_); trivial.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ].
% 0.99/1.23  apply (zenon_L254_); trivial.
% 0.99/1.23  exact (zenon_H7c zenon_H7d).
% 0.99/1.23  (* end of lemma zenon_L255_ *)
% 0.99/1.23  assert (zenon_L256_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp12)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (c2_1 (a2411)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_Hca zenon_H237 zenon_H1a1 zenon_H7c zenon_H5e zenon_H59 zenon_H9b zenon_H9a zenon_H9c zenon_Hcc zenon_Hcd zenon_Hd7 zenon_Hd9 zenon_H227 zenon_H238 zenon_H1 zenon_H5b zenon_Hb7.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 0.99/1.23  apply (zenon_L48_); trivial.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 0.99/1.23  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H21e | zenon_intro zenon_H239 ].
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4f | zenon_intro zenon_H61 ].
% 0.99/1.23  apply (zenon_L251_); trivial.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H5a | zenon_intro zenon_H5c ].
% 0.99/1.23  exact (zenon_H59 zenon_H5a).
% 0.99/1.23  exact (zenon_H5b zenon_H5c).
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H228 | zenon_intro zenon_H22a ].
% 0.99/1.23  exact (zenon_H227 zenon_H228).
% 0.99/1.23  exact (zenon_H229 zenon_H22a).
% 0.99/1.23  apply (zenon_L255_); trivial.
% 0.99/1.23  (* end of lemma zenon_L256_ *)
% 0.99/1.23  assert (zenon_L257_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2411)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 0.99/1.23  do 0 intro. intros zenon_H111 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_H18d zenon_H12a zenon_Hb7 zenon_H5b zenon_H1 zenon_H238 zenon_H227 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H9c zenon_H9a zenon_H9b zenon_H59 zenon_H5e zenon_H7c zenon_H1a1 zenon_H237 zenon_Hca.
% 0.99/1.23  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 0.99/1.23  apply (zenon_L256_); trivial.
% 0.99/1.23  apply (zenon_L155_); trivial.
% 0.99/1.23  (* end of lemma zenon_L257_ *)
% 0.99/1.23  assert (zenon_L258_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H237 zenon_H1a1 zenon_H7c zenon_H5e zenon_Hd9 zenon_H227 zenon_H238 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H62.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.23  apply (zenon_L52_); trivial.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.23  apply (zenon_L240_); trivial.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.23  apply (zenon_L40_); trivial.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.23  apply (zenon_L257_); trivial.
% 1.06/1.23  apply (zenon_L148_); trivial.
% 1.06/1.23  apply (zenon_L168_); trivial.
% 1.06/1.23  apply (zenon_L232_); trivial.
% 1.06/1.23  apply (zenon_L25_); trivial.
% 1.06/1.23  apply (zenon_L28_); trivial.
% 1.06/1.23  (* end of lemma zenon_L258_ *)
% 1.06/1.23  assert (zenon_L259_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.23  apply (zenon_L80_); trivial.
% 1.06/1.23  apply (zenon_L126_); trivial.
% 1.06/1.23  (* end of lemma zenon_L259_ *)
% 1.06/1.23  assert (zenon_L260_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.23  apply (zenon_L259_); trivial.
% 1.06/1.23  apply (zenon_L19_); trivial.
% 1.06/1.23  (* end of lemma zenon_L260_ *)
% 1.06/1.23  assert (zenon_L261_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp9)) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H23a zenon_H12d zenon_H12c zenon_H12b zenon_Ha zenon_H229 zenon_H3.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H184 | zenon_intro zenon_H23b ].
% 1.06/1.23  apply (zenon_L124_); trivial.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H22a | zenon_intro zenon_H4 ].
% 1.06/1.23  exact (zenon_H229 zenon_H22a).
% 1.06/1.23  exact (zenon_H3 zenon_H4).
% 1.06/1.23  (* end of lemma zenon_L261_ *)
% 1.06/1.23  assert (zenon_L262_ : ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> (c1_1 (a2406)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp18)) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H1e0 zenon_H22c zenon_H22d zenon_H22b zenon_H39 zenon_Ha zenon_Hd7 zenon_H1b7.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1e1 ].
% 1.06/1.23  generalize (zenon_H1dd (a2406)). zenon_intro zenon_H23c.
% 1.06/1.23  apply (zenon_imply_s _ _ zenon_H23c); [ zenon_intro zenon_H9 | zenon_intro zenon_H23d ].
% 1.06/1.23  exact (zenon_H9 zenon_Ha).
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H23e | zenon_intro zenon_H230 ].
% 1.06/1.23  generalize (zenon_H39 (a2406)). zenon_intro zenon_H23f.
% 1.06/1.23  apply (zenon_imply_s _ _ zenon_H23f); [ zenon_intro zenon_H9 | zenon_intro zenon_H240 ].
% 1.06/1.23  exact (zenon_H9 zenon_Ha).
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H242 | zenon_intro zenon_H241 ].
% 1.06/1.23  exact (zenon_H23e zenon_H242).
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H231 | zenon_intro zenon_H232 ].
% 1.06/1.23  exact (zenon_H231 zenon_H22b).
% 1.06/1.23  exact (zenon_H232 zenon_H22d).
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ].
% 1.06/1.23  exact (zenon_H233 zenon_H22c).
% 1.06/1.23  exact (zenon_H232 zenon_H22d).
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1b8 ].
% 1.06/1.23  exact (zenon_Hd7 zenon_Hd8).
% 1.06/1.23  exact (zenon_H1b7 zenon_H1b8).
% 1.06/1.23  (* end of lemma zenon_L262_ *)
% 1.06/1.23  assert (zenon_L263_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp20)) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H234 zenon_H1ae zenon_H1b7 zenon_H1e0 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd7.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H39 | zenon_intro zenon_H1af ].
% 1.06/1.23  apply (zenon_L262_); trivial.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H18f | zenon_intro zenon_Hd8 ].
% 1.06/1.23  apply (zenon_L139_); trivial.
% 1.06/1.23  exact (zenon_Hd7 zenon_Hd8).
% 1.06/1.23  (* end of lemma zenon_L263_ *)
% 1.06/1.23  assert (zenon_L264_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H237 zenon_H1ae zenon_H1e0 zenon_H23a zenon_H18d zenon_H1b9 zenon_H111 zenon_H1c6 zenon_H1ca zenon_H59 zenon_Ha3 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H43 zenon_H3 zenon_H46 zenon_H4b.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.23  apply (zenon_L260_); trivial.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.23  apply (zenon_L40_); trivial.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.23  apply (zenon_L80_); trivial.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.06/1.23  apply (zenon_L261_); trivial.
% 1.06/1.23  apply (zenon_L263_); trivial.
% 1.06/1.23  apply (zenon_L147_); trivial.
% 1.06/1.23  apply (zenon_L19_); trivial.
% 1.06/1.23  apply (zenon_L150_); trivial.
% 1.06/1.23  apply (zenon_L232_); trivial.
% 1.06/1.23  (* end of lemma zenon_L264_ *)
% 1.06/1.23  assert (zenon_L265_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> (~(hskp21)) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H13b zenon_H243 zenon_H15 zenon_H143.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H184 | zenon_intro zenon_H244 ].
% 1.06/1.23  apply (zenon_L124_); trivial.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H16 | zenon_intro zenon_H144 ].
% 1.06/1.23  exact (zenon_H15 zenon_H16).
% 1.06/1.23  exact (zenon_H143 zenon_H144).
% 1.06/1.23  (* end of lemma zenon_L265_ *)
% 1.06/1.23  assert (zenon_L266_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp3)) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H153 zenon_H245 zenon_H9c zenon_H9b zenon_H9a zenon_H227.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H99 | zenon_intro zenon_H246 ].
% 1.06/1.23  apply (zenon_L39_); trivial.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H149 | zenon_intro zenon_H228 ].
% 1.06/1.23  apply (zenon_L95_); trivial.
% 1.06/1.23  exact (zenon_H227 zenon_H228).
% 1.06/1.23  (* end of lemma zenon_L266_ *)
% 1.06/1.23  assert (zenon_L267_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H112 zenon_H158 zenon_H245 zenon_H227 zenon_H9c zenon_H9b zenon_H9a zenon_H217 zenon_H15 zenon_H243 zenon_H13a.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.23  apply (zenon_L239_); trivial.
% 1.06/1.23  apply (zenon_L265_); trivial.
% 1.06/1.23  apply (zenon_L266_); trivial.
% 1.06/1.23  (* end of lemma zenon_L267_ *)
% 1.06/1.23  assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H4a zenon_H247 zenon_H43 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ].
% 1.06/1.23  apply (zenon_L81_); trivial.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ].
% 1.06/1.23  apply (zenon_L13_); trivial.
% 1.06/1.23  apply (zenon_L139_); trivial.
% 1.06/1.23  (* end of lemma zenon_L268_ *)
% 1.06/1.23  assert (zenon_L269_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H247 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.23  apply (zenon_L31_); trivial.
% 1.06/1.23  apply (zenon_L268_); trivial.
% 1.06/1.23  (* end of lemma zenon_L269_ *)
% 1.06/1.23  assert (zenon_L270_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H247 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.23  apply (zenon_L240_); trivial.
% 1.06/1.23  apply (zenon_L269_); trivial.
% 1.06/1.23  (* end of lemma zenon_L270_ *)
% 1.06/1.23  assert (zenon_L271_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H6d zenon_H13e zenon_H217 zenon_H15 zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_H107 zenon_H247 zenon_H4e zenon_H1cd.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.23  apply (zenon_L260_); trivial.
% 1.06/1.23  apply (zenon_L269_); trivial.
% 1.06/1.23  apply (zenon_L270_); trivial.
% 1.06/1.23  (* end of lemma zenon_L271_ *)
% 1.06/1.23  assert (zenon_L272_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hcd zenon_Hcc zenon_H4f zenon_Hda zenon_Ha zenon_H22b zenon_H22c zenon_H22d.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.06/1.23  apply (zenon_L33_); trivial.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.06/1.23  apply (zenon_L64_); trivial.
% 1.06/1.23  apply (zenon_L254_); trivial.
% 1.06/1.23  (* end of lemma zenon_L272_ *)
% 1.06/1.23  assert (zenon_L273_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp19)) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H234 zenon_H8d zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H35.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 1.06/1.23  apply (zenon_L272_); trivial.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 1.06/1.23  apply (zenon_L33_); trivial.
% 1.06/1.23  exact (zenon_H35 zenon_H36).
% 1.06/1.23  (* end of lemma zenon_L273_ *)
% 1.06/1.23  assert (zenon_L274_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H13b zenon_H237 zenon_H8d zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H3 zenon_H23a.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.06/1.23  apply (zenon_L261_); trivial.
% 1.06/1.23  apply (zenon_L273_); trivial.
% 1.06/1.23  (* end of lemma zenon_L274_ *)
% 1.06/1.23  assert (zenon_L275_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H112 zenon_H4b zenon_H46 zenon_H43 zenon_H217 zenon_H15 zenon_H23a zenon_H3 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H237 zenon_H13a.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.23  apply (zenon_L239_); trivial.
% 1.06/1.23  apply (zenon_L274_); trivial.
% 1.06/1.23  apply (zenon_L19_); trivial.
% 1.06/1.23  (* end of lemma zenon_L275_ *)
% 1.06/1.23  assert (zenon_L276_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H13e zenon_H4b zenon_H46 zenon_H43 zenon_H217 zenon_H15 zenon_H23a zenon_H3 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H237 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.23  apply (zenon_L52_); trivial.
% 1.06/1.23  apply (zenon_L275_); trivial.
% 1.06/1.23  (* end of lemma zenon_L276_ *)
% 1.06/1.23  assert (zenon_L277_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H6d zenon_H13e zenon_H217 zenon_H15 zenon_H23a zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H237 zenon_H13a zenon_H139 zenon_H3 zenon_H46 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H4b.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.23  apply (zenon_L83_); trivial.
% 1.06/1.23  apply (zenon_L275_); trivial.
% 1.06/1.23  (* end of lemma zenon_L277_ *)
% 1.06/1.23  assert (zenon_L278_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H8f zenon_H96 zenon_H97 zenon_H139 zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1ae zenon_H1e0 zenon_H18d zenon_H1b9 zenon_H111 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H237 zenon_H8d zenon_H105 zenon_H3 zenon_H23a zenon_H15 zenon_H217 zenon_H43 zenon_H46 zenon_H4b zenon_H13e.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.06/1.23  apply (zenon_L276_); trivial.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.23  apply (zenon_L264_); trivial.
% 1.06/1.23  apply (zenon_L275_); trivial.
% 1.06/1.23  apply (zenon_L277_); trivial.
% 1.06/1.23  (* end of lemma zenon_L278_ *)
% 1.06/1.23  assert (zenon_L279_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H98 zenon_H139 zenon_H8d zenon_H105 zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H237 zenon_H1a1 zenon_H5e zenon_Hd9 zenon_H227 zenon_H238 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H62 zenon_H158 zenon_H245 zenon_H243 zenon_H46 zenon_H3 zenon_H126 zenon_H1c6 zenon_H23a zenon_H1e0 zenon_H247 zenon_H7e zenon_H96.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.06/1.23  apply (zenon_L258_); trivial.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.23  apply (zenon_L264_); trivial.
% 1.06/1.23  apply (zenon_L267_); trivial.
% 1.06/1.23  apply (zenon_L271_); trivial.
% 1.06/1.23  apply (zenon_L278_); trivial.
% 1.06/1.23  (* end of lemma zenon_L279_ *)
% 1.06/1.23  assert (zenon_L280_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H145 zenon_H1b9 zenon_H4b.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.23  apply (zenon_L259_); trivial.
% 1.06/1.23  apply (zenon_L167_); trivial.
% 1.06/1.23  apply (zenon_L150_); trivial.
% 1.06/1.23  (* end of lemma zenon_L280_ *)
% 1.06/1.23  assert (zenon_L281_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.23  apply (zenon_L280_); trivial.
% 1.06/1.23  apply (zenon_L214_); trivial.
% 1.06/1.23  (* end of lemma zenon_L281_ *)
% 1.06/1.23  assert (zenon_L282_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp29)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H247 zenon_Hed zenon_H73 zenon_H74 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ].
% 1.06/1.23  apply (zenon_L103_); trivial.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ].
% 1.06/1.23  apply (zenon_L13_); trivial.
% 1.06/1.23  apply (zenon_L139_); trivial.
% 1.06/1.23  (* end of lemma zenon_L282_ *)
% 1.06/1.23  assert (zenon_L283_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H145 zenon_H1ae zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.06/1.23  apply (zenon_L282_); trivial.
% 1.06/1.23  apply (zenon_L177_); trivial.
% 1.06/1.23  apply (zenon_L155_); trivial.
% 1.06/1.23  apply (zenon_L148_); trivial.
% 1.06/1.23  (* end of lemma zenon_L283_ *)
% 1.06/1.23  assert (zenon_L284_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_Hc3 zenon_H43 zenon_H1c6 zenon_H1ca.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.23  apply (zenon_L283_); trivial.
% 1.06/1.23  apply (zenon_L150_); trivial.
% 1.06/1.23  apply (zenon_L232_); trivial.
% 1.06/1.23  (* end of lemma zenon_L284_ *)
% 1.06/1.23  assert (zenon_L285_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H18d zenon_H19d zenon_H111 zenon_H59 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.23  apply (zenon_L281_); trivial.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.23  apply (zenon_L40_); trivial.
% 1.06/1.23  apply (zenon_L284_); trivial.
% 1.06/1.23  (* end of lemma zenon_L285_ *)
% 1.06/1.23  assert (zenon_L286_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H247 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H145 zenon_H1b9 zenon_H4b.
% 1.06/1.23  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.23  apply (zenon_L283_); trivial.
% 1.06/1.23  apply (zenon_L168_); trivial.
% 1.06/1.23  (* end of lemma zenon_L286_ *)
% 1.06/1.23  assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> False).
% 1.06/1.23  do 0 intro. intros zenon_H125 zenon_H1cb zenon_H15b zenon_H15a zenon_H159 zenon_H2c zenon_H2b zenon_H2a.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.06/1.23  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.06/1.24  apply (zenon_L99_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.06/1.24  apply (zenon_L13_); trivial.
% 1.06/1.24  apply (zenon_L76_); trivial.
% 1.06/1.24  (* end of lemma zenon_L287_ *)
% 1.06/1.24  assert (zenon_L288_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H15b zenon_H15a zenon_H159 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.06/1.24  apply (zenon_L140_); trivial.
% 1.06/1.24  apply (zenon_L287_); trivial.
% 1.06/1.24  (* end of lemma zenon_L288_ *)
% 1.06/1.24  assert (zenon_L289_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_H159 zenon_H15a zenon_H15b zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H12a.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.06/1.24  apply (zenon_L75_); trivial.
% 1.06/1.24  apply (zenon_L287_); trivial.
% 1.06/1.24  apply (zenon_L288_); trivial.
% 1.06/1.24  (* end of lemma zenon_L289_ *)
% 1.06/1.24  assert (zenon_L290_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (ndr1_0) -> (~(hskp1)) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H119 zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H43.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 1.06/1.24  apply (zenon_L230_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.06/1.24  apply (zenon_L99_); trivial.
% 1.06/1.24  exact (zenon_H43 zenon_H44).
% 1.06/1.24  (* end of lemma zenon_L290_ *)
% 1.06/1.24  assert (zenon_L291_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp1)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp12)) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H10d zenon_H18d zenon_H43 zenon_H159 zenon_H15a zenon_H15b zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H59.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ].
% 1.06/1.24  apply (zenon_L128_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ].
% 1.06/1.24  apply (zenon_L290_); trivial.
% 1.06/1.24  exact (zenon_H59 zenon_H5a).
% 1.06/1.24  (* end of lemma zenon_L291_ *)
% 1.06/1.24  assert (zenon_L292_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H45 zenon_H111 zenon_H18d zenon_H59 zenon_H209 zenon_H20a zenon_H20b zenon_H159 zenon_H15a zenon_H15b zenon_H43 zenon_H107 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.24  apply (zenon_L143_); trivial.
% 1.06/1.24  apply (zenon_L291_); trivial.
% 1.06/1.24  (* end of lemma zenon_L292_ *)
% 1.06/1.24  assert (zenon_L293_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H162 zenon_H4b zenon_H111 zenon_H18d zenon_H59 zenon_H209 zenon_H20a zenon_H20b zenon_H43 zenon_H107 zenon_H1ae zenon_H12a zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.24  apply (zenon_L289_); trivial.
% 1.06/1.24  apply (zenon_L292_); trivial.
% 1.06/1.24  (* end of lemma zenon_L293_ *)
% 1.06/1.24  assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H4a zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.24  apply (zenon_L286_); trivial.
% 1.06/1.24  apply (zenon_L293_); trivial.
% 1.06/1.24  (* end of lemma zenon_L294_ *)
% 1.06/1.24  assert (zenon_L295_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H13e zenon_H25 zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H19d zenon_H18d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.24  apply (zenon_L285_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.24  apply (zenon_L240_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.24  apply (zenon_L40_); trivial.
% 1.06/1.24  apply (zenon_L294_); trivial.
% 1.06/1.24  (* end of lemma zenon_L295_ *)
% 1.06/1.24  assert (zenon_L296_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H1ca zenon_H21c zenon_H52 zenon_H51 zenon_H50 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H247 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H145 zenon_H1b9 zenon_H4b.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.24  apply (zenon_L283_); trivial.
% 1.06/1.24  apply (zenon_L241_); trivial.
% 1.06/1.24  (* end of lemma zenon_L296_ *)
% 1.06/1.24  assert (zenon_L297_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H107 zenon_H43 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H50 zenon_H51 zenon_H52 zenon_H21c zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.24  apply (zenon_L31_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.24  apply (zenon_L296_); trivial.
% 1.06/1.24  apply (zenon_L232_); trivial.
% 1.06/1.24  (* end of lemma zenon_L297_ *)
% 1.06/1.24  assert (zenon_L298_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H6d zenon_H13e zenon_H15 zenon_H217 zenon_H4b zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H165.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.24  apply (zenon_L101_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.24  apply (zenon_L239_); trivial.
% 1.06/1.24  apply (zenon_L94_); trivial.
% 1.06/1.24  apply (zenon_L96_); trivial.
% 1.06/1.24  apply (zenon_L100_); trivial.
% 1.06/1.24  (* end of lemma zenon_L298_ *)
% 1.06/1.24  assert (zenon_L299_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H96 zenon_H139 zenon_H147 zenon_H154 zenon_H158 zenon_H126 zenon_H1c6 zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H7e zenon_H21c zenon_H62 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_H238 zenon_H227 zenon_Hd9 zenon_H5e zenon_H7c zenon_H1a1 zenon_H237 zenon_H1ae zenon_H1b9 zenon_H4b zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H6e zenon_H97.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.06/1.24  apply (zenon_L258_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.06/1.24  apply (zenon_L295_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.24  apply (zenon_L285_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.24  apply (zenon_L240_); trivial.
% 1.06/1.24  apply (zenon_L297_); trivial.
% 1.06/1.24  apply (zenon_L298_); trivial.
% 1.06/1.24  (* end of lemma zenon_L299_ *)
% 1.06/1.24  assert (zenon_L300_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.24  apply (zenon_L219_); trivial.
% 1.06/1.24  apply (zenon_L232_); trivial.
% 1.06/1.24  (* end of lemma zenon_L300_ *)
% 1.06/1.24  assert (zenon_L301_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hd9 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.24  apply (zenon_L52_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.24  apply (zenon_L240_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.24  apply (zenon_L40_); trivial.
% 1.06/1.24  apply (zenon_L300_); trivial.
% 1.06/1.24  apply (zenon_L25_); trivial.
% 1.06/1.24  apply (zenon_L28_); trivial.
% 1.06/1.24  (* end of lemma zenon_L301_ *)
% 1.06/1.24  assert (zenon_L302_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H1ae zenon_H50 zenon_H51 zenon_H52 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H21c zenon_H1ca.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.24  apply (zenon_L34_); trivial.
% 1.06/1.24  apply (zenon_L148_); trivial.
% 1.06/1.24  apply (zenon_L241_); trivial.
% 1.06/1.24  apply (zenon_L214_); trivial.
% 1.06/1.24  (* end of lemma zenon_L302_ *)
% 1.06/1.24  assert (zenon_L303_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H1cd zenon_H111 zenon_H59 zenon_H18d zenon_H1ae zenon_H50 zenon_H51 zenon_H52 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H21c zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.24  apply (zenon_L281_); trivial.
% 1.06/1.24  apply (zenon_L302_); trivial.
% 1.06/1.24  (* end of lemma zenon_L303_ *)
% 1.06/1.24  assert (zenon_L304_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H5d zenon_H13e zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H21c zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1ae zenon_H18d zenon_H59 zenon_H111 zenon_H1cd.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.24  apply (zenon_L303_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.24  apply (zenon_L240_); trivial.
% 1.06/1.24  apply (zenon_L302_); trivial.
% 1.06/1.24  (* end of lemma zenon_L304_ *)
% 1.06/1.24  assert (zenon_L305_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H6d zenon_H62 zenon_H139 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H147 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H4b zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1a zenon_H1b zenon_H1c zenon_H1b9 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.06/1.24  apply (zenon_L236_); trivial.
% 1.06/1.24  apply (zenon_L222_); trivial.
% 1.06/1.24  (* end of lemma zenon_L305_ *)
% 1.06/1.24  assert (zenon_L306_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H80 zenon_H97 zenon_H139 zenon_H147 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H165 zenon_H107 zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H43 zenon_H1d9 zenon_H1ca zenon_H1cd zenon_H111 zenon_H18d zenon_H1ae zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H21c zenon_H1c6 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H4b zenon_H15 zenon_H217 zenon_H13e zenon_H62.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.06/1.24  apply (zenon_L236_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.24  apply (zenon_L303_); trivial.
% 1.06/1.24  apply (zenon_L244_); trivial.
% 1.06/1.24  apply (zenon_L305_); trivial.
% 1.06/1.24  (* end of lemma zenon_L306_ *)
% 1.06/1.24  assert (zenon_L307_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H8f zenon_H96 zenon_H139 zenon_H147 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H1cd zenon_H111 zenon_H18d zenon_H1ae zenon_H8d zenon_H21c zenon_H1c6 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H4b zenon_H217 zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.06/1.24  apply (zenon_L235_); trivial.
% 1.06/1.24  apply (zenon_L306_); trivial.
% 1.06/1.24  (* end of lemma zenon_L307_ *)
% 1.06/1.24  assert (zenon_L308_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H175 zenon_H95 zenon_H139 zenon_H147 zenon_H154 zenon_H158 zenon_H111 zenon_H18d zenon_H1ae zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H96 zenon_H13e zenon_H1cd zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H1c6 zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97 zenon_H8d zenon_H46 zenon_H4b zenon_H98.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.06/1.24  apply (zenon_L248_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.06/1.24  apply (zenon_L246_); trivial.
% 1.06/1.24  apply (zenon_L307_); trivial.
% 1.06/1.24  (* end of lemma zenon_L308_ *)
% 1.06/1.24  assert (zenon_L309_ : ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp23)) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H126 zenon_H20b zenon_H20a zenon_H72 zenon_H209 zenon_Ha zenon_Hc3 zenon_H123.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H119 | zenon_intro zenon_H129 ].
% 1.06/1.24  apply (zenon_L230_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H124 ].
% 1.06/1.24  exact (zenon_Hc3 zenon_Hc4).
% 1.06/1.24  exact (zenon_H123 zenon_H124).
% 1.06/1.24  (* end of lemma zenon_L309_ *)
% 1.06/1.24  assert (zenon_L310_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp23)) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H126 zenon_H123 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.06/1.24  apply (zenon_L309_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.06/1.24  apply (zenon_L133_); trivial.
% 1.06/1.24  exact (zenon_H123 zenon_H124).
% 1.06/1.24  apply (zenon_L78_); trivial.
% 1.06/1.24  (* end of lemma zenon_L310_ *)
% 1.06/1.24  assert (zenon_L311_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_Hb7 zenon_H5b zenon_H1 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H12a zenon_Hca.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.06/1.24  apply (zenon_L48_); trivial.
% 1.06/1.24  apply (zenon_L310_); trivial.
% 1.06/1.24  apply (zenon_L126_); trivial.
% 1.06/1.24  (* end of lemma zenon_L311_ *)
% 1.06/1.24  assert (zenon_L312_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H1cd zenon_H165 zenon_H1ae zenon_H18d zenon_H59 zenon_H4b zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H117 zenon_H1b9 zenon_H43 zenon_H107 zenon_H111 zenon_H1c6 zenon_H1ca zenon_Hca zenon_H12a zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.24  apply (zenon_L311_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.24  apply (zenon_L179_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.24  apply (zenon_L156_); trivial.
% 1.06/1.24  apply (zenon_L292_); trivial.
% 1.06/1.24  (* end of lemma zenon_L312_ *)
% 1.06/1.24  assert (zenon_L313_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H10d zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H35 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.06/1.24  apply (zenon_L130_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ].
% 1.06/1.24  apply (zenon_L128_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.06/1.24  apply (zenon_L230_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.06/1.24  apply (zenon_L133_); trivial.
% 1.06/1.24  exact (zenon_H123 zenon_H124).
% 1.06/1.24  exact (zenon_H59 zenon_H5a).
% 1.06/1.24  apply (zenon_L129_); trivial.
% 1.06/1.24  apply (zenon_L126_); trivial.
% 1.06/1.24  (* end of lemma zenon_L313_ *)
% 1.06/1.24  assert (zenon_L314_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H35 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H59 zenon_H5b zenon_H5e.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.24  apply (zenon_L157_); trivial.
% 1.06/1.24  apply (zenon_L313_); trivial.
% 1.06/1.24  (* end of lemma zenon_L314_ *)
% 1.06/1.24  assert (zenon_L315_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H5e zenon_H5b zenon_H59 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.24  apply (zenon_L314_); trivial.
% 1.06/1.24  apply (zenon_L86_); trivial.
% 1.06/1.24  (* end of lemma zenon_L315_ *)
% 1.06/1.24  assert (zenon_L316_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H59 zenon_H5b zenon_H5e zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.24  apply (zenon_L315_); trivial.
% 1.06/1.24  apply (zenon_L185_); trivial.
% 1.06/1.24  (* end of lemma zenon_L316_ *)
% 1.06/1.24  assert (zenon_L317_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c1_1 (a2410)) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H191 zenon_H18f zenon_H190 zenon_Ha zenon_H123.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.06/1.24  apply (zenon_L29_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.06/1.24  apply (zenon_L132_); trivial.
% 1.06/1.24  exact (zenon_H123 zenon_H124).
% 1.06/1.24  (* end of lemma zenon_L317_ *)
% 1.06/1.24  assert (zenon_L318_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp29)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H247 zenon_Hed zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H2c zenon_H2b zenon_H2a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H191 zenon_H190 zenon_Ha zenon_H123.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ].
% 1.06/1.24  apply (zenon_L103_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ].
% 1.06/1.24  apply (zenon_L13_); trivial.
% 1.06/1.24  apply (zenon_L317_); trivial.
% 1.06/1.24  (* end of lemma zenon_L318_ *)
% 1.06/1.24  assert (zenon_L319_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H19f zenon_H123 zenon_H191 zenon_H190 zenon_H247.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.06/1.24  apply (zenon_L318_); trivial.
% 1.06/1.24  apply (zenon_L177_); trivial.
% 1.06/1.24  (* end of lemma zenon_L319_ *)
% 1.06/1.24  assert (zenon_L320_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H145 zenon_H13a zenon_H189 zenon_H187 zenon_H247 zenon_H190 zenon_H191 zenon_H19f zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H1b7 zenon_H1e0 zenon_H10e zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.24  apply (zenon_L319_); trivial.
% 1.06/1.24  apply (zenon_L126_); trivial.
% 1.06/1.24  apply (zenon_L313_); trivial.
% 1.06/1.24  apply (zenon_L167_); trivial.
% 1.06/1.24  (* end of lemma zenon_L320_ *)
% 1.06/1.24  assert (zenon_L321_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H247 zenon_H190 zenon_H191 zenon_H19f zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.24  apply (zenon_L31_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.24  apply (zenon_L320_); trivial.
% 1.06/1.24  apply (zenon_L168_); trivial.
% 1.06/1.24  apply (zenon_L214_); trivial.
% 1.06/1.24  (* end of lemma zenon_L321_ *)
% 1.06/1.24  assert (zenon_L322_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> False).
% 1.06/1.24  do 0 intro. intros zenon_Hb9 zenon_Ha zenon_H18f zenon_H190 zenon_H191 zenon_H1e8.
% 1.06/1.24  generalize (zenon_Hb9 (a2410)). zenon_intro zenon_H249.
% 1.06/1.24  apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_H9 | zenon_intro zenon_H24a ].
% 1.06/1.24  exact (zenon_H9 zenon_Ha).
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H192 | zenon_intro zenon_H1eb ].
% 1.06/1.24  apply (zenon_L131_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1ec | zenon_intro zenon_H198 ].
% 1.06/1.24  exact (zenon_H1ec zenon_H1e8).
% 1.06/1.24  exact (zenon_H198 zenon_H191).
% 1.06/1.24  (* end of lemma zenon_L322_ *)
% 1.06/1.24  assert (zenon_L323_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (~(hskp10)) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H1a1 zenon_H1e8 zenon_H191 zenon_H190 zenon_H18f zenon_Hfc zenon_Hfb zenon_Ha zenon_Ha5 zenon_H7c.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ].
% 1.06/1.24  apply (zenon_L322_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ].
% 1.06/1.24  apply (zenon_L66_); trivial.
% 1.06/1.24  exact (zenon_H7c zenon_H7d).
% 1.06/1.24  (* end of lemma zenon_L323_ *)
% 1.06/1.24  assert (zenon_L324_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp10)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp1)) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H109 zenon_H21c zenon_H1be zenon_H1bd zenon_H1bc zenon_H52 zenon_H51 zenon_H50 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H7c zenon_H190 zenon_H191 zenon_H1e8 zenon_H1a1 zenon_H43.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.06/1.24  apply (zenon_L149_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.06/1.24  apply (zenon_L22_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 1.06/1.24  apply (zenon_L29_); trivial.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.06/1.24  apply (zenon_L323_); trivial.
% 1.06/1.24  exact (zenon_H43 zenon_H44).
% 1.06/1.24  (* end of lemma zenon_L324_ *)
% 1.06/1.24  assert (zenon_L325_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2410)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H1c5 zenon_H13a zenon_H189 zenon_H187 zenon_H247 zenon_H190 zenon_H191 zenon_H19f zenon_H2c zenon_H2b zenon_H2a zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H50 zenon_H51 zenon_H52 zenon_H107 zenon_H43 zenon_H1e8 zenon_H7c zenon_H1a1 zenon_H21c zenon_H10e.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.06/1.24  apply (zenon_L318_); trivial.
% 1.06/1.24  apply (zenon_L324_); trivial.
% 1.06/1.24  apply (zenon_L126_); trivial.
% 1.06/1.24  (* end of lemma zenon_L325_ *)
% 1.06/1.24  assert (zenon_L326_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2410)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H1cb zenon_H1ae zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_H1ca zenon_H107 zenon_H43 zenon_H1e8 zenon_H1a1 zenon_H21c zenon_H111 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_Hca zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H19f zenon_H191 zenon_H190 zenon_H247 zenon_H189 zenon_H13a zenon_H1b9 zenon_H4b zenon_H165 zenon_H4e.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.24  apply (zenon_L31_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.24  apply (zenon_L320_); trivial.
% 1.06/1.24  apply (zenon_L325_); trivial.
% 1.06/1.24  apply (zenon_L214_); trivial.
% 1.06/1.24  apply (zenon_L297_); trivial.
% 1.06/1.24  (* end of lemma zenon_L326_ *)
% 1.06/1.24  assert (zenon_L327_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H4a zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H13a zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_H5b zenon_Hb7 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H1b9 zenon_H43 zenon_H107 zenon_H111 zenon_H1c6 zenon_H1ca.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.24  apply (zenon_L179_); trivial.
% 1.06/1.24  apply (zenon_L232_); trivial.
% 1.06/1.24  (* end of lemma zenon_L327_ *)
% 1.06/1.24  assert (zenon_L328_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H1ca zenon_H1c6 zenon_H111 zenon_H107 zenon_H43 zenon_H1b9 zenon_H117 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H4b zenon_H1db zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H158 zenon_H165 zenon_Hca zenon_H12a zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.24  apply (zenon_L311_); trivial.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.24  apply (zenon_L181_); trivial.
% 1.06/1.24  apply (zenon_L327_); trivial.
% 1.06/1.24  (* end of lemma zenon_L328_ *)
% 1.06/1.24  assert (zenon_L329_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H10d zenon_Hca zenon_H10e zenon_H139 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H107 zenon_H43 zenon_H187 zenon_H189 zenon_Hef zenon_H117 zenon_H35 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.06/1.24  apply (zenon_L202_); trivial.
% 1.06/1.24  apply (zenon_L189_); trivial.
% 1.06/1.24  (* end of lemma zenon_L329_ *)
% 1.06/1.24  assert (zenon_L330_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H4a zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H1b9 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H117 zenon_Hef zenon_H189 zenon_H187 zenon_H43 zenon_H107 zenon_H105 zenon_H139 zenon_H10e zenon_Hca zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.24  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.24  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.24  apply (zenon_L57_); trivial.
% 1.06/1.24  apply (zenon_L329_); trivial.
% 1.06/1.24  apply (zenon_L167_); trivial.
% 1.06/1.24  apply (zenon_L168_); trivial.
% 1.06/1.24  apply (zenon_L232_); trivial.
% 1.06/1.24  (* end of lemma zenon_L330_ *)
% 1.06/1.24  assert (zenon_L331_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.06/1.24  do 0 intro. intros zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H1cb zenon_H117 zenon_H139 zenon_Hca zenon_H1ca zenon_H1d9 zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H189 zenon_H187 zenon_H1b9 zenon_H4b zenon_H158 zenon_H201 zenon_H154 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H5b zenon_H1db zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H165.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.25  apply (zenon_L208_); trivial.
% 1.06/1.25  apply (zenon_L330_); trivial.
% 1.06/1.25  (* end of lemma zenon_L331_ *)
% 1.06/1.25  assert (zenon_L332_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> (~(hskp23)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H35 zenon_Hc3 zenon_H123 zenon_H126 zenon_H12a.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.06/1.25  apply (zenon_L79_); trivial.
% 1.06/1.25  apply (zenon_L310_); trivial.
% 1.06/1.25  (* end of lemma zenon_L332_ *)
% 1.06/1.25  assert (zenon_L333_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H1b7 zenon_H145 zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.25  apply (zenon_L332_); trivial.
% 1.06/1.25  apply (zenon_L126_); trivial.
% 1.06/1.25  apply (zenon_L167_); trivial.
% 1.06/1.25  (* end of lemma zenon_L333_ *)
% 1.06/1.25  assert (zenon_L334_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_Hca zenon_H145 zenon_H1b9 zenon_H4b.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.25  apply (zenon_L333_); trivial.
% 1.06/1.25  apply (zenon_L168_); trivial.
% 1.06/1.25  (* end of lemma zenon_L334_ *)
% 1.06/1.25  assert (zenon_L335_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.25  apply (zenon_L334_); trivial.
% 1.06/1.25  apply (zenon_L214_); trivial.
% 1.06/1.25  (* end of lemma zenon_L335_ *)
% 1.06/1.25  assert (zenon_L336_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp17)) -> (~(hskp21)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H13b zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H147 zenon_H145 zenon_H143 zenon_H43 zenon_H139.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ].
% 1.06/1.25  apply (zenon_L103_); trivial.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.06/1.25  apply (zenon_L93_); trivial.
% 1.06/1.25  exact (zenon_H43 zenon_H44).
% 1.06/1.25  apply (zenon_L177_); trivial.
% 1.06/1.25  (* end of lemma zenon_L336_ *)
% 1.06/1.25  assert (zenon_L337_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp29)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H154 zenon_Hed zenon_H73 zenon_H74 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_H1f1 zenon_H1f2 zenon_H8d zenon_Ha zenon_H14a zenon_H14b zenon_H14c.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 1.06/1.25  apply (zenon_L103_); trivial.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 1.06/1.25  apply (zenon_L194_); trivial.
% 1.06/1.25  apply (zenon_L95_); trivial.
% 1.06/1.25  (* end of lemma zenon_L337_ *)
% 1.06/1.25  assert (zenon_L338_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H153 zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.06/1.25  apply (zenon_L192_); trivial.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.06/1.25  apply (zenon_L337_); trivial.
% 1.06/1.25  apply (zenon_L177_); trivial.
% 1.06/1.25  (* end of lemma zenon_L338_ *)
% 1.06/1.25  assert (zenon_L339_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H1cd zenon_H59 zenon_H18d zenon_H1ae zenon_H158 zenon_H201 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H1e8 zenon_H1ed zenon_H139 zenon_H147 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H13f zenon_H141 zenon_H111 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.25  apply (zenon_L335_); trivial.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.25  apply (zenon_L332_); trivial.
% 1.06/1.25  apply (zenon_L336_); trivial.
% 1.06/1.25  apply (zenon_L338_); trivial.
% 1.06/1.25  apply (zenon_L178_); trivial.
% 1.06/1.25  apply (zenon_L148_); trivial.
% 1.06/1.25  apply (zenon_L150_); trivial.
% 1.06/1.25  apply (zenon_L214_); trivial.
% 1.06/1.25  (* end of lemma zenon_L339_ *)
% 1.06/1.25  assert (zenon_L340_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H35 zenon_H8d.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.25  apply (zenon_L57_); trivial.
% 1.06/1.25  apply (zenon_L313_); trivial.
% 1.06/1.25  (* end of lemma zenon_L340_ *)
% 1.06/1.25  assert (zenon_L341_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H145 zenon_H1b9 zenon_H4b.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.25  apply (zenon_L340_); trivial.
% 1.06/1.25  apply (zenon_L167_); trivial.
% 1.06/1.25  apply (zenon_L168_); trivial.
% 1.06/1.25  (* end of lemma zenon_L341_ *)
% 1.06/1.25  assert (zenon_L342_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.25  apply (zenon_L341_); trivial.
% 1.06/1.25  apply (zenon_L214_); trivial.
% 1.06/1.25  (* end of lemma zenon_L342_ *)
% 1.06/1.25  assert (zenon_L343_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H1ae zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.25  apply (zenon_L342_); trivial.
% 1.06/1.25  apply (zenon_L220_); trivial.
% 1.06/1.25  (* end of lemma zenon_L343_ *)
% 1.06/1.25  assert (zenon_L344_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H147 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_Hca zenon_H1b9 zenon_H4b zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H139 zenon_H165 zenon_Hb3 zenon_Hb1 zenon_H16f zenon_H8d zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H10e zenon_H13e.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.25  apply (zenon_L334_); trivial.
% 1.06/1.25  apply (zenon_L100_); trivial.
% 1.06/1.25  apply (zenon_L221_); trivial.
% 1.06/1.25  apply (zenon_L109_); trivial.
% 1.06/1.25  apply (zenon_L222_); trivial.
% 1.06/1.25  (* end of lemma zenon_L344_ *)
% 1.06/1.25  assert (zenon_L345_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5b zenon_H5e zenon_H62.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.25  apply (zenon_L234_); trivial.
% 1.06/1.25  apply (zenon_L45_); trivial.
% 1.06/1.25  (* end of lemma zenon_L345_ *)
% 1.06/1.25  assert (zenon_L346_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp0)) -> False).
% 1.06/1.25  do 0 intro. intros zenon_Hef zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_Hed zenon_Hb1.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ].
% 1.06/1.25  apply (zenon_L9_); trivial.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ].
% 1.06/1.25  exact (zenon_Hed zenon_Hee).
% 1.06/1.25  exact (zenon_Hb1 zenon_Hb2).
% 1.06/1.25  (* end of lemma zenon_L346_ *)
% 1.06/1.25  assert (zenon_L347_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H8f zenon_H62 zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.06/1.25  apply (zenon_L233_); trivial.
% 1.06/1.25  apply (zenon_L115_); trivial.
% 1.06/1.25  (* end of lemma zenon_L347_ *)
% 1.06/1.25  assert (zenon_L348_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H178 zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H6e zenon_H97 zenon_H8d zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.06/1.25  apply (zenon_L227_); trivial.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.06/1.25  apply (zenon_L38_); trivial.
% 1.06/1.25  (* end of lemma zenon_L348_ *)
% 1.06/1.25  assert (zenon_L349_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H24b zenon_Ha zenon_H24c zenon_H24d zenon_H24e.
% 1.06/1.25  generalize (zenon_H24b (a2407)). zenon_intro zenon_H24f.
% 1.06/1.25  apply (zenon_imply_s _ _ zenon_H24f); [ zenon_intro zenon_H9 | zenon_intro zenon_H250 ].
% 1.06/1.25  exact (zenon_H9 zenon_Ha).
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H252 | zenon_intro zenon_H251 ].
% 1.06/1.25  exact (zenon_H24c zenon_H252).
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H254 | zenon_intro zenon_H253 ].
% 1.06/1.25  exact (zenon_H24d zenon_H254).
% 1.06/1.25  exact (zenon_H253 zenon_H24e).
% 1.06/1.25  (* end of lemma zenon_L349_ *)
% 1.06/1.25  assert (zenon_L350_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp21)) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H115 zenon_H143.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H24b | zenon_intro zenon_H256 ].
% 1.06/1.25  apply (zenon_L349_); trivial.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H116 | zenon_intro zenon_H144 ].
% 1.06/1.25  exact (zenon_H115 zenon_H116).
% 1.06/1.25  exact (zenon_H143 zenon_H144).
% 1.06/1.25  (* end of lemma zenon_L350_ *)
% 1.06/1.25  assert (zenon_L351_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H12a zenon_H18d zenon_H59 zenon_Hf1 zenon_He2 zenon_He1 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.06/1.25  apply (zenon_L350_); trivial.
% 1.06/1.25  apply (zenon_L129_); trivial.
% 1.06/1.25  (* end of lemma zenon_L351_ *)
% 1.06/1.25  assert (zenon_L352_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp22)) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H257 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H33 zenon_H258.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H24b | zenon_intro zenon_H259 ].
% 1.06/1.25  apply (zenon_L349_); trivial.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H34 | zenon_intro zenon_H25a ].
% 1.06/1.25  exact (zenon_H33 zenon_H34).
% 1.06/1.25  exact (zenon_H258 zenon_H25a).
% 1.06/1.25  (* end of lemma zenon_L352_ *)
% 1.06/1.25  assert (zenon_L353_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a2453))) -> (~(c1_1 (a2453))) -> (~(c2_1 (a2453))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_Ha6 zenon_Ha zenon_H25b zenon_H25c zenon_H25d.
% 1.06/1.25  generalize (zenon_Ha6 (a2453)). zenon_intro zenon_H25e.
% 1.06/1.25  apply (zenon_imply_s _ _ zenon_H25e); [ zenon_intro zenon_H9 | zenon_intro zenon_H25f ].
% 1.06/1.25  exact (zenon_H9 zenon_Ha).
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H261 | zenon_intro zenon_H260 ].
% 1.06/1.25  exact (zenon_H25b zenon_H261).
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H263 | zenon_intro zenon_H262 ].
% 1.06/1.25  exact (zenon_H25c zenon_H263).
% 1.06/1.25  exact (zenon_H25d zenon_H262).
% 1.06/1.25  (* end of lemma zenon_L353_ *)
% 1.06/1.25  assert (zenon_L354_ : ((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H264 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H14a zenon_H14b zenon_H14c.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_Ha. zenon_intro zenon_H265.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H25b. zenon_intro zenon_H266.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H25d.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 1.06/1.25  apply (zenon_L353_); trivial.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 1.06/1.25  apply (zenon_L6_); trivial.
% 1.06/1.25  apply (zenon_L95_); trivial.
% 1.06/1.25  (* end of lemma zenon_L354_ *)
% 1.06/1.25  assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H153 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H258 | zenon_intro zenon_H264 ].
% 1.06/1.25  apply (zenon_L352_); trivial.
% 1.06/1.25  apply (zenon_L354_); trivial.
% 1.06/1.25  (* end of lemma zenon_L355_ *)
% 1.06/1.25  assert (zenon_L356_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H10d zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H59 zenon_H18d zenon_H12a.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.06/1.25  apply (zenon_L351_); trivial.
% 1.06/1.25  apply (zenon_L355_); trivial.
% 1.06/1.25  (* end of lemma zenon_L356_ *)
% 1.06/1.25  assert (zenon_L357_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H112 zenon_H111 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H18d zenon_H12a zenon_Hd9 zenon_H59 zenon_H5b zenon_H5e.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.25  apply (zenon_L157_); trivial.
% 1.06/1.25  apply (zenon_L356_); trivial.
% 1.06/1.25  (* end of lemma zenon_L357_ *)
% 1.06/1.25  assert (zenon_L358_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H13e zenon_H111 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H18d zenon_H12a zenon_Hd9 zenon_H59 zenon_H5e zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.25  apply (zenon_L52_); trivial.
% 1.06/1.25  apply (zenon_L357_); trivial.
% 1.06/1.25  (* end of lemma zenon_L358_ *)
% 1.06/1.25  assert (zenon_L359_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H5e zenon_Hd9 zenon_H12a zenon_H18d zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H111 zenon_H13e.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.25  apply (zenon_L358_); trivial.
% 1.06/1.25  apply (zenon_L45_); trivial.
% 1.06/1.25  (* end of lemma zenon_L359_ *)
% 1.06/1.25  assert (zenon_L360_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp23)) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H12a zenon_H126 zenon_H123 zenon_Hc3 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.06/1.25  apply (zenon_L350_); trivial.
% 1.06/1.25  apply (zenon_L78_); trivial.
% 1.06/1.25  (* end of lemma zenon_L360_ *)
% 1.06/1.25  assert (zenon_L361_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H255 zenon_H143 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.25  apply (zenon_L360_); trivial.
% 1.06/1.25  apply (zenon_L126_); trivial.
% 1.06/1.25  (* end of lemma zenon_L361_ *)
% 1.06/1.25  assert (zenon_L362_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Hc3 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H187 zenon_H189 zenon_H13a.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.06/1.25  apply (zenon_L361_); trivial.
% 1.06/1.25  apply (zenon_L355_); trivial.
% 1.06/1.25  (* end of lemma zenon_L362_ *)
% 1.06/1.25  assert (zenon_L363_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H6d zenon_H13e zenon_H1cd zenon_H4e zenon_H247 zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H189 zenon_H4b zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H165.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.25  apply (zenon_L101_); trivial.
% 1.06/1.25  apply (zenon_L270_); trivial.
% 1.06/1.25  (* end of lemma zenon_L363_ *)
% 1.06/1.25  assert (zenon_L364_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3)))))) -> (ndr1_0) -> (~(c2_1 (a2407))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H29 zenon_Ha zenon_H24d zenon_H166 zenon_H24c zenon_H24e.
% 1.06/1.25  generalize (zenon_H29 (a2407)). zenon_intro zenon_H268.
% 1.06/1.25  apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_H9 | zenon_intro zenon_H269 ].
% 1.06/1.25  exact (zenon_H9 zenon_Ha).
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H254 | zenon_intro zenon_H26a ].
% 1.06/1.25  exact (zenon_H24d zenon_H254).
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H26b | zenon_intro zenon_H253 ].
% 1.06/1.25  generalize (zenon_H166 (a2407)). zenon_intro zenon_H26c.
% 1.06/1.25  apply (zenon_imply_s _ _ zenon_H26c); [ zenon_intro zenon_H9 | zenon_intro zenon_H26d ].
% 1.06/1.25  exact (zenon_H9 zenon_Ha).
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H252 | zenon_intro zenon_H26e ].
% 1.06/1.25  exact (zenon_H24c zenon_H252).
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H253 | zenon_intro zenon_H26f ].
% 1.06/1.25  exact (zenon_H253 zenon_H24e).
% 1.06/1.25  exact (zenon_H26f zenon_H26b).
% 1.06/1.25  exact (zenon_H253 zenon_H24e).
% 1.06/1.25  (* end of lemma zenon_L364_ *)
% 1.06/1.25  assert (zenon_L365_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2407))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H1ae zenon_H19 zenon_H24d zenon_H166 zenon_H24c zenon_H24e zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd7.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H39 | zenon_intro zenon_H1af ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.06/1.25  apply (zenon_L82_); trivial.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.06/1.25  apply (zenon_L364_); trivial.
% 1.06/1.25  apply (zenon_L144_); trivial.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H18f | zenon_intro zenon_Hd8 ].
% 1.06/1.25  apply (zenon_L139_); trivial.
% 1.06/1.25  exact (zenon_Hd7 zenon_Hd8).
% 1.06/1.25  (* end of lemma zenon_L365_ *)
% 1.06/1.25  assert (zenon_L366_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp20)) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp29)) -> (~(hskp0)) -> False).
% 1.06/1.25  do 0 intro. intros zenon_Hef zenon_Hd7 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H12d zenon_H12c zenon_H12b zenon_H24e zenon_H24c zenon_H166 zenon_H24d zenon_H1ae zenon_Hed zenon_Hb1.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ].
% 1.06/1.25  apply (zenon_L365_); trivial.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ].
% 1.06/1.25  exact (zenon_Hed zenon_Hee).
% 1.06/1.25  exact (zenon_Hb1 zenon_Hb2).
% 1.06/1.25  (* end of lemma zenon_L366_ *)
% 1.06/1.25  assert (zenon_L367_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp29)) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd7 zenon_Hef zenon_Hed.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.06/1.25  apply (zenon_L6_); trivial.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.06/1.25  apply (zenon_L366_); trivial.
% 1.06/1.25  exact (zenon_Hed zenon_Hee).
% 1.06/1.25  (* end of lemma zenon_L367_ *)
% 1.06/1.25  assert (zenon_L368_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H13a zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.06/1.25  apply (zenon_L141_); trivial.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.06/1.25  apply (zenon_L367_); trivial.
% 1.06/1.25  apply (zenon_L177_); trivial.
% 1.06/1.25  (* end of lemma zenon_L368_ *)
% 1.06/1.25  assert (zenon_L369_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H13a.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.25  apply (zenon_L368_); trivial.
% 1.06/1.25  apply (zenon_L155_); trivial.
% 1.06/1.25  (* end of lemma zenon_L369_ *)
% 1.06/1.25  assert (zenon_L370_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H13a zenon_H145 zenon_H1b9 zenon_H4b.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.25  apply (zenon_L369_); trivial.
% 1.06/1.25  apply (zenon_L148_); trivial.
% 1.06/1.25  apply (zenon_L168_); trivial.
% 1.06/1.25  (* end of lemma zenon_L370_ *)
% 1.06/1.25  assert (zenon_L371_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H162 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257 zenon_H5b zenon_H1db.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.06/1.25  apply (zenon_L169_); trivial.
% 1.06/1.25  apply (zenon_L355_); trivial.
% 1.06/1.25  (* end of lemma zenon_L371_ *)
% 1.06/1.25  assert (zenon_L372_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H13e zenon_Hd9 zenon_H5e zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_H1e0 zenon_H10e zenon_H1b9 zenon_H4b zenon_H1db zenon_H5b zenon_H165 zenon_H1cd.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.25  apply (zenon_L362_); trivial.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.25  apply (zenon_L370_); trivial.
% 1.06/1.25  apply (zenon_L371_); trivial.
% 1.06/1.25  apply (zenon_L357_); trivial.
% 1.06/1.25  (* end of lemma zenon_L372_ *)
% 1.06/1.25  assert (zenon_L373_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H62 zenon_H1cd zenon_H165 zenon_H5b zenon_H1db zenon_H4b zenon_H1b9 zenon_H10e zenon_H1e0 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H5e zenon_Hd9 zenon_H13e.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.06/1.25  apply (zenon_L372_); trivial.
% 1.06/1.25  apply (zenon_L25_); trivial.
% 1.06/1.25  (* end of lemma zenon_L373_ *)
% 1.06/1.25  assert (zenon_L374_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H97 zenon_H6e zenon_H15 zenon_H13e zenon_Hd9 zenon_H5e zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_H1e0 zenon_H10e zenon_H1b9 zenon_H4b zenon_H1db zenon_H5b zenon_H165 zenon_H1cd zenon_H62.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.25  apply (zenon_L373_); trivial.
% 1.06/1.25  apply (zenon_L28_); trivial.
% 1.06/1.25  (* end of lemma zenon_L374_ *)
% 1.06/1.25  assert (zenon_L375_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H13a zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.25  apply (zenon_L370_); trivial.
% 1.06/1.25  apply (zenon_L214_); trivial.
% 1.06/1.25  (* end of lemma zenon_L375_ *)
% 1.06/1.25  assert (zenon_L376_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H1cd zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H19d zenon_H18d zenon_H59 zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.25  apply (zenon_L281_); trivial.
% 1.06/1.25  apply (zenon_L375_); trivial.
% 1.06/1.25  (* end of lemma zenon_L376_ *)
% 1.06/1.25  assert (zenon_L377_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H80 zenon_H97 zenon_H139 zenon_H147 zenon_H154 zenon_H158 zenon_H13e zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hd9 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H111 zenon_H18d zenon_H19d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1cd zenon_H21c zenon_H62.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.25  apply (zenon_L376_); trivial.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.25  apply (zenon_L240_); trivial.
% 1.06/1.25  apply (zenon_L220_); trivial.
% 1.06/1.25  apply (zenon_L304_); trivial.
% 1.06/1.25  apply (zenon_L298_); trivial.
% 1.06/1.25  (* end of lemma zenon_L377_ *)
% 1.06/1.25  assert (zenon_L378_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H96 zenon_H13e zenon_H217 zenon_Hca zenon_Hc6 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H7e zenon_H7c zenon_H107 zenon_H247 zenon_H1cd zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H15 zenon_H6e zenon_H97.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.25  apply (zenon_L41_); trivial.
% 1.06/1.25  apply (zenon_L28_); trivial.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.25  apply (zenon_L41_); trivial.
% 1.06/1.25  apply (zenon_L271_); trivial.
% 1.06/1.25  (* end of lemma zenon_L378_ *)
% 1.06/1.25  assert (zenon_L379_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H98 zenon_H62 zenon_H8d zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H97 zenon_H6e zenon_H15 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e zenon_H1cd zenon_H247 zenon_H107 zenon_H7e zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_Hc6 zenon_Hca zenon_H217 zenon_H13e zenon_H96.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.06/1.25  apply (zenon_L378_); trivial.
% 1.06/1.25  apply (zenon_L36_); trivial.
% 1.06/1.25  (* end of lemma zenon_L379_ *)
% 1.06/1.25  assert (zenon_L380_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H175 zenon_H95 zenon_H21c zenon_H165 zenon_H1db zenon_H1b9 zenon_H10e zenon_H1e0 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H19d zenon_H18d zenon_H111 zenon_H1d9 zenon_H1ca zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H257 zenon_H154 zenon_H267 zenon_H158 zenon_H5e zenon_Hd9 zenon_H96 zenon_H13e zenon_H217 zenon_Hca zenon_Hc6 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H7e zenon_H107 zenon_H247 zenon_H1cd zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H37 zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H15 zenon_H6e zenon_H97 zenon_H27 zenon_H8d zenon_H62 zenon_H98.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.06/1.25  apply (zenon_L379_); trivial.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.06/1.25  apply (zenon_L374_); trivial.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.06/1.25  apply (zenon_L236_); trivial.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.25  apply (zenon_L362_); trivial.
% 1.06/1.25  apply (zenon_L243_); trivial.
% 1.06/1.25  apply (zenon_L244_); trivial.
% 1.06/1.25  (* end of lemma zenon_L380_ *)
% 1.06/1.25  assert (zenon_L381_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H13e zenon_Hd9 zenon_H5e zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_H1e0 zenon_H10e zenon_H1b9 zenon_H4b zenon_H1db zenon_H5b zenon_H165 zenon_H1cd zenon_H62.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.25  apply (zenon_L373_); trivial.
% 1.06/1.25  apply (zenon_L45_); trivial.
% 1.06/1.25  (* end of lemma zenon_L381_ *)
% 1.06/1.25  assert (zenon_L382_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H45 zenon_H270 zenon_H187 zenon_H189 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.06/1.25  apply (zenon_L166_); trivial.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.06/1.25  apply (zenon_L349_); trivial.
% 1.06/1.25  apply (zenon_L191_); trivial.
% 1.06/1.25  (* end of lemma zenon_L382_ *)
% 1.06/1.25  assert (zenon_L383_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H4a zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H187 zenon_H189 zenon_H33 zenon_H37.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.25  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.25  apply (zenon_L16_); trivial.
% 1.06/1.25  apply (zenon_L382_); trivial.
% 1.06/1.25  (* end of lemma zenon_L383_ *)
% 1.06/1.25  assert (zenon_L384_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.06/1.25  do 0 intro. intros zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H187 zenon_H189 zenon_H33 zenon_H37 zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.06/1.25  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.25  apply (zenon_L31_); trivial.
% 1.06/1.25  apply (zenon_L383_); trivial.
% 1.06/1.25  (* end of lemma zenon_L384_ *)
% 1.06/1.25  assert (zenon_L385_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H162 zenon_H270 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.06/1.26  apply (zenon_L99_); trivial.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.06/1.26  apply (zenon_L13_); trivial.
% 1.06/1.26  apply (zenon_L144_); trivial.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.06/1.26  apply (zenon_L349_); trivial.
% 1.06/1.26  apply (zenon_L191_); trivial.
% 1.06/1.26  (* end of lemma zenon_L385_ *)
% 1.06/1.26  assert (zenon_L386_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.26  apply (zenon_L31_); trivial.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.26  apply (zenon_L286_); trivial.
% 1.06/1.26  apply (zenon_L385_); trivial.
% 1.06/1.26  (* end of lemma zenon_L386_ *)
% 1.06/1.26  assert (zenon_L387_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H10d zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_H1 zenon_H5b zenon_Hb7.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.06/1.26  apply (zenon_L48_); trivial.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.06/1.26  apply (zenon_L62_); trivial.
% 1.06/1.26  apply (zenon_L161_); trivial.
% 1.06/1.26  (* end of lemma zenon_L387_ *)
% 1.06/1.26  assert (zenon_L388_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (c1_1 (a2432)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c0_1 (a2432))) -> (c3_1 (a2432)) -> False).
% 1.06/1.26  do 0 intro. intros zenon_Hf9 zenon_Ha zenon_H3b zenon_H19 zenon_H3a zenon_H3c.
% 1.06/1.26  generalize (zenon_Hf9 (a2432)). zenon_intro zenon_H272.
% 1.06/1.26  apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ].
% 1.06/1.26  exact (zenon_H9 zenon_Ha).
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H42 | zenon_intro zenon_H1d8 ].
% 1.06/1.26  exact (zenon_H42 zenon_H3b).
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H41 ].
% 1.06/1.26  apply (zenon_L165_); trivial.
% 1.06/1.26  exact (zenon_H41 zenon_H3c).
% 1.06/1.26  (* end of lemma zenon_L388_ *)
% 1.06/1.26  assert (zenon_L389_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H45 zenon_Hca zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H1 zenon_H5b zenon_Hb7.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.06/1.26  apply (zenon_L48_); trivial.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.06/1.26  apply (zenon_L33_); trivial.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.06/1.26  apply (zenon_L49_); trivial.
% 1.06/1.26  apply (zenon_L388_); trivial.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.06/1.26  apply (zenon_L349_); trivial.
% 1.06/1.26  apply (zenon_L191_); trivial.
% 1.06/1.26  (* end of lemma zenon_L389_ *)
% 1.06/1.26  assert (zenon_L390_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H4a zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H1 zenon_H5b zenon_Hb7 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.26  apply (zenon_L204_); trivial.
% 1.06/1.26  apply (zenon_L389_); trivial.
% 1.06/1.26  (* end of lemma zenon_L390_ *)
% 1.06/1.26  assert (zenon_L391_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H13a zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_Hca zenon_Hb7 zenon_H5b zenon_H1 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H111 zenon_H1c6 zenon_H1ca.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.26  apply (zenon_L368_); trivial.
% 1.06/1.26  apply (zenon_L387_); trivial.
% 1.06/1.26  apply (zenon_L389_); trivial.
% 1.06/1.26  apply (zenon_L150_); trivial.
% 1.06/1.26  apply (zenon_L390_); trivial.
% 1.06/1.26  (* end of lemma zenon_L391_ *)
% 1.06/1.26  assert (zenon_L392_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H10e zenon_H1e0 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H19d zenon_Hca zenon_Hb7 zenon_H5b zenon_H1 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H111 zenon_H1c6 zenon_H1ca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.26  apply (zenon_L362_); trivial.
% 1.06/1.26  apply (zenon_L391_); trivial.
% 1.06/1.26  (* end of lemma zenon_L392_ *)
% 1.06/1.26  assert (zenon_L393_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2417))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (~(c2_1 (a2407))) -> (ndr1_0) -> (c0_1 (a2450)) -> (c1_1 (a2450)) -> (c3_1 (a2450)) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H1cb zenon_H66 zenon_H64 zenon_Ha6 zenon_H65 zenon_H24e zenon_H24c zenon_H166 zenon_H24d zenon_Ha zenon_H11a zenon_H11b zenon_H11c.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.06/1.26  apply (zenon_L42_); trivial.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.06/1.26  apply (zenon_L364_); trivial.
% 1.06/1.26  apply (zenon_L76_); trivial.
% 1.06/1.26  (* end of lemma zenon_L393_ *)
% 1.06/1.26  assert (zenon_L394_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c3_1 (a2450)) -> (c1_1 (a2450)) -> (c0_1 (a2450)) -> (ndr1_0) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c1_1 (a2417))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp29)) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H16f zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_H1f1 zenon_H1f2 zenon_H8d zenon_H11c zenon_H11b zenon_H11a zenon_Ha zenon_H24d zenon_H24c zenon_H24e zenon_H65 zenon_Ha6 zenon_H64 zenon_H66 zenon_H1cb zenon_Hed.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.06/1.26  apply (zenon_L194_); trivial.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.06/1.26  apply (zenon_L393_); trivial.
% 1.06/1.26  exact (zenon_Hed zenon_Hee).
% 1.06/1.26  (* end of lemma zenon_L394_ *)
% 1.06/1.26  assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp29)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (~(c0_1 (a2478))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H125 zenon_Hb3 zenon_Hed zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H8d zenon_H1f2 zenon_H1f1 zenon_H86 zenon_H85 zenon_H84 zenon_H35 zenon_H16f zenon_H66 zenon_H65 zenon_H64 zenon_Hb1.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb4 ].
% 1.06/1.26  apply (zenon_L394_); trivial.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb2 ].
% 1.06/1.26  apply (zenon_L27_); trivial.
% 1.06/1.26  exact (zenon_Hb1 zenon_Hb2).
% 1.06/1.26  (* end of lemma zenon_L395_ *)
% 1.06/1.26  assert (zenon_L396_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2478)) -> (~(c0_1 (a2478))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp29)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H35 zenon_H86 zenon_H85 zenon_H84 zenon_H1f2 zenon_H1f1 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_Hed zenon_H16f zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.06/1.26  apply (zenon_L350_); trivial.
% 1.06/1.26  apply (zenon_L395_); trivial.
% 1.06/1.26  (* end of lemma zenon_L396_ *)
% 1.06/1.26  assert (zenon_L397_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H4b zenon_H270 zenon_H201 zenon_Hca zenon_H10e zenon_H139 zenon_H105 zenon_H107 zenon_H43 zenon_H187 zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H16f zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H1 zenon_H5b zenon_Hb7 zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H154 zenon_H158.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.06/1.26  apply (zenon_L192_); trivial.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.06/1.26  apply (zenon_L48_); trivial.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.06/1.26  apply (zenon_L396_); trivial.
% 1.06/1.26  apply (zenon_L188_); trivial.
% 1.06/1.26  apply (zenon_L196_); trivial.
% 1.06/1.26  apply (zenon_L389_); trivial.
% 1.06/1.26  (* end of lemma zenon_L397_ *)
% 1.06/1.26  assert (zenon_L398_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.06/1.26  apply (zenon_L350_); trivial.
% 1.06/1.26  apply (zenon_L201_); trivial.
% 1.06/1.26  (* end of lemma zenon_L398_ *)
% 1.06/1.26  assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H125 zenon_H154 zenon_H2a zenon_H2b zenon_H2c zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_He zenon_Hd zenon_Hc zenon_H14a zenon_H14b zenon_H14c.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 1.06/1.26  apply (zenon_L200_); trivial.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 1.06/1.26  apply (zenon_L6_); trivial.
% 1.06/1.26  apply (zenon_L95_); trivial.
% 1.06/1.26  (* end of lemma zenon_L399_ *)
% 1.06/1.26  assert (zenon_L400_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H154 zenon_H14c zenon_H14b zenon_H14a zenon_He zenon_Hd zenon_Hc zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.06/1.26  apply (zenon_L140_); trivial.
% 1.06/1.26  apply (zenon_L399_); trivial.
% 1.06/1.26  (* end of lemma zenon_L400_ *)
% 1.06/1.26  assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H153 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H66 zenon_H64 zenon_H65 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H12a.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.06/1.26  apply (zenon_L75_); trivial.
% 1.06/1.26  apply (zenon_L399_); trivial.
% 1.06/1.26  apply (zenon_L400_); trivial.
% 1.06/1.26  (* end of lemma zenon_L401_ *)
% 1.06/1.26  assert (zenon_L402_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H158 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.06/1.26  apply (zenon_L398_); trivial.
% 1.06/1.26  apply (zenon_L401_); trivial.
% 1.06/1.26  (* end of lemma zenon_L402_ *)
% 1.06/1.26  assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H4a zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H1 zenon_H5b zenon_Hb7 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H158.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.26  apply (zenon_L402_); trivial.
% 1.06/1.26  apply (zenon_L389_); trivial.
% 1.06/1.26  (* end of lemma zenon_L403_ *)
% 1.06/1.26  assert (zenon_L404_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H19d zenon_H111 zenon_H27 zenon_H25 zenon_Hef zenon_Hd9 zenon_H158 zenon_H154 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H43 zenon_H107 zenon_H105 zenon_H139 zenon_H10e zenon_Hca zenon_H201 zenon_H270 zenon_H4b.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.26  apply (zenon_L397_); trivial.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.26  apply (zenon_L71_); trivial.
% 1.06/1.26  apply (zenon_L389_); trivial.
% 1.06/1.26  apply (zenon_L403_); trivial.
% 1.06/1.26  (* end of lemma zenon_L404_ *)
% 1.06/1.26  assert (zenon_L405_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H5d zenon_H4b zenon_Hca zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H105 zenon_H1 zenon_H5b zenon_Hb7 zenon_H84 zenon_H85 zenon_H86 zenon_H8d.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.26  apply (zenon_L34_); trivial.
% 1.06/1.26  apply (zenon_L389_); trivial.
% 1.06/1.26  (* end of lemma zenon_L405_ *)
% 1.06/1.26  assert (zenon_L406_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H1cd zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H10e zenon_H1e0 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.26  apply (zenon_L362_); trivial.
% 1.06/1.26  apply (zenon_L375_); trivial.
% 1.06/1.26  (* end of lemma zenon_L406_ *)
% 1.06/1.26  assert (zenon_L407_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H187 zenon_H189 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.26  apply (zenon_L57_); trivial.
% 1.06/1.26  apply (zenon_L356_); trivial.
% 1.06/1.26  apply (zenon_L167_); trivial.
% 1.06/1.26  apply (zenon_L168_); trivial.
% 1.06/1.26  apply (zenon_L214_); trivial.
% 1.06/1.26  (* end of lemma zenon_L407_ *)
% 1.06/1.26  assert (zenon_L408_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp12)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H10d zenon_H270 zenon_H59 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H18d zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.06/1.26  apply (zenon_L145_); trivial.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.06/1.26  apply (zenon_L349_); trivial.
% 1.06/1.26  apply (zenon_L191_); trivial.
% 1.06/1.26  (* end of lemma zenon_L408_ *)
% 1.06/1.26  assert (zenon_L409_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H45 zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H59 zenon_H18d zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.26  apply (zenon_L143_); trivial.
% 1.06/1.26  apply (zenon_L408_); trivial.
% 1.06/1.26  (* end of lemma zenon_L409_ *)
% 1.06/1.26  assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H111 zenon_H59 zenon_H18d zenon_H1ae zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.26  apply (zenon_L34_); trivial.
% 1.06/1.26  apply (zenon_L382_); trivial.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.26  apply (zenon_L34_); trivial.
% 1.06/1.26  apply (zenon_L409_); trivial.
% 1.06/1.26  (* end of lemma zenon_L410_ *)
% 1.06/1.26  assert (zenon_L411_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H175 zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.06/1.26  apply (zenon_L9_); trivial.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.06/1.26  apply (zenon_L349_); trivial.
% 1.06/1.26  apply (zenon_L191_); trivial.
% 1.06/1.26  (* end of lemma zenon_L411_ *)
% 1.06/1.26  assert (zenon_L412_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H4b zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H5e zenon_H5b zenon_H59 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.26  apply (zenon_L314_); trivial.
% 1.06/1.26  apply (zenon_L382_); trivial.
% 1.06/1.26  (* end of lemma zenon_L412_ *)
% 1.06/1.26  assert (zenon_L413_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H1ce zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H18d zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H59 zenon_H5b zenon_H5e.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.26  apply (zenon_L157_); trivial.
% 1.06/1.26  apply (zenon_L408_); trivial.
% 1.06/1.26  (* end of lemma zenon_L413_ *)
% 1.06/1.26  assert (zenon_L414_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H59 zenon_H5b zenon_H5e zenon_H24c zenon_H24d zenon_H24e zenon_H1e8 zenon_H270 zenon_H4b.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.26  apply (zenon_L412_); trivial.
% 1.06/1.26  apply (zenon_L413_); trivial.
% 1.06/1.26  (* end of lemma zenon_L414_ *)
% 1.06/1.26  assert (zenon_L415_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H62 zenon_H1cd zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H117 zenon_H18d zenon_H59 zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Hca zenon_H12a zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a zenon_H270 zenon_H1e8 zenon_H5e zenon_Hd9 zenon_H13e.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.26  apply (zenon_L311_); trivial.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.26  apply (zenon_L370_); trivial.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.26  apply (zenon_L369_); trivial.
% 1.06/1.26  apply (zenon_L292_); trivial.
% 1.06/1.26  apply (zenon_L168_); trivial.
% 1.06/1.26  apply (zenon_L414_); trivial.
% 1.06/1.26  apply (zenon_L25_); trivial.
% 1.06/1.26  (* end of lemma zenon_L415_ *)
% 1.06/1.26  assert (zenon_L416_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H13e zenon_Hd9 zenon_H5e zenon_H1e8 zenon_H270 zenon_H13a zenon_H189 zenon_Hb7 zenon_H5b zenon_H1 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H12a zenon_Hca zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H18d zenon_H117 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1b9 zenon_H4b zenon_H107 zenon_H165 zenon_H1cd zenon_H62.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.06/1.26  apply (zenon_L415_); trivial.
% 1.06/1.26  apply (zenon_L45_); trivial.
% 1.06/1.26  (* end of lemma zenon_L416_ *)
% 1.06/1.26  assert (zenon_L417_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H1b9 zenon_H13a zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.26  apply (zenon_L370_); trivial.
% 1.06/1.26  apply (zenon_L232_); trivial.
% 1.06/1.26  (* end of lemma zenon_L417_ *)
% 1.06/1.26  assert (zenon_L418_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H62 zenon_H1cd zenon_H4e zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H59 zenon_H18d zenon_H117 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1b9 zenon_H4b zenon_Hd9 zenon_H1db zenon_H154 zenon_H107 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H27 zenon_H158 zenon_H165 zenon_Hca zenon_H12a zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a zenon_H270 zenon_H1e8 zenon_H5e zenon_H13e.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.26  apply (zenon_L311_); trivial.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.06/1.26  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.26  apply (zenon_L370_); trivial.
% 1.06/1.26  apply (zenon_L180_); trivial.
% 1.06/1.26  apply (zenon_L417_); trivial.
% 1.06/1.26  apply (zenon_L414_); trivial.
% 1.06/1.26  apply (zenon_L25_); trivial.
% 1.06/1.26  (* end of lemma zenon_L418_ *)
% 1.06/1.26  assert (zenon_L419_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H4b zenon_H270 zenon_H1e8 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H117 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H111 zenon_H1c6 zenon_H1ca zenon_Hca zenon_H12a zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.26  apply (zenon_L311_); trivial.
% 1.06/1.26  apply (zenon_L391_); trivial.
% 1.06/1.26  (* end of lemma zenon_L419_ *)
% 1.06/1.26  assert (zenon_L420_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H19f zenon_Hca zenon_H13a zenon_H189 zenon_H187 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H1e0 zenon_H10e zenon_H201 zenon_H158 zenon_H145 zenon_H1b9 zenon_H4b.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.06/1.26  apply (zenon_L361_); trivial.
% 1.06/1.26  apply (zenon_L338_); trivial.
% 1.06/1.26  apply (zenon_L313_); trivial.
% 1.06/1.26  apply (zenon_L167_); trivial.
% 1.06/1.26  apply (zenon_L150_); trivial.
% 1.06/1.26  (* end of lemma zenon_L420_ *)
% 1.06/1.26  assert (zenon_L421_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H158 zenon_H201 zenon_H10e zenon_H1e0 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H187 zenon_H189 zenon_H13a zenon_Hca zenon_H19f zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.06/1.26  apply (zenon_L420_); trivial.
% 1.06/1.26  apply (zenon_L214_); trivial.
% 1.06/1.26  (* end of lemma zenon_L421_ *)
% 1.06/1.26  assert (zenon_L422_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.06/1.26  do 0 intro. intros zenon_H1cd zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H25 zenon_H1d9 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H19f zenon_Hca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H1e0 zenon_H10e zenon_H201 zenon_H158 zenon_H1b9 zenon_H4b zenon_H107 zenon_H165.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.06/1.26  apply (zenon_L421_); trivial.
% 1.06/1.26  apply (zenon_L375_); trivial.
% 1.06/1.26  (* end of lemma zenon_L422_ *)
% 1.06/1.26  assert (zenon_L423_ : (forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> False).
% 1.06/1.26  do 0 intro. intros zenon_Hdc zenon_Ha zenon_H274 zenon_H275 zenon_H276.
% 1.06/1.26  generalize (zenon_Hdc (a2405)). zenon_intro zenon_H277.
% 1.06/1.26  apply (zenon_imply_s _ _ zenon_H277); [ zenon_intro zenon_H9 | zenon_intro zenon_H278 ].
% 1.06/1.26  exact (zenon_H9 zenon_Ha).
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H27a | zenon_intro zenon_H279 ].
% 1.06/1.26  exact (zenon_H274 zenon_H27a).
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H27c | zenon_intro zenon_H27b ].
% 1.06/1.26  exact (zenon_H27c zenon_H275).
% 1.06/1.26  exact (zenon_H27b zenon_H276).
% 1.06/1.26  (* end of lemma zenon_L423_ *)
% 1.06/1.26  assert (zenon_L424_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 1.06/1.26  do 0 intro. intros zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_Hcd zenon_Hcc zenon_H4f zenon_Ha zenon_Hd7.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ].
% 1.06/1.26  apply (zenon_L423_); trivial.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ].
% 1.06/1.26  apply (zenon_L54_); trivial.
% 1.06/1.26  exact (zenon_Hd7 zenon_Hd8).
% 1.06/1.26  (* end of lemma zenon_L424_ *)
% 1.06/1.26  assert (zenon_L425_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (~(c3_1 (a2405))) -> (forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46)))))) -> (c0_1 (a2405)) -> (ndr1_0) -> (~(hskp20)) -> False).
% 1.06/1.26  do 0 intro. intros zenon_Hd9 zenon_H276 zenon_H274 zenon_H83 zenon_H275 zenon_Ha zenon_Hd7.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ].
% 1.06/1.26  apply (zenon_L423_); trivial.
% 1.06/1.26  apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ].
% 1.06/1.26  generalize (zenon_Hd4 (a2405)). zenon_intro zenon_H27d.
% 1.06/1.26  apply (zenon_imply_s _ _ zenon_H27d); [ zenon_intro zenon_H9 | zenon_intro zenon_H27e ].
% 1.06/1.26  exact (zenon_H9 zenon_Ha).
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H27c | zenon_intro zenon_H27f ].
% 1.06/1.26  exact (zenon_H27c zenon_H275).
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H280 | zenon_intro zenon_H27b ].
% 1.06/1.26  generalize (zenon_H83 (a2405)). zenon_intro zenon_H281.
% 1.06/1.26  apply (zenon_imply_s _ _ zenon_H281); [ zenon_intro zenon_H9 | zenon_intro zenon_H282 ].
% 1.06/1.26  exact (zenon_H9 zenon_Ha).
% 1.06/1.26  apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H284 | zenon_intro zenon_H283 ].
% 1.06/1.26  exact (zenon_H280 zenon_H284).
% 1.10/1.26  apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H27a | zenon_intro zenon_H27c ].
% 1.10/1.26  exact (zenon_H274 zenon_H27a).
% 1.10/1.26  exact (zenon_H27c zenon_H275).
% 1.10/1.26  exact (zenon_H27b zenon_H276).
% 1.10/1.26  exact (zenon_Hd7 zenon_Hd8).
% 1.10/1.26  (* end of lemma zenon_L425_ *)
% 1.10/1.26  assert (zenon_L426_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(hskp20)) -> (ndr1_0) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp19)) -> False).
% 1.10/1.26  do 0 intro. intros zenon_H8d zenon_Hcc zenon_Hcd zenon_Hd7 zenon_Ha zenon_H275 zenon_H274 zenon_H276 zenon_Hd9 zenon_H35.
% 1.10/1.26  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 1.10/1.26  apply (zenon_L424_); trivial.
% 1.10/1.26  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 1.10/1.26  apply (zenon_L425_); trivial.
% 1.10/1.26  exact (zenon_H35 zenon_H36).
% 1.10/1.26  (* end of lemma zenon_L426_ *)
% 1.10/1.26  assert (zenon_L427_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2420))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.26  do 0 intro. intros zenon_H4b zenon_H46 zenon_H3 zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H105 zenon_Hda zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H111.
% 1.10/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.26  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.26  apply (zenon_L426_); trivial.
% 1.10/1.26  apply (zenon_L70_); trivial.
% 1.10/1.26  apply (zenon_L19_); trivial.
% 1.10/1.26  (* end of lemma zenon_L427_ *)
% 1.10/1.26  assert (zenon_L428_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.26  do 0 intro. intros zenon_H112 zenon_H4e zenon_H33 zenon_H37 zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H3 zenon_H46 zenon_H4b.
% 1.10/1.26  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.26  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.26  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.26  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.26  apply (zenon_L427_); trivial.
% 1.10/1.26  apply (zenon_L20_); trivial.
% 1.10/1.26  (* end of lemma zenon_L428_ *)
% 1.10/1.26  assert (zenon_L429_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.26  do 0 intro. intros zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hb7 zenon_H5b zenon_H1 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H111.
% 1.10/1.26  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.26  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.26  apply (zenon_L426_); trivial.
% 1.10/1.26  apply (zenon_L387_); trivial.
% 1.10/1.26  apply (zenon_L86_); trivial.
% 1.10/1.26  (* end of lemma zenon_L429_ *)
% 1.10/1.26  assert (zenon_L430_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.26  do 0 intro. intros zenon_H112 zenon_H4e zenon_H33 zenon_H37 zenon_H111 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_H1 zenon_H5b zenon_Hb7 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b.
% 1.10/1.26  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.26  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.26  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.26  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.26  apply (zenon_L429_); trivial.
% 1.10/1.26  apply (zenon_L87_); trivial.
% 1.10/1.26  (* end of lemma zenon_L430_ *)
% 1.10/1.26  assert (zenon_L431_ : ((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.10/1.26  do 0 intro. intros zenon_H204 zenon_H178 zenon_H5e zenon_H7e zenon_H98 zenon_H96 zenon_H117 zenon_H126 zenon_H12a zenon_H139 zenon_H13a zenon_H13e zenon_H111 zenon_H10e zenon_H27 zenon_H107 zenon_H105 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb7 zenon_Hc6 zenon_Hca zenon_H62 zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H37 zenon_Ha3 zenon_Haf zenon_Hb1 zenon_Hb3 zenon_H97 zenon_H13f zenon_H141 zenon_H165 zenon_H158 zenon_H154 zenon_H147 zenon_H16f zenon_H95.
% 1.10/1.26  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.27  apply (zenon_L46_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.27  apply (zenon_L41_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_L52_); trivial.
% 1.10/1.27  apply (zenon_L428_); trivial.
% 1.10/1.27  apply (zenon_L35_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.27  apply (zenon_L41_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_L83_); trivial.
% 1.10/1.27  apply (zenon_L428_); trivial.
% 1.10/1.27  apply (zenon_L35_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.27  apply (zenon_L89_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.27  apply (zenon_L88_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_L52_); trivial.
% 1.10/1.27  apply (zenon_L430_); trivial.
% 1.10/1.27  apply (zenon_L115_); trivial.
% 1.10/1.27  apply (zenon_L111_); trivial.
% 1.10/1.27  apply (zenon_L118_); trivial.
% 1.10/1.27  (* end of lemma zenon_L431_ *)
% 1.10/1.27  assert (zenon_L432_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(c3_1 (a2484))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3)))))) -> (~(hskp20)) -> False).
% 1.10/1.27  do 0 intro. intros zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_Hba zenon_Hbc zenon_Hbb zenon_Ha zenon_H29 zenon_Hd7.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ].
% 1.10/1.27  apply (zenon_L423_); trivial.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ].
% 1.10/1.27  apply (zenon_L122_); trivial.
% 1.10/1.27  exact (zenon_Hd7 zenon_Hd8).
% 1.10/1.27  (* end of lemma zenon_L432_ *)
% 1.10/1.27  assert (zenon_L433_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp19)) -> (~(hskp5)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_Hca zenon_H37 zenon_H35 zenon_H33 zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H5b zenon_Hb7.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.10/1.27  apply (zenon_L48_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H29 | zenon_intro zenon_H38 ].
% 1.10/1.27  apply (zenon_L432_); trivial.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H34 | zenon_intro zenon_H36 ].
% 1.10/1.27  exact (zenon_H33 zenon_H34).
% 1.10/1.27  exact (zenon_H35 zenon_H36).
% 1.10/1.27  (* end of lemma zenon_L433_ *)
% 1.10/1.27  assert (zenon_L434_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H4e zenon_H1ca zenon_H1d9 zenon_H111 zenon_H13a zenon_H141 zenon_H13f zenon_H1b9 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H10e zenon_Hb7 zenon_H5b zenon_H1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H33 zenon_H37 zenon_Hca zenon_H189 zenon_H187 zenon_H4b zenon_H158 zenon_H154 zenon_H1db zenon_H165.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.27  apply (zenon_L433_); trivial.
% 1.10/1.27  apply (zenon_L164_); trivial.
% 1.10/1.27  apply (zenon_L167_); trivial.
% 1.10/1.27  apply (zenon_L168_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.27  apply (zenon_L433_); trivial.
% 1.10/1.27  apply (zenon_L173_); trivial.
% 1.10/1.27  apply (zenon_L86_); trivial.
% 1.10/1.27  apply (zenon_L87_); trivial.
% 1.10/1.27  (* end of lemma zenon_L434_ *)
% 1.10/1.27  assert (zenon_L435_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a2478))) -> (~(hskp20)) -> (ndr1_0) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp19)) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H8d zenon_H1f2 zenon_Hb zenon_H1f1 zenon_Hd7 zenon_Ha zenon_H275 zenon_H274 zenon_H276 zenon_Hd9 zenon_H35.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 1.10/1.27  apply (zenon_L193_); trivial.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 1.10/1.27  apply (zenon_L425_); trivial.
% 1.10/1.27  exact (zenon_H35 zenon_H36).
% 1.10/1.27  (* end of lemma zenon_L435_ *)
% 1.10/1.27  assert (zenon_L436_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H141 zenon_H13f zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H1f1 zenon_H1f2 zenon_Hd9 zenon_Hd7 zenon_H276 zenon_H275 zenon_H274 zenon_H35 zenon_H8d zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.10/1.27  apply (zenon_L140_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ].
% 1.10/1.27  apply (zenon_L435_); trivial.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.10/1.27  apply (zenon_L82_); trivial.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.10/1.27  apply (zenon_L432_); trivial.
% 1.10/1.27  apply (zenon_L76_); trivial.
% 1.10/1.27  exact (zenon_H13f zenon_H140).
% 1.10/1.27  (* end of lemma zenon_L436_ *)
% 1.10/1.27  assert (zenon_L437_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hd7 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.10/1.27  apply (zenon_L141_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.10/1.27  apply (zenon_L192_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.10/1.27  apply (zenon_L48_); trivial.
% 1.10/1.27  apply (zenon_L436_); trivial.
% 1.10/1.27  (* end of lemma zenon_L437_ *)
% 1.10/1.27  assert (zenon_L438_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.27  apply (zenon_L437_); trivial.
% 1.10/1.27  apply (zenon_L155_); trivial.
% 1.10/1.27  (* end of lemma zenon_L438_ *)
% 1.10/1.27  assert (zenon_L439_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a zenon_H1ae zenon_H145 zenon_H1b9 zenon_H4b.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.27  apply (zenon_L438_); trivial.
% 1.10/1.27  apply (zenon_L148_); trivial.
% 1.10/1.27  apply (zenon_L150_); trivial.
% 1.10/1.27  (* end of lemma zenon_L439_ *)
% 1.10/1.27  assert (zenon_L440_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H165 zenon_H158 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H107 zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1db zenon_H4b zenon_H1b9 zenon_H1ae zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.27  apply (zenon_L439_); trivial.
% 1.10/1.27  apply (zenon_L180_); trivial.
% 1.10/1.27  (* end of lemma zenon_L440_ *)
% 1.10/1.27  assert (zenon_L441_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H111 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H35 zenon_H8d.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.27  apply (zenon_L426_); trivial.
% 1.10/1.27  apply (zenon_L155_); trivial.
% 1.10/1.27  (* end of lemma zenon_L441_ *)
% 1.10/1.27  assert (zenon_L442_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H1ce zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.27  apply (zenon_L441_); trivial.
% 1.10/1.27  apply (zenon_L86_); trivial.
% 1.10/1.27  (* end of lemma zenon_L442_ *)
% 1.10/1.27  assert (zenon_L443_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a zenon_Hc zenon_Hd zenon_He zenon_H4b.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.27  apply (zenon_L437_); trivial.
% 1.10/1.27  apply (zenon_L387_); trivial.
% 1.10/1.27  apply (zenon_L86_); trivial.
% 1.10/1.27  apply (zenon_L205_); trivial.
% 1.10/1.27  (* end of lemma zenon_L443_ *)
% 1.10/1.27  assert (zenon_L444_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H285 zenon_H1cd zenon_H1c6 zenon_H1ed zenon_H1cb zenon_H201 zenon_H1ae zenon_H1db zenon_H189 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_H1a3 zenon_H18d zenon_H19f zenon_H19d zenon_H1a1 zenon_H178 zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H6e zenon_H97 zenon_H8d zenon_H98 zenon_H7 zenon_H17 zenon_H95 zenon_H16f zenon_H147 zenon_H154 zenon_H158 zenon_H165 zenon_H141 zenon_H13f zenon_Hb3 zenon_Hb1 zenon_Haf zenon_Ha3 zenon_Hca zenon_Hc6 zenon_Hb7 zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_H105 zenon_H107 zenon_H10e zenon_H111 zenon_H13e zenon_H13a zenon_H139 zenon_H12a zenon_H126 zenon_H117 zenon_H286.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.10/1.27  apply (zenon_L348_); trivial.
% 1.10/1.27  apply (zenon_L431_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.10/1.27  apply (zenon_L4_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.27  apply (zenon_L433_); trivial.
% 1.10/1.27  apply (zenon_L138_); trivial.
% 1.10/1.27  apply (zenon_L86_); trivial.
% 1.10/1.27  apply (zenon_L87_); trivial.
% 1.10/1.27  apply (zenon_L25_); trivial.
% 1.10/1.27  apply (zenon_L45_); trivial.
% 1.10/1.27  apply (zenon_L114_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.27  apply (zenon_L434_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.27  apply (zenon_L440_); trivial.
% 1.10/1.27  apply (zenon_L87_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.27  apply (zenon_L434_); trivial.
% 1.10/1.27  apply (zenon_L442_); trivial.
% 1.10/1.27  apply (zenon_L25_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.27  apply (zenon_L199_); trivial.
% 1.10/1.27  apply (zenon_L443_); trivial.
% 1.10/1.27  apply (zenon_L430_); trivial.
% 1.10/1.27  apply (zenon_L115_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_L216_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.27  apply (zenon_L426_); trivial.
% 1.10/1.27  apply (zenon_L213_); trivial.
% 1.10/1.27  apply (zenon_L86_); trivial.
% 1.10/1.27  apply (zenon_L168_); trivial.
% 1.10/1.27  apply (zenon_L214_); trivial.
% 1.10/1.27  apply (zenon_L115_); trivial.
% 1.10/1.27  apply (zenon_L223_); trivial.
% 1.10/1.27  apply (zenon_L224_); trivial.
% 1.10/1.27  apply (zenon_L431_); trivial.
% 1.10/1.27  (* end of lemma zenon_L444_ *)
% 1.10/1.27  assert (zenon_L445_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(hskp20)) -> (ndr1_0) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp19)) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H8d zenon_H52 zenon_H51 zenon_H50 zenon_Hd7 zenon_Ha zenon_H275 zenon_H274 zenon_H276 zenon_Hd9 zenon_H35.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 1.10/1.27  apply (zenon_L22_); trivial.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 1.10/1.27  apply (zenon_L425_); trivial.
% 1.10/1.27  exact (zenon_H35 zenon_H36).
% 1.10/1.27  (* end of lemma zenon_L445_ *)
% 1.10/1.27  assert (zenon_L446_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (ndr1_0) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H1ca zenon_H21c zenon_H111 zenon_H1b9 zenon_H145 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H59 zenon_H18d zenon_Ha zenon_H50 zenon_H51 zenon_H52 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.27  apply (zenon_L445_); trivial.
% 1.10/1.27  apply (zenon_L147_); trivial.
% 1.10/1.27  apply (zenon_L148_); trivial.
% 1.10/1.27  apply (zenon_L241_); trivial.
% 1.10/1.27  (* end of lemma zenon_L446_ *)
% 1.10/1.27  assert (zenon_L447_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H43 zenon_H107 zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H21c zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.27  apply (zenon_L31_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.27  apply (zenon_L446_); trivial.
% 1.10/1.27  apply (zenon_L293_); trivial.
% 1.10/1.27  (* end of lemma zenon_L447_ *)
% 1.10/1.27  assert (zenon_L448_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H43 zenon_H107 zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H21c zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.27  apply (zenon_L240_); trivial.
% 1.10/1.27  apply (zenon_L447_); trivial.
% 1.10/1.27  (* end of lemma zenon_L448_ *)
% 1.10/1.27  assert (zenon_L449_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H6d zenon_H13e zenon_H1cd zenon_H4e zenon_H247 zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_H1ca zenon_H1c6 zenon_H43 zenon_H1a zenon_H1b zenon_H1c zenon_H1b9 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H139 zenon_H165.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.27  apply (zenon_L237_); trivial.
% 1.10/1.27  apply (zenon_L100_); trivial.
% 1.10/1.27  apply (zenon_L270_); trivial.
% 1.10/1.27  (* end of lemma zenon_L449_ *)
% 1.10/1.27  assert (zenon_L450_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H96 zenon_H247 zenon_H139 zenon_H1c6 zenon_H7c zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H111 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H1cd zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.27  apply (zenon_L235_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.27  apply (zenon_L236_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_L238_); trivial.
% 1.10/1.27  apply (zenon_L448_); trivial.
% 1.10/1.27  apply (zenon_L449_); trivial.
% 1.10/1.27  (* end of lemma zenon_L450_ *)
% 1.10/1.27  assert (zenon_L451_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H80 zenon_H62 zenon_H4b zenon_H46 zenon_H3 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1a zenon_H1b zenon_H1c zenon_H1b9 zenon_H107 zenon_H165.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.27  apply (zenon_L236_); trivial.
% 1.10/1.27  apply (zenon_L35_); trivial.
% 1.10/1.27  (* end of lemma zenon_L451_ *)
% 1.10/1.27  assert (zenon_L452_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H98 zenon_H46 zenon_H3 zenon_H97 zenon_H6e zenon_H15 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H13e zenon_H1cd zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H111 zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H1c6 zenon_H139 zenon_H247 zenon_H96.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.27  apply (zenon_L450_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.27  apply (zenon_L235_); trivial.
% 1.10/1.27  apply (zenon_L451_); trivial.
% 1.10/1.27  (* end of lemma zenon_L452_ *)
% 1.10/1.27  assert (zenon_L453_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H178 zenon_H96 zenon_H247 zenon_H139 zenon_H1c6 zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H111 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H1cd zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H6e zenon_H97 zenon_H46 zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.10/1.27  apply (zenon_L227_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.10/1.27  apply (zenon_L452_); trivial.
% 1.10/1.27  apply (zenon_L37_); trivial.
% 1.10/1.27  (* end of lemma zenon_L453_ *)
% 1.10/1.27  assert (zenon_L454_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H4b zenon_H1ae zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H145 zenon_H1b7 zenon_H1b9 zenon_H111.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.27  apply (zenon_L426_); trivial.
% 1.10/1.27  apply (zenon_L147_); trivial.
% 1.10/1.27  apply (zenon_L148_); trivial.
% 1.10/1.27  (* end of lemma zenon_L454_ *)
% 1.10/1.27  assert (zenon_L455_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H1b9 zenon_H145 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H59 zenon_H18d zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H8d zenon_H1ae zenon_H4b.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.27  apply (zenon_L454_); trivial.
% 1.10/1.27  apply (zenon_L168_); trivial.
% 1.10/1.27  (* end of lemma zenon_L455_ *)
% 1.10/1.27  assert (zenon_L456_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.27  apply (zenon_L240_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.27  apply (zenon_L40_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.27  apply (zenon_L455_); trivial.
% 1.10/1.27  apply (zenon_L232_); trivial.
% 1.10/1.27  (* end of lemma zenon_L456_ *)
% 1.10/1.27  assert (zenon_L457_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_L52_); trivial.
% 1.10/1.27  apply (zenon_L456_); trivial.
% 1.10/1.27  apply (zenon_L25_); trivial.
% 1.10/1.27  apply (zenon_L28_); trivial.
% 1.10/1.27  (* end of lemma zenon_L457_ *)
% 1.10/1.27  assert (zenon_L458_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H98 zenon_H139 zenon_H105 zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62 zenon_H19d zenon_H21c zenon_H7e zenon_H237 zenon_H1e0 zenon_H23a zenon_H1c6 zenon_H12a zenon_H126 zenon_H117 zenon_H3 zenon_H46 zenon_H247 zenon_H96.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.27  apply (zenon_L457_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_L264_); trivial.
% 1.10/1.27  apply (zenon_L456_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_L264_); trivial.
% 1.10/1.27  apply (zenon_L448_); trivial.
% 1.10/1.27  apply (zenon_L271_); trivial.
% 1.10/1.27  apply (zenon_L278_); trivial.
% 1.10/1.27  (* end of lemma zenon_L458_ *)
% 1.10/1.27  assert (zenon_L459_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.27  apply (zenon_L240_); trivial.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.27  apply (zenon_L455_); trivial.
% 1.10/1.27  apply (zenon_L214_); trivial.
% 1.10/1.27  (* end of lemma zenon_L459_ *)
% 1.10/1.27  assert (zenon_L460_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H13e zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H25 zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H19d zenon_H18d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_L285_); trivial.
% 1.10/1.27  apply (zenon_L459_); trivial.
% 1.10/1.27  (* end of lemma zenon_L460_ *)
% 1.10/1.27  assert (zenon_L461_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H5d zenon_H13e zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H21c zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H19d zenon_H18d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.27  apply (zenon_L285_); trivial.
% 1.10/1.27  apply (zenon_L448_); trivial.
% 1.10/1.27  (* end of lemma zenon_L461_ *)
% 1.10/1.27  assert (zenon_L462_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H92 zenon_H98 zenon_H147 zenon_H154 zenon_H158 zenon_H126 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_H97 zenon_H6e zenon_H15 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H13e zenon_H1cd zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H111 zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H1c6 zenon_H139 zenon_H247 zenon_H96.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.27  apply (zenon_L450_); trivial.
% 1.10/1.27  apply (zenon_L307_); trivial.
% 1.10/1.27  (* end of lemma zenon_L462_ *)
% 1.10/1.27  assert (zenon_L463_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H175 zenon_H95 zenon_H147 zenon_H154 zenon_H158 zenon_H126 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H111 zenon_H139 zenon_H247 zenon_H96 zenon_H13e zenon_H1cd zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H1c6 zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97 zenon_H8d zenon_H46 zenon_H4b zenon_H98.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.10/1.27  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.10/1.27  apply (zenon_L248_); trivial.
% 1.10/1.27  apply (zenon_L462_); trivial.
% 1.10/1.27  (* end of lemma zenon_L463_ *)
% 1.10/1.27  assert (zenon_L464_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False).
% 1.10/1.27  do 0 intro. intros zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H35 zenon_H8d.
% 1.10/1.27  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.27  apply (zenon_L426_); trivial.
% 1.10/1.27  apply (zenon_L313_); trivial.
% 1.10/1.27  (* end of lemma zenon_L464_ *)
% 1.10/1.27  assert (zenon_L465_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.28  apply (zenon_L464_); trivial.
% 1.10/1.28  apply (zenon_L86_); trivial.
% 1.10/1.28  apply (zenon_L442_); trivial.
% 1.10/1.28  (* end of lemma zenon_L465_ *)
% 1.10/1.28  assert (zenon_L466_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c0_1 (a2410)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H13e zenon_Hc zenon_Hd zenon_He zenon_H13a zenon_H189 zenon_Hb7 zenon_H5b zenon_H1 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H12a zenon_Hca zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_H59 zenon_H18d zenon_H117 zenon_H1ed zenon_H1e8 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H1ae zenon_H1b9 zenon_H4b zenon_H107 zenon_H165 zenon_H1cd.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.28  apply (zenon_L311_); trivial.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.28  apply (zenon_L439_); trivial.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.28  apply (zenon_L438_); trivial.
% 1.10/1.28  apply (zenon_L292_); trivial.
% 1.10/1.28  apply (zenon_L465_); trivial.
% 1.10/1.28  (* end of lemma zenon_L466_ *)
% 1.10/1.28  assert (zenon_L467_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_H1cd zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H1ae zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e8 zenon_H1ed zenon_H117 zenon_H18d zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca zenon_Hca zenon_H12a zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a zenon_He zenon_Hd zenon_Hc zenon_H13e.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.28  apply (zenon_L466_); trivial.
% 1.10/1.28  apply (zenon_L45_); trivial.
% 1.10/1.28  (* end of lemma zenon_L467_ *)
% 1.10/1.28  assert (zenon_L468_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.28  apply (zenon_L31_); trivial.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.28  apply (zenon_L333_); trivial.
% 1.10/1.28  apply (zenon_L150_); trivial.
% 1.10/1.28  apply (zenon_L232_); trivial.
% 1.10/1.28  (* end of lemma zenon_L468_ *)
% 1.10/1.28  assert (zenon_L469_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_Hc3 zenon_H43 zenon_H1c6 zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.28  apply (zenon_L31_); trivial.
% 1.10/1.28  apply (zenon_L284_); trivial.
% 1.10/1.28  (* end of lemma zenon_L469_ *)
% 1.10/1.28  assert (zenon_L470_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H1cd zenon_H4e zenon_Hb3 zenon_H65 zenon_H64 zenon_H66 zenon_H1ca zenon_H1c6 zenon_H111 zenon_H107 zenon_H43 zenon_H1b9 zenon_H117 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H4b zenon_H1db zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H158 zenon_H165 zenon_Hca zenon_H12a zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.28  apply (zenon_L311_); trivial.
% 1.10/1.28  apply (zenon_L206_); trivial.
% 1.10/1.28  (* end of lemma zenon_L470_ *)
% 1.10/1.28  assert (zenon_L471_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c0_1 (a2410)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H105 zenon_H13e zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1d9 zenon_H1ca zenon_H1c6 zenon_H111 zenon_H141 zenon_H13f zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H147 zenon_H139 zenon_H1ed zenon_H1e8 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H201 zenon_H158 zenon_H1ae zenon_H18d zenon_H1cd zenon_H62.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.28  apply (zenon_L339_); trivial.
% 1.10/1.28  apply (zenon_L465_); trivial.
% 1.10/1.28  apply (zenon_L115_); trivial.
% 1.10/1.28  apply (zenon_L344_); trivial.
% 1.10/1.28  (* end of lemma zenon_L471_ *)
% 1.10/1.28  assert (zenon_L472_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.28  apply (zenon_L464_); trivial.
% 1.10/1.28  apply (zenon_L19_); trivial.
% 1.10/1.28  (* end of lemma zenon_L472_ *)
% 1.10/1.28  assert (zenon_L473_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H21c zenon_H1ca.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.28  apply (zenon_L446_); trivial.
% 1.10/1.28  apply (zenon_L214_); trivial.
% 1.10/1.28  (* end of lemma zenon_L473_ *)
% 1.10/1.28  assert (zenon_L474_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c1_1 (a2417))) -> (c1_1 (a2410)) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H19f zenon_H66 zenon_H64 zenon_H184 zenon_H65 zenon_H191 zenon_H18f zenon_H190 zenon_Ha zenon_H123.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.10/1.28  apply (zenon_L186_); trivial.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.10/1.28  apply (zenon_L132_); trivial.
% 1.10/1.28  exact (zenon_H123 zenon_H124).
% 1.10/1.28  (* end of lemma zenon_L474_ *)
% 1.10/1.28  assert (zenon_L475_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp28)) -> (~(hskp9)) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H247 zenon_H7c zenon_Haf zenon_H2c zenon_H2b zenon_H2a zenon_H23a zenon_H123 zenon_Ha zenon_H190 zenon_H191 zenon_H65 zenon_H64 zenon_H66 zenon_H19f zenon_H229 zenon_H3.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ].
% 1.10/1.28  apply (zenon_L43_); trivial.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ].
% 1.10/1.28  apply (zenon_L13_); trivial.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H184 | zenon_intro zenon_H23b ].
% 1.10/1.28  apply (zenon_L474_); trivial.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H22a | zenon_intro zenon_H4 ].
% 1.10/1.28  exact (zenon_H229 zenon_H22a).
% 1.10/1.28  exact (zenon_H3 zenon_H4).
% 1.10/1.28  (* end of lemma zenon_L475_ *)
% 1.10/1.28  assert (zenon_L476_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c3_1 (a2406)) -> (c2_1 (a2406)) -> (c1_1 (a2406)) -> (ndr1_0) -> (~(hskp10)) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H1a1 zenon_H1e8 zenon_H191 zenon_H190 zenon_H18f zenon_H22d zenon_H22c zenon_H22b zenon_Ha zenon_H7c.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ].
% 1.10/1.28  apply (zenon_L322_); trivial.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ].
% 1.10/1.28  apply (zenon_L254_); trivial.
% 1.10/1.28  exact (zenon_H7c zenon_H7d).
% 1.10/1.28  (* end of lemma zenon_L476_ *)
% 1.10/1.28  assert (zenon_L477_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp10)) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H234 zenon_H247 zenon_H43 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H2c zenon_H2b zenon_H2a zenon_H1a1 zenon_H1e8 zenon_H191 zenon_H190 zenon_H7c.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ].
% 1.10/1.28  apply (zenon_L81_); trivial.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ].
% 1.10/1.28  apply (zenon_L13_); trivial.
% 1.10/1.28  apply (zenon_L476_); trivial.
% 1.10/1.28  (* end of lemma zenon_L477_ *)
% 1.10/1.28  assert (zenon_L478_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> (c0_1 (a2410)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H6d zenon_H1cd zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_H237 zenon_H1e8 zenon_H1a1 zenon_H43 zenon_H107 zenon_Haf zenon_H23a zenon_H3 zenon_H190 zenon_H191 zenon_H19f zenon_H247 zenon_H189 zenon_H13a zenon_H4e.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.28  apply (zenon_L31_); trivial.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.10/1.28  apply (zenon_L475_); trivial.
% 1.10/1.28  apply (zenon_L477_); trivial.
% 1.10/1.28  apply (zenon_L126_); trivial.
% 1.10/1.28  apply (zenon_L269_); trivial.
% 1.10/1.28  (* end of lemma zenon_L478_ *)
% 1.10/1.28  assert (zenon_L479_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H92 zenon_H98 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H13e zenon_H1cd zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H13f zenon_H141 zenon_H4b zenon_H7e zenon_H1c6 zenon_H96.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.28  apply (zenon_L345_); trivial.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.28  apply (zenon_L238_); trivial.
% 1.10/1.28  apply (zenon_L465_); trivial.
% 1.10/1.28  apply (zenon_L45_); trivial.
% 1.10/1.28  apply (zenon_L347_); trivial.
% 1.10/1.28  (* end of lemma zenon_L479_ *)
% 1.10/1.28  assert (zenon_L480_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H13e zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H217 zenon_H15 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_H1e0 zenon_H10e zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165 zenon_H1cd.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.28  apply (zenon_L406_); trivial.
% 1.10/1.28  apply (zenon_L459_); trivial.
% 1.10/1.28  (* end of lemma zenon_L480_ *)
% 1.10/1.28  assert (zenon_L481_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H13a zenon_H139 zenon_H145 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H255 zenon_H143 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.10/1.28  apply (zenon_L360_); trivial.
% 1.10/1.28  apply (zenon_L94_); trivial.
% 1.10/1.28  (* end of lemma zenon_L481_ *)
% 1.10/1.28  assert (zenon_L482_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H165 zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.10/1.28  apply (zenon_L481_); trivial.
% 1.10/1.28  apply (zenon_L96_); trivial.
% 1.10/1.28  apply (zenon_L100_); trivial.
% 1.10/1.28  (* end of lemma zenon_L482_ *)
% 1.10/1.28  assert (zenon_L483_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H6d zenon_H13e zenon_H1cd zenon_H4e zenon_H247 zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H189 zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H147 zenon_H139 zenon_H13a zenon_H165.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.28  apply (zenon_L482_); trivial.
% 1.10/1.28  apply (zenon_L270_); trivial.
% 1.10/1.28  (* end of lemma zenon_L483_ *)
% 1.10/1.28  assert (zenon_L484_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp23)) -> (~(hskp14)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H270 zenon_H123 zenon_Hc3 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H126 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H190 zenon_H1e8 zenon_H191.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H119 | zenon_intro zenon_H129 ].
% 1.10/1.28  apply (zenon_L144_); trivial.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H124 ].
% 1.10/1.28  exact (zenon_Hc3 zenon_Hc4).
% 1.10/1.28  exact (zenon_H123 zenon_H124).
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.10/1.28  apply (zenon_L349_); trivial.
% 1.10/1.28  apply (zenon_L191_); trivial.
% 1.10/1.28  (* end of lemma zenon_L484_ *)
% 1.10/1.28  assert (zenon_L485_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp29)) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H16f zenon_H35 zenon_Hd9 zenon_H276 zenon_H274 zenon_H275 zenon_H1f1 zenon_H1f2 zenon_H8d zenon_Hb1 zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd7 zenon_Hef zenon_Hed.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.10/1.28  apply (zenon_L435_); trivial.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.10/1.28  apply (zenon_L366_); trivial.
% 1.10/1.28  exact (zenon_Hed zenon_Hee).
% 1.10/1.28  (* end of lemma zenon_L485_ *)
% 1.10/1.28  assert (zenon_L486_ : ((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H1fd zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H8d zenon_H35 zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_H12d zenon_H12c zenon_H12b zenon_H1ae zenon_H16f.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.10/1.28  apply (zenon_L485_); trivial.
% 1.10/1.28  apply (zenon_L177_); trivial.
% 1.10/1.28  (* end of lemma zenon_L486_ *)
% 1.10/1.28  assert (zenon_L487_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H13b zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.10/1.28  apply (zenon_L192_); trivial.
% 1.10/1.28  apply (zenon_L486_); trivial.
% 1.10/1.28  (* end of lemma zenon_L487_ *)
% 1.10/1.28  assert (zenon_L488_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H13a zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H35 zenon_H1ed zenon_H126 zenon_Hc3 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.10/1.28  apply (zenon_L484_); trivial.
% 1.10/1.28  apply (zenon_L487_); trivial.
% 1.10/1.28  (* end of lemma zenon_L488_ *)
% 1.10/1.28  assert (zenon_L489_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hc3 zenon_H126 zenon_H1ed zenon_H35 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201 zenon_H13a.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.28  apply (zenon_L488_); trivial.
% 1.10/1.28  apply (zenon_L155_); trivial.
% 1.10/1.28  (* end of lemma zenon_L489_ *)
% 1.10/1.28  assert (zenon_L490_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hc3 zenon_H126 zenon_H1ed zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H13a zenon_H145 zenon_H1b9 zenon_H4b.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.28  apply (zenon_L489_); trivial.
% 1.10/1.28  apply (zenon_L148_); trivial.
% 1.10/1.28  apply (zenon_L150_); trivial.
% 1.10/1.28  (* end of lemma zenon_L490_ *)
% 1.10/1.28  assert (zenon_L491_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H13a zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.28  apply (zenon_L490_); trivial.
% 1.10/1.28  apply (zenon_L214_); trivial.
% 1.10/1.28  (* end of lemma zenon_L491_ *)
% 1.10/1.28  assert (zenon_L492_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H111 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H35 zenon_H8d.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.28  apply (zenon_L426_); trivial.
% 1.10/1.28  apply (zenon_L356_); trivial.
% 1.10/1.28  (* end of lemma zenon_L492_ *)
% 1.10/1.28  assert (zenon_L493_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H1ce zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.28  apply (zenon_L441_); trivial.
% 1.10/1.28  apply (zenon_L409_); trivial.
% 1.10/1.28  (* end of lemma zenon_L493_ *)
% 1.10/1.28  assert (zenon_L494_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H13e zenon_H1d9 zenon_H25 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H1ed zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165 zenon_H1cd.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.28  apply (zenon_L362_); trivial.
% 1.10/1.28  apply (zenon_L491_); trivial.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.28  apply (zenon_L492_); trivial.
% 1.10/1.28  apply (zenon_L167_); trivial.
% 1.10/1.28  apply (zenon_L168_); trivial.
% 1.10/1.28  apply (zenon_L214_); trivial.
% 1.10/1.28  apply (zenon_L493_); trivial.
% 1.10/1.28  (* end of lemma zenon_L494_ *)
% 1.10/1.28  assert (zenon_L495_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H1ce zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_H18d zenon_H59 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H111.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.28  apply (zenon_L445_); trivial.
% 1.10/1.28  apply (zenon_L408_); trivial.
% 1.10/1.28  apply (zenon_L409_); trivial.
% 1.10/1.28  (* end of lemma zenon_L495_ *)
% 1.10/1.28  assert (zenon_L496_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H111 zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_H37 zenon_H33 zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b zenon_H4e.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.28  apply (zenon_L384_); trivial.
% 1.10/1.28  apply (zenon_L495_); trivial.
% 1.10/1.28  (* end of lemma zenon_L496_ *)
% 1.10/1.28  assert (zenon_L497_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H96 zenon_H1c6 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H1ed zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H201 zenon_H107 zenon_H4e zenon_H37 zenon_H7e zenon_H62 zenon_H1cd zenon_H165 zenon_H1db zenon_H4b zenon_H1b9 zenon_H10e zenon_H1e0 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H5e zenon_Hd9 zenon_H13e zenon_Haf zenon_H7c zenon_Hb3 zenon_H97.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.28  apply (zenon_L381_); trivial.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.28  apply (zenon_L494_); trivial.
% 1.10/1.28  apply (zenon_L496_); trivial.
% 1.10/1.28  apply (zenon_L45_); trivial.
% 1.10/1.28  (* end of lemma zenon_L497_ *)
% 1.10/1.28  assert (zenon_L498_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H4b zenon_Hca zenon_H270 zenon_H105 zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H189 zenon_H187 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H201 zenon_H158.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.10/1.28  apply (zenon_L361_); trivial.
% 1.10/1.28  apply (zenon_L196_); trivial.
% 1.10/1.28  apply (zenon_L389_); trivial.
% 1.10/1.28  (* end of lemma zenon_L498_ *)
% 1.10/1.28  assert (zenon_L499_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2478)) -> (~(c0_1 (a2478))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp29)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H35 zenon_H86 zenon_H85 zenon_H84 zenon_H1f2 zenon_H1f1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_Hed zenon_H16f zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hba zenon_Hbb zenon_Hbc zenon_H19d.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.10/1.28  apply (zenon_L140_); trivial.
% 1.10/1.28  apply (zenon_L395_); trivial.
% 1.10/1.28  (* end of lemma zenon_L499_ *)
% 1.10/1.28  assert (zenon_L500_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H10d zenon_H201 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H43 zenon_H107 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H16f zenon_H65 zenon_H64 zenon_H66 zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.10/1.28  apply (zenon_L192_); trivial.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.10/1.28  apply (zenon_L48_); trivial.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.10/1.28  apply (zenon_L499_); trivial.
% 1.10/1.28  apply (zenon_L161_); trivial.
% 1.10/1.28  (* end of lemma zenon_L500_ *)
% 1.10/1.28  assert (zenon_L501_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H117 zenon_H10e zenon_H1e0 zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_Hb3 zenon_H19d zenon_H25 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H105 zenon_H270 zenon_Hca zenon_H4b.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.28  apply (zenon_L498_); trivial.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.28  apply (zenon_L488_); trivial.
% 1.10/1.28  apply (zenon_L500_); trivial.
% 1.10/1.28  apply (zenon_L389_); trivial.
% 1.10/1.28  apply (zenon_L168_); trivial.
% 1.10/1.28  apply (zenon_L390_); trivial.
% 1.10/1.28  (* end of lemma zenon_L501_ *)
% 1.10/1.28  assert (zenon_L502_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H4e zenon_H117 zenon_H10e zenon_H1e0 zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_Hb3 zenon_H19d zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H105 zenon_H270 zenon_Hca zenon_H4b zenon_H139 zenon_Hc zenon_Hd zenon_He zenon_H13e.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.28  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.28  apply (zenon_L501_); trivial.
% 1.10/1.28  apply (zenon_L404_); trivial.
% 1.10/1.28  apply (zenon_L405_); trivial.
% 1.10/1.28  (* end of lemma zenon_L502_ *)
% 1.10/1.28  assert (zenon_L503_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.28  do 0 intro. intros zenon_H62 zenon_H86 zenon_H85 zenon_H84 zenon_H1cd zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H1d9 zenon_H13e.
% 1.10/1.28  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.28  apply (zenon_L494_); trivial.
% 1.10/1.28  apply (zenon_L410_); trivial.
% 1.10/1.28  (* end of lemma zenon_L503_ *)
% 1.10/1.28  assert (zenon_L504_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H13e zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Ha3 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_H19d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1cd.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.29  apply (zenon_L376_); trivial.
% 1.10/1.29  apply (zenon_L456_); trivial.
% 1.10/1.29  (* end of lemma zenon_L504_ *)
% 1.10/1.29  assert (zenon_L505_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H4b zenon_H1b9 zenon_H13a zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.29  apply (zenon_L490_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.29  apply (zenon_L489_); trivial.
% 1.10/1.29  apply (zenon_L292_); trivial.
% 1.10/1.29  apply (zenon_L150_); trivial.
% 1.10/1.29  (* end of lemma zenon_L505_ *)
% 1.10/1.29  assert (zenon_L506_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H13e zenon_H5e zenon_H13a zenon_H189 zenon_Hb7 zenon_H5b zenon_H1 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H12a zenon_Hca zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_H117 zenon_H59 zenon_H18d zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H1ed zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1b9 zenon_H4b zenon_H107 zenon_H165 zenon_H1cd.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.29  apply (zenon_L311_); trivial.
% 1.10/1.29  apply (zenon_L505_); trivial.
% 1.10/1.29  apply (zenon_L414_); trivial.
% 1.10/1.29  (* end of lemma zenon_L506_ *)
% 1.10/1.29  assert (zenon_L507_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.29  apply (zenon_L334_); trivial.
% 1.10/1.29  apply (zenon_L232_); trivial.
% 1.10/1.29  (* end of lemma zenon_L507_ *)
% 1.10/1.29  assert (zenon_L508_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H4b zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.29  apply (zenon_L464_); trivial.
% 1.10/1.29  apply (zenon_L382_); trivial.
% 1.10/1.29  (* end of lemma zenon_L508_ *)
% 1.10/1.29  assert (zenon_L509_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H1ae zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H24c zenon_H24d zenon_H24e zenon_H1e8 zenon_H270 zenon_H4b.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.29  apply (zenon_L508_); trivial.
% 1.10/1.29  apply (zenon_L493_); trivial.
% 1.10/1.29  (* end of lemma zenon_L509_ *)
% 1.10/1.29  assert (zenon_L510_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H1b9 zenon_H13a zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H126 zenon_Hc3 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.29  apply (zenon_L490_); trivial.
% 1.10/1.29  apply (zenon_L232_); trivial.
% 1.10/1.29  (* end of lemma zenon_L510_ *)
% 1.10/1.29  assert (zenon_L511_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H1b9 zenon_H13a zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.29  apply (zenon_L31_); trivial.
% 1.10/1.29  apply (zenon_L510_); trivial.
% 1.10/1.29  (* end of lemma zenon_L511_ *)
% 1.10/1.29  assert (zenon_L512_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H96 zenon_H4e zenon_H1d9 zenon_H7e zenon_H62 zenon_H13e zenon_H5e zenon_H13a zenon_H189 zenon_Hb7 zenon_H1 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H12a zenon_Hca zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_H117 zenon_H18d zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H1ed zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1b9 zenon_H4b zenon_H107 zenon_H165 zenon_H1cd zenon_Haf zenon_H7c zenon_Hb3 zenon_H97.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.29  apply (zenon_L506_); trivial.
% 1.10/1.29  apply (zenon_L45_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.29  apply (zenon_L31_); trivial.
% 1.10/1.29  apply (zenon_L507_); trivial.
% 1.10/1.29  apply (zenon_L505_); trivial.
% 1.10/1.29  apply (zenon_L509_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.29  apply (zenon_L445_); trivial.
% 1.10/1.29  apply (zenon_L313_); trivial.
% 1.10/1.29  apply (zenon_L382_); trivial.
% 1.10/1.29  apply (zenon_L511_); trivial.
% 1.10/1.29  apply (zenon_L509_); trivial.
% 1.10/1.29  apply (zenon_L45_); trivial.
% 1.10/1.29  (* end of lemma zenon_L512_ *)
% 1.10/1.29  assert (zenon_L513_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H13e zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H158 zenon_H201 zenon_H10e zenon_H1e0 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_Hca zenon_H19f zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca zenon_H270 zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H1cd.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.29  apply (zenon_L421_); trivial.
% 1.10/1.29  apply (zenon_L491_); trivial.
% 1.10/1.29  apply (zenon_L509_); trivial.
% 1.10/1.29  (* end of lemma zenon_L513_ *)
% 1.10/1.29  assert (zenon_L514_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46)))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H1bb zenon_Ha zenon_H83 zenon_H28a zenon_H28b zenon_H28c.
% 1.10/1.29  generalize (zenon_H1bb (a2404)). zenon_intro zenon_H28d.
% 1.10/1.29  apply (zenon_imply_s _ _ zenon_H28d); [ zenon_intro zenon_H9 | zenon_intro zenon_H28e ].
% 1.10/1.29  exact (zenon_H9 zenon_Ha).
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H290 | zenon_intro zenon_H28f ].
% 1.10/1.29  generalize (zenon_H83 (a2404)). zenon_intro zenon_H291.
% 1.10/1.29  apply (zenon_imply_s _ _ zenon_H291); [ zenon_intro zenon_H9 | zenon_intro zenon_H292 ].
% 1.10/1.29  exact (zenon_H9 zenon_Ha).
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H294 | zenon_intro zenon_H293 ].
% 1.10/1.29  exact (zenon_H28a zenon_H294).
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H296 | zenon_intro zenon_H295 ].
% 1.10/1.29  exact (zenon_H28b zenon_H296).
% 1.10/1.29  exact (zenon_H295 zenon_H290).
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H297 | zenon_intro zenon_H296 ].
% 1.10/1.29  exact (zenon_H28c zenon_H297).
% 1.10/1.29  exact (zenon_H28b zenon_H296).
% 1.10/1.29  (* end of lemma zenon_L514_ *)
% 1.10/1.29  assert (zenon_L515_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp19)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp20)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H21c zenon_H35 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_Hd7 zenon_Hcc zenon_Hcd zenon_Hda zenon_Hd9 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 1.10/1.29  apply (zenon_L56_); trivial.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 1.10/1.29  apply (zenon_L514_); trivial.
% 1.10/1.29  exact (zenon_H35 zenon_H36).
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.10/1.29  apply (zenon_L56_); trivial.
% 1.10/1.29  apply (zenon_L139_); trivial.
% 1.10/1.29  (* end of lemma zenon_L515_ *)
% 1.10/1.29  assert (zenon_L516_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H1ce zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.29  apply (zenon_L515_); trivial.
% 1.10/1.29  apply (zenon_L155_); trivial.
% 1.10/1.29  apply (zenon_L86_); trivial.
% 1.10/1.29  (* end of lemma zenon_L516_ *)
% 1.10/1.29  assert (zenon_L517_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_H111 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_H1 zenon_H5b zenon_Hb7 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H21c zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.29  apply (zenon_L515_); trivial.
% 1.10/1.29  apply (zenon_L387_); trivial.
% 1.10/1.29  apply (zenon_L86_); trivial.
% 1.10/1.29  apply (zenon_L205_); trivial.
% 1.10/1.29  (* end of lemma zenon_L517_ *)
% 1.10/1.29  assert (zenon_L518_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H4b zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H145 zenon_H1b7 zenon_H1b9 zenon_H111.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.29  apply (zenon_L515_); trivial.
% 1.10/1.29  apply (zenon_L147_); trivial.
% 1.10/1.29  apply (zenon_L148_); trivial.
% 1.10/1.29  (* end of lemma zenon_L518_ *)
% 1.10/1.29  assert (zenon_L519_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H1b9 zenon_H145 zenon_H59 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_H1ae zenon_H4b.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.29  apply (zenon_L518_); trivial.
% 1.10/1.29  apply (zenon_L168_); trivial.
% 1.10/1.29  (* end of lemma zenon_L519_ *)
% 1.10/1.29  assert (zenon_L520_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.29  apply (zenon_L519_); trivial.
% 1.10/1.29  apply (zenon_L214_); trivial.
% 1.10/1.29  (* end of lemma zenon_L520_ *)
% 1.10/1.29  assert (zenon_L521_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H234 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hbc zenon_Hbb zenon_Hba.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.10/1.29  apply (zenon_L33_); trivial.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.10/1.29  apply (zenon_L49_); trivial.
% 1.10/1.29  apply (zenon_L254_); trivial.
% 1.10/1.29  (* end of lemma zenon_L521_ *)
% 1.10/1.29  assert (zenon_L522_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (c2_1 (a2411)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_Hca zenon_H237 zenon_H105 zenon_H8d zenon_H35 zenon_H86 zenon_H85 zenon_H84 zenon_H9b zenon_H9a zenon_H9c zenon_Hcc zenon_Hcd zenon_Hd7 zenon_Hd9 zenon_H227 zenon_H238 zenon_H1 zenon_H5b zenon_Hb7.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.10/1.29  apply (zenon_L48_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H21e | zenon_intro zenon_H239 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 1.10/1.29  apply (zenon_L251_); trivial.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 1.10/1.29  apply (zenon_L33_); trivial.
% 1.10/1.29  exact (zenon_H35 zenon_H36).
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H228 | zenon_intro zenon_H22a ].
% 1.10/1.29  exact (zenon_H227 zenon_H228).
% 1.10/1.29  exact (zenon_H229 zenon_H22a).
% 1.10/1.29  apply (zenon_L521_); trivial.
% 1.10/1.29  (* end of lemma zenon_L522_ *)
% 1.10/1.29  assert (zenon_L523_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H6d zenon_H62 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4e zenon_H165 zenon_H1db zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H154 zenon_H201 zenon_H158 zenon_H1b9 zenon_H12a zenon_H1cb zenon_H117 zenon_H189 zenon_H139 zenon_H1d9 zenon_H1ca zenon_H111 zenon_H10e zenon_H27 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_Hb3 zenon_H238 zenon_H227 zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H105 zenon_H237 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H19d zenon_H1cd zenon_H13e.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.29  apply (zenon_L52_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.29  apply (zenon_L522_); trivial.
% 1.10/1.29  apply (zenon_L387_); trivial.
% 1.10/1.29  apply (zenon_L86_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.29  apply (zenon_L522_); trivial.
% 1.10/1.29  apply (zenon_L329_); trivial.
% 1.10/1.29  apply (zenon_L167_); trivial.
% 1.10/1.29  apply (zenon_L168_); trivial.
% 1.10/1.29  apply (zenon_L198_); trivial.
% 1.10/1.29  apply (zenon_L517_); trivial.
% 1.10/1.29  apply (zenon_L115_); trivial.
% 1.10/1.29  (* end of lemma zenon_L523_ *)
% 1.10/1.29  assert (zenon_L524_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> (~(hskp19)) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H8d zenon_H52 zenon_H51 zenon_H50 zenon_H28c zenon_H28b zenon_H28a zenon_Ha zenon_H1bb zenon_H35.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 1.10/1.29  apply (zenon_L22_); trivial.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 1.10/1.29  apply (zenon_L514_); trivial.
% 1.10/1.29  exact (zenon_H35 zenon_H36).
% 1.10/1.29  (* end of lemma zenon_L524_ *)
% 1.10/1.29  assert (zenon_L525_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp19)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H21c zenon_H35 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H52 zenon_H51 zenon_H50 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.10/1.29  apply (zenon_L524_); trivial.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.10/1.29  apply (zenon_L22_); trivial.
% 1.10/1.29  apply (zenon_L139_); trivial.
% 1.10/1.29  (* end of lemma zenon_L525_ *)
% 1.10/1.29  assert (zenon_L526_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H1ca zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_H50 zenon_H51 zenon_H52 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H59 zenon_H145 zenon_H1b9 zenon_H111 zenon_H4b.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.29  apply (zenon_L525_); trivial.
% 1.10/1.29  apply (zenon_L148_); trivial.
% 1.10/1.29  apply (zenon_L241_); trivial.
% 1.10/1.29  (* end of lemma zenon_L526_ *)
% 1.10/1.29  assert (zenon_L527_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H43 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_H1ca.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.29  apply (zenon_L526_); trivial.
% 1.10/1.29  apply (zenon_L232_); trivial.
% 1.10/1.29  (* end of lemma zenon_L527_ *)
% 1.10/1.29  assert (zenon_L528_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H107 zenon_H43 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.29  apply (zenon_L31_); trivial.
% 1.10/1.29  apply (zenon_L527_); trivial.
% 1.10/1.29  (* end of lemma zenon_L528_ *)
% 1.10/1.29  assert (zenon_L529_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H96 zenon_H247 zenon_H139 zenon_H1c6 zenon_H7c zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H4b zenon_H1cd zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.29  apply (zenon_L235_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.29  apply (zenon_L236_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.29  apply (zenon_L238_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.29  apply (zenon_L240_); trivial.
% 1.10/1.29  apply (zenon_L528_); trivial.
% 1.10/1.29  apply (zenon_L449_); trivial.
% 1.10/1.29  (* end of lemma zenon_L529_ *)
% 1.10/1.29  assert (zenon_L530_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H98 zenon_H46 zenon_H3 zenon_H97 zenon_H6e zenon_H15 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H13e zenon_H1cd zenon_H4b zenon_H111 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H1c6 zenon_H139 zenon_H247 zenon_H96.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.29  apply (zenon_L529_); trivial.
% 1.10/1.29  apply (zenon_L247_); trivial.
% 1.10/1.29  (* end of lemma zenon_L530_ *)
% 1.10/1.29  assert (zenon_L531_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H178 zenon_H96 zenon_H247 zenon_H139 zenon_H1c6 zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H4b zenon_H1cd zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H6e zenon_H97 zenon_H46 zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.10/1.29  apply (zenon_L227_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.10/1.29  apply (zenon_L530_); trivial.
% 1.10/1.29  apply (zenon_L37_); trivial.
% 1.10/1.29  (* end of lemma zenon_L531_ *)
% 1.10/1.29  assert (zenon_L532_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.29  apply (zenon_L40_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.29  apply (zenon_L519_); trivial.
% 1.10/1.29  apply (zenon_L232_); trivial.
% 1.10/1.29  (* end of lemma zenon_L532_ *)
% 1.10/1.29  assert (zenon_L533_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.29  apply (zenon_L240_); trivial.
% 1.10/1.29  apply (zenon_L532_); trivial.
% 1.10/1.29  (* end of lemma zenon_L533_ *)
% 1.10/1.29  assert (zenon_L534_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.29  apply (zenon_L52_); trivial.
% 1.10/1.29  apply (zenon_L533_); trivial.
% 1.10/1.29  apply (zenon_L25_); trivial.
% 1.10/1.29  apply (zenon_L28_); trivial.
% 1.10/1.29  (* end of lemma zenon_L534_ *)
% 1.10/1.29  assert (zenon_L535_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H107 zenon_H43 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H111 zenon_H1b9 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.29  apply (zenon_L40_); trivial.
% 1.10/1.29  apply (zenon_L527_); trivial.
% 1.10/1.29  (* end of lemma zenon_L535_ *)
% 1.10/1.29  assert (zenon_L536_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H111 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H59 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.29  apply (zenon_L281_); trivial.
% 1.10/1.29  apply (zenon_L535_); trivial.
% 1.10/1.29  (* end of lemma zenon_L536_ *)
% 1.10/1.29  assert (zenon_L537_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H43 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H111 zenon_H1b9 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.29  apply (zenon_L240_); trivial.
% 1.10/1.29  apply (zenon_L535_); trivial.
% 1.10/1.29  (* end of lemma zenon_L537_ *)
% 1.10/1.29  assert (zenon_L538_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H5d zenon_H13e zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.29  apply (zenon_L536_); trivial.
% 1.10/1.29  apply (zenon_L537_); trivial.
% 1.10/1.29  (* end of lemma zenon_L538_ *)
% 1.10/1.29  assert (zenon_L539_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H98 zenon_H139 zenon_H105 zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62 zenon_H237 zenon_H1e0 zenon_H23a zenon_H1c6 zenon_H12a zenon_H126 zenon_H117 zenon_H3 zenon_H46 zenon_H247 zenon_H7e zenon_H96.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.29  apply (zenon_L534_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.29  apply (zenon_L264_); trivial.
% 1.10/1.29  apply (zenon_L533_); trivial.
% 1.10/1.29  apply (zenon_L538_); trivial.
% 1.10/1.29  apply (zenon_L271_); trivial.
% 1.10/1.29  apply (zenon_L278_); trivial.
% 1.10/1.29  (* end of lemma zenon_L539_ *)
% 1.10/1.29  assert (zenon_L540_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.29  apply (zenon_L240_); trivial.
% 1.10/1.29  apply (zenon_L520_); trivial.
% 1.10/1.29  (* end of lemma zenon_L540_ *)
% 1.10/1.29  assert (zenon_L541_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H13e zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H25 zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H19d zenon_H18d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.29  apply (zenon_L285_); trivial.
% 1.10/1.29  apply (zenon_L540_); trivial.
% 1.10/1.29  (* end of lemma zenon_L541_ *)
% 1.10/1.29  assert (zenon_L542_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H95 zenon_Hb1 zenon_Hb3 zenon_H13f zenon_H141 zenon_H10e zenon_H16f zenon_H19d zenon_H158 zenon_H154 zenon_H147 zenon_H96 zenon_H7e zenon_H247 zenon_H46 zenon_H117 zenon_H126 zenon_H12a zenon_H1c6 zenon_H23a zenon_H1e0 zenon_H237 zenon_H62 zenon_H5e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H1b9 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H1ae zenon_H4b zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H6e zenon_H97 zenon_H105 zenon_H139 zenon_H98.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.10/1.29  apply (zenon_L539_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.29  apply (zenon_L534_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.29  apply (zenon_L541_); trivial.
% 1.10/1.29  apply (zenon_L538_); trivial.
% 1.10/1.29  apply (zenon_L363_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.29  apply (zenon_L534_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.29  apply (zenon_L541_); trivial.
% 1.10/1.29  apply (zenon_L115_); trivial.
% 1.10/1.29  apply (zenon_L110_); trivial.
% 1.10/1.29  (* end of lemma zenon_L542_ *)
% 1.10/1.29  assert (zenon_L543_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.10/1.29  do 0 intro. intros zenon_H175 zenon_H95 zenon_H147 zenon_H154 zenon_H158 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H96 zenon_H247 zenon_H139 zenon_H1c6 zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H4b zenon_H1cd zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97 zenon_H46 zenon_H98.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.10/1.29  apply (zenon_L530_); trivial.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.10/1.29  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.10/1.29  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.29  apply (zenon_L529_); trivial.
% 1.10/1.29  apply (zenon_L307_); trivial.
% 1.10/1.29  (* end of lemma zenon_L543_ *)
% 1.10/1.29  assert (zenon_L544_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H59 zenon_H5b zenon_H5e zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_L315_); trivial.
% 1.10/1.30  apply (zenon_L516_); trivial.
% 1.10/1.30  (* end of lemma zenon_L544_ *)
% 1.10/1.30  assert (zenon_L545_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H1cb zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H18d zenon_H59 zenon_H111 zenon_H1c6 zenon_H7c zenon_H7e zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_L335_); trivial.
% 1.10/1.30  apply (zenon_L469_); trivial.
% 1.10/1.30  (* end of lemma zenon_L545_ *)
% 1.10/1.30  assert (zenon_L546_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a2478))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> (~(hskp19)) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H8d zenon_H1f2 zenon_Hb zenon_H1f1 zenon_H28c zenon_H28b zenon_H28a zenon_Ha zenon_H1bb zenon_H35.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 1.10/1.30  apply (zenon_L193_); trivial.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 1.10/1.30  apply (zenon_L514_); trivial.
% 1.10/1.30  exact (zenon_H35 zenon_H36).
% 1.10/1.30  (* end of lemma zenon_L546_ *)
% 1.10/1.30  assert (zenon_L547_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp19)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a2478))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H21c zenon_H35 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1f2 zenon_Hb zenon_H1f1 zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H191 zenon_H190 zenon_Ha zenon_H123.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.10/1.30  apply (zenon_L546_); trivial.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.10/1.30  apply (zenon_L193_); trivial.
% 1.10/1.30  apply (zenon_L317_); trivial.
% 1.10/1.30  (* end of lemma zenon_L547_ *)
% 1.10/1.30  assert (zenon_L548_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp23)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H16f zenon_H123 zenon_H190 zenon_H191 zenon_H19f zenon_H1f1 zenon_H1f2 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H35 zenon_H21c zenon_H75 zenon_H74 zenon_Ha6 zenon_H73 zenon_Ha zenon_Hed.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.10/1.30  apply (zenon_L547_); trivial.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.10/1.30  apply (zenon_L102_); trivial.
% 1.10/1.30  exact (zenon_Hed zenon_Hee).
% 1.10/1.30  (* end of lemma zenon_L548_ *)
% 1.10/1.30  assert (zenon_L549_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H111 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_Hca zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H16f zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H2a zenon_H2b zenon_H2c zenon_H247 zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed zenon_H187 zenon_H189 zenon_H13a.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.10/1.30  apply (zenon_L192_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ].
% 1.10/1.30  apply (zenon_L548_); trivial.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ].
% 1.10/1.30  apply (zenon_L13_); trivial.
% 1.10/1.30  apply (zenon_L317_); trivial.
% 1.10/1.30  apply (zenon_L177_); trivial.
% 1.10/1.30  apply (zenon_L126_); trivial.
% 1.10/1.30  apply (zenon_L313_); trivial.
% 1.10/1.30  (* end of lemma zenon_L549_ *)
% 1.10/1.30  assert (zenon_L550_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H145 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H247 zenon_H2c zenon_H2b zenon_H2a zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.30  apply (zenon_L549_); trivial.
% 1.10/1.30  apply (zenon_L167_); trivial.
% 1.10/1.30  (* end of lemma zenon_L550_ *)
% 1.10/1.30  assert (zenon_L551_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H247 zenon_H21c zenon_H19f zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.30  apply (zenon_L31_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.30  apply (zenon_L550_); trivial.
% 1.10/1.30  apply (zenon_L168_); trivial.
% 1.10/1.30  apply (zenon_L232_); trivial.
% 1.10/1.30  (* end of lemma zenon_L551_ *)
% 1.10/1.30  assert (zenon_L552_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H1ca.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.30  apply (zenon_L526_); trivial.
% 1.10/1.30  apply (zenon_L214_); trivial.
% 1.10/1.30  (* end of lemma zenon_L552_ *)
% 1.10/1.30  assert (zenon_L553_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H1cd zenon_H111 zenon_H59 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_Hca zenon_H1b9 zenon_H4b zenon_H1cb zenon_H107 zenon_H165 zenon_H4e.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_L468_); trivial.
% 1.10/1.30  apply (zenon_L552_); trivial.
% 1.10/1.30  (* end of lemma zenon_L553_ *)
% 1.10/1.30  assert (zenon_L554_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H4e zenon_H165 zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H247 zenon_H21c zenon_H19f zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H1a1 zenon_H43 zenon_H107 zenon_H52 zenon_H51 zenon_H50 zenon_He zenon_Hd zenon_Hc zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.30  apply (zenon_L31_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.30  apply (zenon_L550_); trivial.
% 1.10/1.30  apply (zenon_L325_); trivial.
% 1.10/1.30  apply (zenon_L214_); trivial.
% 1.10/1.30  (* end of lemma zenon_L554_ *)
% 1.10/1.30  assert (zenon_L555_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H1ae zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_L342_); trivial.
% 1.10/1.30  apply (zenon_L520_); trivial.
% 1.10/1.30  (* end of lemma zenon_L555_ *)
% 1.10/1.30  assert (zenon_L556_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp19)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a2478))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H21c zenon_H35 zenon_H28a zenon_H28b zenon_H28c zenon_H50 zenon_H51 zenon_H52 zenon_H8d zenon_H1f2 zenon_Hb zenon_H1f1 zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H191 zenon_H190 zenon_Ha zenon_H123.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.10/1.30  apply (zenon_L524_); trivial.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.10/1.30  apply (zenon_L193_); trivial.
% 1.10/1.30  apply (zenon_L317_); trivial.
% 1.10/1.30  (* end of lemma zenon_L556_ *)
% 1.10/1.30  assert (zenon_L557_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp23)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H16f zenon_H123 zenon_H190 zenon_H191 zenon_H19f zenon_H1f1 zenon_H1f2 zenon_H8d zenon_H52 zenon_H51 zenon_H50 zenon_H28c zenon_H28b zenon_H28a zenon_H35 zenon_H21c zenon_H75 zenon_H74 zenon_Ha6 zenon_H73 zenon_Ha zenon_Hed.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.10/1.30  apply (zenon_L556_); trivial.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.10/1.30  apply (zenon_L102_); trivial.
% 1.10/1.30  exact (zenon_Hed zenon_Hee).
% 1.10/1.30  (* end of lemma zenon_L557_ *)
% 1.10/1.30  assert (zenon_L558_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp29)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp19)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (~(c0_1 (a2478))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H247 zenon_Hed zenon_H21c zenon_H35 zenon_H28a zenon_H28b zenon_H28c zenon_H50 zenon_H51 zenon_H52 zenon_H8d zenon_H1f2 zenon_H1f1 zenon_H16f zenon_H2c zenon_H2b zenon_H2a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H191 zenon_H190 zenon_Ha zenon_H123.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ].
% 1.10/1.30  apply (zenon_L557_); trivial.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ].
% 1.10/1.30  apply (zenon_L13_); trivial.
% 1.10/1.30  apply (zenon_L317_); trivial.
% 1.10/1.30  (* end of lemma zenon_L558_ *)
% 1.10/1.30  assert (zenon_L559_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H145 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H247 zenon_H2c zenon_H2b zenon_H2a zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H50 zenon_H51 zenon_H52 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.10/1.30  apply (zenon_L192_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.10/1.30  apply (zenon_L558_); trivial.
% 1.10/1.30  apply (zenon_L177_); trivial.
% 1.10/1.30  apply (zenon_L126_); trivial.
% 1.10/1.30  apply (zenon_L313_); trivial.
% 1.10/1.30  apply (zenon_L167_); trivial.
% 1.10/1.30  (* end of lemma zenon_L559_ *)
% 1.10/1.30  assert (zenon_L560_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H247 zenon_H2c zenon_H2b zenon_H2a zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H50 zenon_H51 zenon_H52 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1bc zenon_H1bd zenon_H1be zenon_H107 zenon_H43 zenon_H7c zenon_H1a1 zenon_H10e zenon_H201.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.10/1.30  apply (zenon_L192_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.10/1.30  apply (zenon_L558_); trivial.
% 1.10/1.30  apply (zenon_L324_); trivial.
% 1.10/1.30  apply (zenon_L126_); trivial.
% 1.10/1.30  (* end of lemma zenon_L560_ *)
% 1.10/1.30  assert (zenon_L561_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H4a zenon_H165 zenon_H1cb zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H247 zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H50 zenon_H51 zenon_H52 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H107 zenon_H43 zenon_H7c zenon_H1a1 zenon_H3 zenon_H46 zenon_H1ca.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.30  apply (zenon_L559_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.30  apply (zenon_L560_); trivial.
% 1.10/1.30  apply (zenon_L19_); trivial.
% 1.10/1.30  apply (zenon_L232_); trivial.
% 1.10/1.30  (* end of lemma zenon_L561_ *)
% 1.10/1.30  assert (zenon_L562_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2411)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H35 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hb7 zenon_H5b zenon_H1 zenon_H238 zenon_H227 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H9c zenon_H9a zenon_H9b zenon_H59 zenon_H5e zenon_H7c zenon_H1a1 zenon_H237 zenon_Hca.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.30  apply (zenon_L256_); trivial.
% 1.10/1.30  apply (zenon_L313_); trivial.
% 1.10/1.30  (* end of lemma zenon_L562_ *)
% 1.10/1.30  assert (zenon_L563_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_Hca zenon_H237 zenon_H1a1 zenon_H7c zenon_H5e zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H227 zenon_H238 zenon_H1 zenon_H5b zenon_Hb7 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.30  apply (zenon_L40_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.30  apply (zenon_L562_); trivial.
% 1.10/1.30  apply (zenon_L167_); trivial.
% 1.10/1.30  apply (zenon_L168_); trivial.
% 1.10/1.30  apply (zenon_L232_); trivial.
% 1.10/1.30  (* end of lemma zenon_L563_ *)
% 1.10/1.30  assert (zenon_L564_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H1ae zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H1ca zenon_H46 zenon_H3 zenon_H1a1 zenon_H7c zenon_H43 zenon_H107 zenon_H111 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_Hca zenon_H201 zenon_H10e zenon_H1e0 zenon_H16f zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H247 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H189 zenon_H13a zenon_H1b9 zenon_H4b zenon_H1cb zenon_H165 zenon_H4e.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.30  apply (zenon_L40_); trivial.
% 1.10/1.30  apply (zenon_L561_); trivial.
% 1.10/1.30  apply (zenon_L552_); trivial.
% 1.10/1.30  (* end of lemma zenon_L564_ *)
% 1.10/1.30  assert (zenon_L565_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.30  apply (zenon_L341_); trivial.
% 1.10/1.30  apply (zenon_L232_); trivial.
% 1.10/1.30  (* end of lemma zenon_L565_ *)
% 1.10/1.30  assert (zenon_L566_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.30  apply (zenon_L40_); trivial.
% 1.10/1.30  apply (zenon_L565_); trivial.
% 1.10/1.30  (* end of lemma zenon_L566_ *)
% 1.10/1.30  assert (zenon_L567_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H4a zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.30  apply (zenon_L204_); trivial.
% 1.10/1.30  apply (zenon_L19_); trivial.
% 1.10/1.30  (* end of lemma zenon_L567_ *)
% 1.10/1.30  assert (zenon_L568_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H21c zenon_H3 zenon_H46 zenon_H4b.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.30  apply (zenon_L515_); trivial.
% 1.10/1.30  apply (zenon_L70_); trivial.
% 1.10/1.30  apply (zenon_L19_); trivial.
% 1.10/1.30  apply (zenon_L567_); trivial.
% 1.10/1.30  (* end of lemma zenon_L568_ *)
% 1.10/1.30  assert (zenon_L569_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H19d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H4b zenon_H46 zenon_H3 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hd9 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H105 zenon_H43 zenon_H107 zenon_H25 zenon_H27 zenon_H10e zenon_H111 zenon_H1ca zenon_H1d9 zenon_Hca zenon_H139 zenon_H189 zenon_H117 zenon_H1cb zenon_H12a zenon_H1b9 zenon_H20b zenon_H20a zenon_H209 zenon_H165 zenon_H4e.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.30  apply (zenon_L72_); trivial.
% 1.10/1.30  apply (zenon_L330_); trivial.
% 1.10/1.30  apply (zenon_L568_); trivial.
% 1.10/1.30  (* end of lemma zenon_L569_ *)
% 1.10/1.30  assert (zenon_L570_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H75 zenon_H74 zenon_H73 zenon_H1ae zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1b9 zenon_H4b zenon_H1cb zenon_H107 zenon_H165 zenon_H4e.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_L566_); trivial.
% 1.10/1.30  apply (zenon_L520_); trivial.
% 1.10/1.30  (* end of lemma zenon_L570_ *)
% 1.10/1.30  assert (zenon_L571_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H13e zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1d9 zenon_H25 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_Ha3 zenon_H59 zenon_H1ca zenon_H1c6 zenon_H111 zenon_H1b9 zenon_H18d zenon_H23a zenon_H1e0 zenon_H1ae zenon_H237 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H1cd.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.30  apply (zenon_L264_); trivial.
% 1.10/1.30  apply (zenon_L570_); trivial.
% 1.10/1.30  (* end of lemma zenon_L571_ *)
% 1.10/1.30  assert (zenon_L572_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H158 zenon_H245 zenon_H227 zenon_H9c zenon_H9b zenon_H9a zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H19f zenon_H191 zenon_H190 zenon_H247 zenon_H139 zenon_H43 zenon_H145 zenon_H147 zenon_H13a zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H111.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.10/1.30  apply (zenon_L319_); trivial.
% 1.10/1.30  apply (zenon_L336_); trivial.
% 1.10/1.30  apply (zenon_L266_); trivial.
% 1.10/1.30  apply (zenon_L313_); trivial.
% 1.10/1.30  apply (zenon_L167_); trivial.
% 1.10/1.30  (* end of lemma zenon_L572_ *)
% 1.10/1.30  assert (zenon_L573_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_Hca zenon_H13a zenon_H147 zenon_H43 zenon_H139 zenon_H247 zenon_H190 zenon_H191 zenon_H19f zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H1e0 zenon_H10e zenon_H227 zenon_H245 zenon_H158 zenon_H1b9 zenon_H4b zenon_H1cb zenon_H107 zenon_H165 zenon_H4e.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.30  apply (zenon_L40_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.30  apply (zenon_L572_); trivial.
% 1.10/1.30  apply (zenon_L168_); trivial.
% 1.10/1.30  apply (zenon_L232_); trivial.
% 1.10/1.30  apply (zenon_L520_); trivial.
% 1.10/1.30  (* end of lemma zenon_L573_ *)
% 1.10/1.30  assert (zenon_L574_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_H13e zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H147 zenon_H139 zenon_H227 zenon_H245 zenon_H158 zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1d9 zenon_H1ca zenon_H7e zenon_H7c zenon_H1c6 zenon_H111 zenon_H18d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H1cb zenon_H4e zenon_H1cd zenon_H1a1 zenon_H1e8 zenon_H62.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.30  apply (zenon_L545_); trivial.
% 1.10/1.30  apply (zenon_L573_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.30  apply (zenon_L31_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.30  apply (zenon_L572_); trivial.
% 1.10/1.30  apply (zenon_L325_); trivial.
% 1.10/1.30  apply (zenon_L214_); trivial.
% 1.10/1.30  apply (zenon_L528_); trivial.
% 1.10/1.30  apply (zenon_L45_); trivial.
% 1.10/1.30  (* end of lemma zenon_L574_ *)
% 1.10/1.30  assert (zenon_L575_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H13e zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_H19d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1cd.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.30  apply (zenon_L376_); trivial.
% 1.10/1.30  apply (zenon_L540_); trivial.
% 1.10/1.30  (* end of lemma zenon_L575_ *)
% 1.10/1.30  assert (zenon_L576_ : ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H286 zenon_H139 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_Hca zenon_Hc6 zenon_Hb7 zenon_H13a zenon_H237 zenon_H105 zenon_H23a zenon_H217 zenon_H13e zenon_Ha3 zenon_Haf zenon_Hb1 zenon_Hb3 zenon_H247 zenon_H147 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H165 zenon_H1b9 zenon_H189 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H19d zenon_H16f zenon_H1ae zenon_H1cb zenon_Hef zenon_H1e0 zenon_H10e zenon_H1cd zenon_H111 zenon_H158 zenon_H267 zenon_H154 zenon_H257 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H18d zenon_Hd9 zenon_H1db zenon_H95 zenon_H17 zenon_H15 zenon_H7 zenon_H98 zenon_H8d zenon_H97 zenon_H6e zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H37 zenon_H27 zenon_H5e zenon_H62 zenon_H7e zenon_H96 zenon_H178.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.10/1.30  apply (zenon_L348_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.30  apply (zenon_L46_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.30  apply (zenon_L276_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.30  apply (zenon_L41_); trivial.
% 1.10/1.30  apply (zenon_L277_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.30  apply (zenon_L359_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.30  apply (zenon_L575_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_L362_); trivial.
% 1.10/1.30  apply (zenon_L552_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_L240_); trivial.
% 1.10/1.30  apply (zenon_L552_); trivial.
% 1.10/1.30  apply (zenon_L483_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.30  apply (zenon_L374_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.30  apply (zenon_L575_); trivial.
% 1.10/1.30  apply (zenon_L304_); trivial.
% 1.10/1.30  apply (zenon_L298_); trivial.
% 1.10/1.30  apply (zenon_L380_); trivial.
% 1.10/1.30  (* end of lemma zenon_L576_ *)
% 1.10/1.30  assert (zenon_L577_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H4b zenon_H270 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H19d zenon_H107 zenon_H43 zenon_H105 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H201 zenon_H111.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.30  apply (zenon_L515_); trivial.
% 1.10/1.30  apply (zenon_L500_); trivial.
% 1.10/1.30  apply (zenon_L389_); trivial.
% 1.10/1.30  (* end of lemma zenon_L577_ *)
% 1.10/1.30  assert (zenon_L578_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H111 zenon_H27 zenon_H25 zenon_H19d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H158 zenon_H154 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H43 zenon_H107 zenon_H105 zenon_H139 zenon_H10e zenon_Hca zenon_H201 zenon_H270 zenon_H4b.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_L397_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.30  apply (zenon_L577_); trivial.
% 1.10/1.30  apply (zenon_L403_); trivial.
% 1.10/1.30  (* end of lemma zenon_L578_ *)
% 1.10/1.30  assert (zenon_L579_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.30  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H117 zenon_H111 zenon_H27 zenon_H25 zenon_H19d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H158 zenon_H154 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H43 zenon_H107 zenon_H105 zenon_H139 zenon_H10e zenon_Hca zenon_H201 zenon_H270 zenon_H4b.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.30  apply (zenon_L397_); trivial.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.30  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.30  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.30  apply (zenon_L577_); trivial.
% 1.10/1.30  apply (zenon_L390_); trivial.
% 1.10/1.30  (* end of lemma zenon_L579_ *)
% 1.10/1.30  assert (zenon_L580_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H6d zenon_H62 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H270 zenon_H201 zenon_H10e zenon_H139 zenon_H105 zenon_H107 zenon_H43 zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H16f zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H154 zenon_H158 zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H19d zenon_H27 zenon_H111 zenon_H117 zenon_H4e zenon_H1cd zenon_H13e.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L52_); trivial.
% 1.10/1.31  apply (zenon_L579_); trivial.
% 1.10/1.31  apply (zenon_L405_); trivial.
% 1.10/1.31  (* end of lemma zenon_L580_ *)
% 1.10/1.31  assert (zenon_L581_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H153 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.10/1.31  apply (zenon_L192_); trivial.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 1.10/1.31  apply (zenon_L81_); trivial.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 1.10/1.31  apply (zenon_L194_); trivial.
% 1.10/1.31  apply (zenon_L95_); trivial.
% 1.10/1.31  (* end of lemma zenon_L581_ *)
% 1.10/1.31  assert (zenon_L582_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H165 zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H75 zenon_H74 zenon_H73 zenon_H147 zenon_H139 zenon_H13a zenon_H3 zenon_H46 zenon_H4b.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.10/1.31  apply (zenon_L481_); trivial.
% 1.10/1.31  apply (zenon_L581_); trivial.
% 1.10/1.31  apply (zenon_L19_); trivial.
% 1.10/1.31  apply (zenon_L100_); trivial.
% 1.10/1.31  (* end of lemma zenon_L582_ *)
% 1.10/1.31  assert (zenon_L583_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H109 zenon_H270 zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H43 zenon_H8d zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.10/1.31  apply (zenon_L68_); trivial.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.10/1.31  apply (zenon_L349_); trivial.
% 1.10/1.31  apply (zenon_L191_); trivial.
% 1.10/1.31  (* end of lemma zenon_L583_ *)
% 1.10/1.31  assert (zenon_L584_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H10d zenon_H158 zenon_H154 zenon_H73 zenon_H74 zenon_H75 zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H43 zenon_H107 zenon_H270 zenon_H10e zenon_H201.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.10/1.31  apply (zenon_L192_); trivial.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.10/1.31  apply (zenon_L396_); trivial.
% 1.10/1.31  apply (zenon_L583_); trivial.
% 1.10/1.31  apply (zenon_L581_); trivial.
% 1.10/1.31  (* end of lemma zenon_L584_ *)
% 1.10/1.31  assert (zenon_L585_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H6d zenon_H13e zenon_Hd9 zenon_H10e zenon_H270 zenon_H105 zenon_H16f zenon_H1cb zenon_Hb1 zenon_Hb3 zenon_H111 zenon_H4b zenon_H46 zenon_H3 zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H201 zenon_H158 zenon_H165.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L582_); trivial.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.31  apply (zenon_L57_); trivial.
% 1.10/1.31  apply (zenon_L584_); trivial.
% 1.10/1.31  apply (zenon_L19_); trivial.
% 1.10/1.31  (* end of lemma zenon_L585_ *)
% 1.10/1.31  assert (zenon_L586_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H187 zenon_H189 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.31  apply (zenon_L40_); trivial.
% 1.10/1.31  apply (zenon_L383_); trivial.
% 1.10/1.31  (* end of lemma zenon_L586_ *)
% 1.10/1.31  assert (zenon_L587_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H13e zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_Ha3 zenon_H37 zenon_H33 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4e zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_H19d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1cd.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L376_); trivial.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.31  apply (zenon_L586_); trivial.
% 1.10/1.31  apply (zenon_L520_); trivial.
% 1.10/1.31  (* end of lemma zenon_L587_ *)
% 1.10/1.31  assert (zenon_L588_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H97 zenon_H62 zenon_H4b zenon_H270 zenon_H201 zenon_H10e zenon_H139 zenon_H105 zenon_H107 zenon_H43 zenon_H189 zenon_H16f zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H19d zenon_H27 zenon_H117 zenon_H4e zenon_H1cd zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H5e zenon_Hd9 zenon_H12a zenon_H18d zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H111 zenon_H13e.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.31  apply (zenon_L358_); trivial.
% 1.10/1.31  apply (zenon_L580_); trivial.
% 1.10/1.31  (* end of lemma zenon_L588_ *)
% 1.10/1.31  assert (zenon_L589_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H13e zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_Ha3 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_H19d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1cd.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L376_); trivial.
% 1.10/1.31  apply (zenon_L533_); trivial.
% 1.10/1.31  (* end of lemma zenon_L589_ *)
% 1.10/1.31  assert (zenon_L590_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H95 zenon_H147 zenon_H154 zenon_H158 zenon_H19d zenon_H16f zenon_H24d zenon_H24c zenon_H24e zenon_Hb1 zenon_Hef zenon_H10e zenon_H96 zenon_H7e zenon_H247 zenon_H46 zenon_H117 zenon_H126 zenon_H12a zenon_H1c6 zenon_H23a zenon_H1e0 zenon_H237 zenon_H62 zenon_H5e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H1b9 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H1ae zenon_H4b zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H6e zenon_H97 zenon_H105 zenon_H139 zenon_H98.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.10/1.31  apply (zenon_L539_); trivial.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.31  apply (zenon_L534_); trivial.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.31  apply (zenon_L589_); trivial.
% 1.10/1.31  apply (zenon_L538_); trivial.
% 1.10/1.31  apply (zenon_L298_); trivial.
% 1.10/1.31  (* end of lemma zenon_L590_ *)
% 1.10/1.31  assert (zenon_L591_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H4a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_Hca zenon_H201 zenon_H10e zenon_H1e0 zenon_H16f zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H247 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H187 zenon_H189 zenon_H13a zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H4b.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.31  apply (zenon_L549_); trivial.
% 1.10/1.31  apply (zenon_L382_); trivial.
% 1.10/1.31  apply (zenon_L168_); trivial.
% 1.10/1.31  (* end of lemma zenon_L591_ *)
% 1.10/1.31  assert (zenon_L592_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H4e zenon_H165 zenon_H1cb zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H247 zenon_H21c zenon_H19f zenon_H50 zenon_H51 zenon_H52 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H107 zenon_H43 zenon_H1a1 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.31  apply (zenon_L31_); trivial.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.31  apply (zenon_L559_); trivial.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.31  apply (zenon_L560_); trivial.
% 1.10/1.31  apply (zenon_L382_); trivial.
% 1.10/1.31  apply (zenon_L232_); trivial.
% 1.10/1.31  (* end of lemma zenon_L592_ *)
% 1.10/1.31  assert (zenon_L593_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H13e zenon_H1cd zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H59 zenon_H5e zenon_H24c zenon_H24d zenon_H24e zenon_H1e8 zenon_H270 zenon_H4b zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L52_); trivial.
% 1.10/1.31  apply (zenon_L414_); trivial.
% 1.10/1.31  (* end of lemma zenon_L593_ *)
% 1.10/1.31  assert (zenon_L594_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H5e zenon_Hd9 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cd zenon_H13e.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.31  apply (zenon_L593_); trivial.
% 1.10/1.31  apply (zenon_L45_); trivial.
% 1.10/1.31  (* end of lemma zenon_L594_ *)
% 1.10/1.31  assert (zenon_L595_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H6d zenon_H62 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H270 zenon_H201 zenon_H10e zenon_H139 zenon_H105 zenon_H107 zenon_H43 zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H16f zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H154 zenon_H158 zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H19d zenon_H27 zenon_H111 zenon_H117 zenon_Hc zenon_Hd zenon_He zenon_H4e zenon_H1cd zenon_H13e.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L52_); trivial.
% 1.10/1.31  apply (zenon_L578_); trivial.
% 1.10/1.31  apply (zenon_L405_); trivial.
% 1.10/1.31  (* end of lemma zenon_L595_ *)
% 1.10/1.31  assert (zenon_L596_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H175 zenon_H95 zenon_H147 zenon_H154 zenon_H158 zenon_H126 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H96 zenon_H247 zenon_H139 zenon_H1c6 zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H4b zenon_H1cd zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97 zenon_H46 zenon_H98.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.10/1.31  apply (zenon_L530_); trivial.
% 1.10/1.31  apply (zenon_L462_); trivial.
% 1.10/1.31  (* end of lemma zenon_L596_ *)
% 1.10/1.31  assert (zenon_L597_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H1b9 zenon_H1ae zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.31  apply (zenon_L439_); trivial.
% 1.10/1.31  apply (zenon_L232_); trivial.
% 1.10/1.31  (* end of lemma zenon_L597_ *)
% 1.10/1.31  assert (zenon_L598_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H4a zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H1b9 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H117 zenon_Hef zenon_H189 zenon_H187 zenon_H43 zenon_H107 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H139 zenon_H10e zenon_Hca zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.31  apply (zenon_L426_); trivial.
% 1.10/1.31  apply (zenon_L329_); trivial.
% 1.10/1.31  apply (zenon_L167_); trivial.
% 1.10/1.31  apply (zenon_L168_); trivial.
% 1.10/1.31  apply (zenon_L232_); trivial.
% 1.10/1.31  (* end of lemma zenon_L598_ *)
% 1.10/1.31  assert (zenon_L599_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H19d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hb7 zenon_H5b zenon_H1 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H111 zenon_H1ca zenon_H1d9 zenon_H139 zenon_H189 zenon_H117 zenon_H1cb zenon_H12a zenon_H1b9 zenon_H20b zenon_H20a zenon_H209 zenon_H165 zenon_H4e.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.31  apply (zenon_L429_); trivial.
% 1.10/1.31  apply (zenon_L598_); trivial.
% 1.10/1.31  apply (zenon_L517_); trivial.
% 1.10/1.31  (* end of lemma zenon_L599_ *)
% 1.10/1.31  assert (zenon_L600_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H1b9 zenon_H1ae zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H1ca zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H43 zenon_H3 zenon_H46 zenon_H4b.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.31  apply (zenon_L472_); trivial.
% 1.10/1.31  apply (zenon_L552_); trivial.
% 1.10/1.31  (* end of lemma zenon_L600_ *)
% 1.10/1.31  assert (zenon_L601_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H62 zenon_H5e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_Ha3 zenon_H1ca zenon_H1d9 zenon_H1b9 zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H1ae zenon_H1cb zenon_H107 zenon_H165 zenon_H4e zenon_H1cd zenon_H13e.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L52_); trivial.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.31  apply (zenon_L472_); trivial.
% 1.10/1.31  apply (zenon_L532_); trivial.
% 1.10/1.31  apply (zenon_L25_); trivial.
% 1.10/1.31  (* end of lemma zenon_L601_ *)
% 1.10/1.31  assert (zenon_L602_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H5d zenon_H13e zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H3 zenon_H46 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L536_); trivial.
% 1.10/1.31  apply (zenon_L600_); trivial.
% 1.10/1.31  (* end of lemma zenon_L602_ *)
% 1.10/1.31  assert (zenon_L603_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H62 zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H237 zenon_H1ae zenon_H1e0 zenon_H23a zenon_H18d zenon_H1b9 zenon_H111 zenon_H1c6 zenon_H1ca zenon_H59 zenon_Ha3 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H1d9 zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H13e.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L264_); trivial.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.31  apply (zenon_L472_); trivial.
% 1.10/1.31  apply (zenon_L520_); trivial.
% 1.10/1.31  apply (zenon_L602_); trivial.
% 1.10/1.31  (* end of lemma zenon_L603_ *)
% 1.10/1.31  assert (zenon_L604_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H4e zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H1b9 zenon_H12a zenon_H1cb zenon_H117 zenon_H189 zenon_H187 zenon_H139 zenon_Hca zenon_H1d9 zenon_H1ca zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H8d zenon_H3 zenon_H46 zenon_H4b.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.31  apply (zenon_L427_); trivial.
% 1.10/1.31  apply (zenon_L598_); trivial.
% 1.10/1.31  (* end of lemma zenon_L604_ *)
% 1.10/1.31  assert (zenon_L605_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H3 zenon_H46 zenon_H4b.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.31  apply (zenon_L427_); trivial.
% 1.10/1.31  apply (zenon_L567_); trivial.
% 1.10/1.31  (* end of lemma zenon_L605_ *)
% 1.10/1.31  assert (zenon_L606_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H13e zenon_H1cd zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L52_); trivial.
% 1.10/1.31  apply (zenon_L465_); trivial.
% 1.10/1.31  (* end of lemma zenon_L606_ *)
% 1.10/1.31  assert (zenon_L607_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H13e zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H13f zenon_H141 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H19d zenon_H18d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L285_); trivial.
% 1.10/1.31  apply (zenon_L465_); trivial.
% 1.10/1.31  (* end of lemma zenon_L607_ *)
% 1.10/1.31  assert (zenon_L608_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H5d zenon_H13e zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L536_); trivial.
% 1.10/1.31  apply (zenon_L465_); trivial.
% 1.10/1.31  (* end of lemma zenon_L608_ *)
% 1.10/1.31  assert (zenon_L609_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H4e zenon_H117 zenon_H10e zenon_H1e0 zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_Hb3 zenon_H19d zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H105 zenon_H270 zenon_Hca zenon_H4b zenon_H139 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H13e.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L501_); trivial.
% 1.10/1.31  apply (zenon_L579_); trivial.
% 1.10/1.31  apply (zenon_L405_); trivial.
% 1.10/1.31  (* end of lemma zenon_L609_ *)
% 1.10/1.31  assert (zenon_L610_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H10d zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H35 zenon_H8d zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H64 zenon_H65 zenon_H66 zenon_Hb1 zenon_Hb3.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.10/1.31  apply (zenon_L104_); trivial.
% 1.10/1.31  apply (zenon_L583_); trivial.
% 1.10/1.31  (* end of lemma zenon_L610_ *)
% 1.10/1.31  assert (zenon_L611_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_H105 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H64 zenon_H65 zenon_H66 zenon_Hb1 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H8d zenon_H189 zenon_H187 zenon_H145 zenon_H1b9 zenon_H4b.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.31  apply (zenon_L426_); trivial.
% 1.10/1.31  apply (zenon_L610_); trivial.
% 1.10/1.31  apply (zenon_L167_); trivial.
% 1.10/1.31  apply (zenon_L168_); trivial.
% 1.10/1.31  (* end of lemma zenon_L611_ *)
% 1.10/1.31  assert (zenon_L612_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H147 zenon_H154 zenon_H158 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H64 zenon_H65 zenon_H66 zenon_Hb1 zenon_Hb3 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H189 zenon_H1b9 zenon_H4b zenon_H139 zenon_H165.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.31  apply (zenon_L611_); trivial.
% 1.10/1.31  apply (zenon_L100_); trivial.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.31  apply (zenon_L515_); trivial.
% 1.10/1.31  apply (zenon_L610_); trivial.
% 1.10/1.31  apply (zenon_L98_); trivial.
% 1.10/1.31  apply (zenon_L100_); trivial.
% 1.10/1.31  (* end of lemma zenon_L612_ *)
% 1.10/1.31  assert (zenon_L613_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.31  do 0 intro. intros zenon_H6d zenon_H62 zenon_H165 zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H4b zenon_H1b9 zenon_H189 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hb3 zenon_Hb1 zenon_H16f zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H10e zenon_H111 zenon_H1d9 zenon_H1ca zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1cd zenon_H13e.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.31  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.31  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.31  apply (zenon_L482_); trivial.
% 1.10/1.31  apply (zenon_L612_); trivial.
% 1.10/1.31  apply (zenon_L222_); trivial.
% 1.10/1.31  (* end of lemma zenon_L613_ *)
% 1.10/1.31  assert (zenon_L614_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H1ce zenon_H4b zenon_H46 zenon_H3 zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H201 zenon_H10e zenon_H270 zenon_H107 zenon_H43 zenon_H105 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H16f zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H75 zenon_H74 zenon_H73 zenon_H154 zenon_H158 zenon_H111.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.32  apply (zenon_L515_); trivial.
% 1.10/1.32  apply (zenon_L584_); trivial.
% 1.10/1.32  apply (zenon_L19_); trivial.
% 1.10/1.32  (* end of lemma zenon_L614_ *)
% 1.10/1.32  assert (zenon_L615_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H6d zenon_H62 zenon_H165 zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H147 zenon_H139 zenon_H13a zenon_H3 zenon_H46 zenon_H4b zenon_H1b9 zenon_H189 zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H10e zenon_H270 zenon_H105 zenon_H16f zenon_H1cb zenon_Hb1 zenon_Hb3 zenon_H111 zenon_H1d9 zenon_H1ca zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H1cd zenon_H13e.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.32  apply (zenon_L582_); trivial.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.32  apply (zenon_L426_); trivial.
% 1.10/1.32  apply (zenon_L584_); trivial.
% 1.10/1.32  apply (zenon_L167_); trivial.
% 1.10/1.32  apply (zenon_L168_); trivial.
% 1.10/1.32  apply (zenon_L214_); trivial.
% 1.10/1.32  apply (zenon_L614_); trivial.
% 1.10/1.32  apply (zenon_L35_); trivial.
% 1.10/1.32  (* end of lemma zenon_L615_ *)
% 1.10/1.32  assert (zenon_L616_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp20)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H21c zenon_H1be zenon_H1bd zenon_H1bc zenon_Hd7 zenon_Hcc zenon_Hcd zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.10/1.32  apply (zenon_L149_); trivial.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.10/1.32  apply (zenon_L424_); trivial.
% 1.10/1.32  apply (zenon_L139_); trivial.
% 1.10/1.32  (* end of lemma zenon_L616_ *)
% 1.10/1.32  assert (zenon_L617_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (ndr1_0) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H35 zenon_H59 zenon_H18d zenon_H12a zenon_Ha zenon_H1bc zenon_H1bd zenon_H1be zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.32  apply (zenon_L616_); trivial.
% 1.10/1.32  apply (zenon_L155_); trivial.
% 1.10/1.32  (* end of lemma zenon_L617_ *)
% 1.10/1.32  assert (zenon_L618_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H1c5 zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.32  apply (zenon_L617_); trivial.
% 1.10/1.32  apply (zenon_L409_); trivial.
% 1.10/1.32  (* end of lemma zenon_L618_ *)
% 1.10/1.32  assert (zenon_L619_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H4a zenon_H165 zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H1ca.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.32  apply (zenon_L454_); trivial.
% 1.10/1.32  apply (zenon_L618_); trivial.
% 1.10/1.32  apply (zenon_L385_); trivial.
% 1.10/1.32  (* end of lemma zenon_L619_ *)
% 1.10/1.32  assert (zenon_L620_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.32  apply (zenon_L40_); trivial.
% 1.10/1.32  apply (zenon_L619_); trivial.
% 1.10/1.32  (* end of lemma zenon_L620_ *)
% 1.10/1.32  assert (zenon_L621_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H13e zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H21c zenon_Ha3 zenon_H37 zenon_H33 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4e zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_H19d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1cd.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.32  apply (zenon_L376_); trivial.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.32  apply (zenon_L586_); trivial.
% 1.10/1.32  apply (zenon_L620_); trivial.
% 1.10/1.32  (* end of lemma zenon_L621_ *)
% 1.10/1.32  assert (zenon_L622_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H24c zenon_H24d zenon_H24e zenon_H1e8 zenon_H270 zenon_H4b.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.32  apply (zenon_L508_); trivial.
% 1.10/1.32  apply (zenon_L620_); trivial.
% 1.10/1.32  (* end of lemma zenon_L622_ *)
% 1.10/1.32  assert (zenon_L623_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_Ha3 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H24c zenon_H24d zenon_H24e zenon_H1e8 zenon_H270 zenon_H4b zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.32  apply (zenon_L52_); trivial.
% 1.10/1.32  apply (zenon_L622_); trivial.
% 1.10/1.32  (* end of lemma zenon_L623_ *)
% 1.10/1.32  assert (zenon_L624_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_Ha3 zenon_H1ca zenon_H21c zenon_H1b9 zenon_H1ae zenon_H1cb zenon_H165 zenon_H4e zenon_H1cd zenon_H13e.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.32  apply (zenon_L623_); trivial.
% 1.10/1.32  apply (zenon_L45_); trivial.
% 1.10/1.32  (* end of lemma zenon_L624_ *)
% 1.10/1.32  assert (zenon_L625_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H96 zenon_H201 zenon_H10e zenon_H1e0 zenon_Hef zenon_H16f zenon_H1ed zenon_H7e zenon_H1c6 zenon_H43 zenon_H126 zenon_H107 zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_Ha3 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H24c zenon_H24d zenon_H24e zenon_H1e8 zenon_H270 zenon_H4b zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Haf zenon_H7c zenon_Hb1 zenon_Hb3 zenon_H97.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.10/1.32  apply (zenon_L624_); trivial.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.32  apply (zenon_L281_); trivial.
% 1.10/1.32  apply (zenon_L511_); trivial.
% 1.10/1.32  apply (zenon_L622_); trivial.
% 1.10/1.32  apply (zenon_L45_); trivial.
% 1.10/1.32  (* end of lemma zenon_L625_ *)
% 1.10/1.32  assert (zenon_L626_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H13e zenon_H19f zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_Ha3 zenon_H59 zenon_H1ca zenon_H1c6 zenon_H111 zenon_H19d zenon_H18d zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1ed zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1b9 zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H1cd.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.32  apply (zenon_L260_); trivial.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.32  apply (zenon_L40_); trivial.
% 1.10/1.32  apply (zenon_L510_); trivial.
% 1.10/1.32  apply (zenon_L509_); trivial.
% 1.10/1.32  (* end of lemma zenon_L626_ *)
% 1.10/1.32  assert (zenon_L627_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.32  apply (zenon_L259_); trivial.
% 1.10/1.32  apply (zenon_L382_); trivial.
% 1.10/1.32  (* end of lemma zenon_L627_ *)
% 1.10/1.32  assert (zenon_L628_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H199 zenon_Ha zenon_H298 zenon_H299 zenon_H29a.
% 1.10/1.32  generalize (zenon_H199 (a2403)). zenon_intro zenon_H29b.
% 1.10/1.32  apply (zenon_imply_s _ _ zenon_H29b); [ zenon_intro zenon_H9 | zenon_intro zenon_H29c ].
% 1.10/1.32  exact (zenon_H9 zenon_Ha).
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H29e | zenon_intro zenon_H29d ].
% 1.10/1.32  exact (zenon_H298 zenon_H29e).
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H29f ].
% 1.10/1.32  exact (zenon_H299 zenon_H2a0).
% 1.10/1.32  exact (zenon_H29f zenon_H29a).
% 1.10/1.32  (* end of lemma zenon_L628_ *)
% 1.10/1.32  assert (zenon_L629_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H109 zenon_H2a1 zenon_H14c zenon_H14b zenon_H14a zenon_H29a zenon_H299 zenon_H298.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H149 | zenon_intro zenon_H2a2 ].
% 1.10/1.32  apply (zenon_L95_); trivial.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H199 | zenon_intro zenon_H1dd ].
% 1.10/1.32  apply (zenon_L628_); trivial.
% 1.10/1.32  apply (zenon_L176_); trivial.
% 1.10/1.32  (* end of lemma zenon_L629_ *)
% 1.10/1.32  assert (zenon_L630_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (c3_1 (a2432)) -> (c1_1 (a2432)) -> (~(c0_1 (a2432))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H187 zenon_H3c zenon_H3b zenon_H3a zenon_Hb1 zenon_Hef.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ].
% 1.10/1.32  apply (zenon_L166_); trivial.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ].
% 1.10/1.32  exact (zenon_Hed zenon_Hee).
% 1.10/1.32  exact (zenon_Hb1 zenon_Hb2).
% 1.10/1.32  apply (zenon_L629_); trivial.
% 1.10/1.32  (* end of lemma zenon_L630_ *)
% 1.10/1.32  assert (zenon_L631_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H45 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H187 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.10/1.32  apply (zenon_L97_); trivial.
% 1.10/1.32  apply (zenon_L630_); trivial.
% 1.10/1.32  (* end of lemma zenon_L631_ *)
% 1.10/1.32  assert (zenon_L632_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H187 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H33 zenon_H37.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.32  apply (zenon_L16_); trivial.
% 1.10/1.32  apply (zenon_L631_); trivial.
% 1.10/1.32  (* end of lemma zenon_L632_ *)
% 1.10/1.32  assert (zenon_L633_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H45 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H187 zenon_Hb1 zenon_Hef zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.10/1.32  apply (zenon_L169_); trivial.
% 1.10/1.32  apply (zenon_L630_); trivial.
% 1.10/1.32  (* end of lemma zenon_L633_ *)
% 1.10/1.32  assert (zenon_L634_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H4a zenon_H165 zenon_H5b zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H187 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.32  apply (zenon_L632_); trivial.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.32  apply (zenon_L16_); trivial.
% 1.10/1.32  apply (zenon_L633_); trivial.
% 1.10/1.32  (* end of lemma zenon_L634_ *)
% 1.10/1.32  assert (zenon_L635_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H187 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.32  apply (zenon_L12_); trivial.
% 1.10/1.32  apply (zenon_L634_); trivial.
% 1.10/1.32  (* end of lemma zenon_L635_ *)
% 1.10/1.32  assert (zenon_L636_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hf1 zenon_He2 zenon_He1 zenon_Hb1 zenon_Hef.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ].
% 1.10/1.32  apply (zenon_L145_); trivial.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ].
% 1.10/1.32  exact (zenon_Hed zenon_Hee).
% 1.10/1.32  exact (zenon_Hb1 zenon_Hb2).
% 1.10/1.32  apply (zenon_L629_); trivial.
% 1.10/1.32  (* end of lemma zenon_L636_ *)
% 1.10/1.32  assert (zenon_L637_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H45 zenon_H111 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H18d zenon_H59 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.32  apply (zenon_L143_); trivial.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.10/1.32  apply (zenon_L97_); trivial.
% 1.10/1.32  apply (zenon_L636_); trivial.
% 1.10/1.32  (* end of lemma zenon_L637_ *)
% 1.10/1.32  assert (zenon_L638_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H10d zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hb1 zenon_Hef zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.10/1.32  apply (zenon_L169_); trivial.
% 1.10/1.32  apply (zenon_L636_); trivial.
% 1.10/1.32  (* end of lemma zenon_L638_ *)
% 1.10/1.32  assert (zenon_L639_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H45 zenon_H111 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H18d zenon_H59 zenon_Hb1 zenon_Hef zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.10/1.32  apply (zenon_L143_); trivial.
% 1.10/1.32  apply (zenon_L638_); trivial.
% 1.10/1.32  (* end of lemma zenon_L639_ *)
% 1.10/1.32  assert (zenon_L640_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H162 zenon_H4b zenon_H111 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H18d zenon_H59 zenon_Hb1 zenon_Hef zenon_H5b zenon_H1db zenon_H1ae zenon_H12a zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.32  apply (zenon_L289_); trivial.
% 1.10/1.32  apply (zenon_L639_); trivial.
% 1.10/1.32  (* end of lemma zenon_L640_ *)
% 1.10/1.32  assert (zenon_L641_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H4a zenon_H165 zenon_H5b zenon_H1db zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H37 zenon_H33 zenon_H1ae zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H111 zenon_H4b.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.32  apply (zenon_L16_); trivial.
% 1.10/1.32  apply (zenon_L637_); trivial.
% 1.10/1.32  apply (zenon_L640_); trivial.
% 1.10/1.32  (* end of lemma zenon_L641_ *)
% 1.10/1.32  assert (zenon_L642_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H37 zenon_H33 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.10/1.32  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.32  apply (zenon_L12_); trivial.
% 1.10/1.32  apply (zenon_L641_); trivial.
% 1.10/1.32  (* end of lemma zenon_L642_ *)
% 1.10/1.32  assert (zenon_L643_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c1_1 (a2417))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.10/1.32  do 0 intro. intros zenon_H19f zenon_H66 zenon_H64 zenon_H184 zenon_H65 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.10/1.32  apply (zenon_L186_); trivial.
% 1.10/1.32  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.10/1.32  apply (zenon_L628_); trivial.
% 1.10/1.32  exact (zenon_H123 zenon_H124).
% 1.10/1.32  (* end of lemma zenon_L643_ *)
% 1.10/1.32  assert (zenon_L644_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp28)) -> (~(hskp9)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H23a zenon_H123 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H65 zenon_H64 zenon_H66 zenon_H19f zenon_H229 zenon_H3.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H184 | zenon_intro zenon_H23b ].
% 1.10/1.33  apply (zenon_L643_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H22a | zenon_intro zenon_H4 ].
% 1.10/1.33  exact (zenon_H229 zenon_H22a).
% 1.10/1.33  exact (zenon_H3 zenon_H4).
% 1.10/1.33  (* end of lemma zenon_L644_ *)
% 1.10/1.33  assert (zenon_L645_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2403))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_Hb9 zenon_Ha zenon_H299 zenon_H19 zenon_H298 zenon_H29a.
% 1.10/1.33  generalize (zenon_Hb9 (a2403)). zenon_intro zenon_H2a3.
% 1.10/1.33  apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a4 ].
% 1.10/1.33  exact (zenon_H9 zenon_Ha).
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H2a5 ].
% 1.10/1.33  exact (zenon_H299 zenon_H2a0).
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H29f ].
% 1.10/1.33  generalize (zenon_H19 (a2403)). zenon_intro zenon_H2a7.
% 1.10/1.33  apply (zenon_imply_s _ _ zenon_H2a7); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a8 ].
% 1.10/1.33  exact (zenon_H9 zenon_Ha).
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2a9 ].
% 1.10/1.33  exact (zenon_H2a6 zenon_H2aa).
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H29e | zenon_intro zenon_H29f ].
% 1.10/1.33  exact (zenon_H298 zenon_H29e).
% 1.10/1.33  exact (zenon_H29f zenon_H29a).
% 1.10/1.33  exact (zenon_H29f zenon_H29a).
% 1.10/1.33  (* end of lemma zenon_L645_ *)
% 1.10/1.33  assert (zenon_L646_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c3_1 (a2403))) -> (c3_1 (a2406)) -> (c2_1 (a2406)) -> (c1_1 (a2406)) -> (ndr1_0) -> (~(hskp10)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H1a1 zenon_H29a zenon_H298 zenon_H19 zenon_H299 zenon_H22d zenon_H22c zenon_H22b zenon_Ha zenon_H7c.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ].
% 1.10/1.33  apply (zenon_L645_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ].
% 1.10/1.33  apply (zenon_L254_); trivial.
% 1.10/1.33  exact (zenon_H7c zenon_H7d).
% 1.10/1.33  (* end of lemma zenon_L646_ *)
% 1.10/1.33  assert (zenon_L647_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp17)) -> (~(hskp18)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H234 zenon_H1b9 zenon_H7c zenon_H299 zenon_H298 zenon_H29a zenon_H1a1 zenon_H145 zenon_H1b7.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ].
% 1.10/1.33  apply (zenon_L646_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ].
% 1.10/1.33  exact (zenon_H145 zenon_H146).
% 1.10/1.33  exact (zenon_H1b7 zenon_H1b8).
% 1.10/1.33  (* end of lemma zenon_L647_ *)
% 1.10/1.33  assert (zenon_L648_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H13b zenon_H237 zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H299 zenon_H298 zenon_H29a zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.10/1.33  apply (zenon_L261_); trivial.
% 1.10/1.33  apply (zenon_L647_); trivial.
% 1.10/1.33  (* end of lemma zenon_L648_ *)
% 1.10/1.33  assert (zenon_L649_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H13a zenon_H23a zenon_H3 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H1a1 zenon_H7c zenon_H145 zenon_H1b7 zenon_H1b9 zenon_H237.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.10/1.33  apply (zenon_L644_); trivial.
% 1.10/1.33  apply (zenon_L647_); trivial.
% 1.10/1.33  apply (zenon_L648_); trivial.
% 1.10/1.33  (* end of lemma zenon_L649_ *)
% 1.10/1.33  assert (zenon_L650_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H234 zenon_H2ab zenon_H66 zenon_H65 zenon_H64 zenon_H1be zenon_H1bd zenon_H1bc.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H63 | zenon_intro zenon_H2ac ].
% 1.10/1.33  apply (zenon_L27_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1bb | zenon_intro zenon_Hf9 ].
% 1.10/1.33  apply (zenon_L149_); trivial.
% 1.10/1.33  apply (zenon_L254_); trivial.
% 1.10/1.33  (* end of lemma zenon_L650_ *)
% 1.10/1.33  assert (zenon_L651_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H237 zenon_H2ab zenon_H1be zenon_H1bd zenon_H1bc zenon_H19f zenon_H123 zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_Ha zenon_H3 zenon_H23a.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.10/1.33  apply (zenon_L644_); trivial.
% 1.10/1.33  apply (zenon_L650_); trivial.
% 1.10/1.33  (* end of lemma zenon_L651_ *)
% 1.10/1.33  assert (zenon_L652_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H13b zenon_H237 zenon_H2ab zenon_H1be zenon_H1bd zenon_H1bc zenon_H66 zenon_H65 zenon_H64 zenon_H3 zenon_H23a.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.10/1.33  apply (zenon_L261_); trivial.
% 1.10/1.33  apply (zenon_L650_); trivial.
% 1.10/1.33  (* end of lemma zenon_L652_ *)
% 1.10/1.33  assert (zenon_L653_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H1c5 zenon_H13a zenon_H23a zenon_H3 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H2ab zenon_H237.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.10/1.33  apply (zenon_L651_); trivial.
% 1.10/1.33  apply (zenon_L652_); trivial.
% 1.10/1.33  (* end of lemma zenon_L653_ *)
% 1.10/1.33  assert (zenon_L654_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H1ca zenon_H2ab zenon_H237 zenon_H1b9 zenon_H145 zenon_H7c zenon_H1a1 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_Ha zenon_H3 zenon_H23a zenon_H13a.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.10/1.33  apply (zenon_L649_); trivial.
% 1.10/1.33  apply (zenon_L653_); trivial.
% 1.10/1.33  (* end of lemma zenon_L654_ *)
% 1.10/1.33  assert (zenon_L655_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp10)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H162 zenon_Haf zenon_H66 zenon_H65 zenon_H64 zenon_H7c.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ].
% 1.10/1.33  apply (zenon_L27_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H7d ].
% 1.10/1.33  apply (zenon_L99_); trivial.
% 1.10/1.33  exact (zenon_H7c zenon_H7d).
% 1.10/1.33  (* end of lemma zenon_L655_ *)
% 1.10/1.33  assert (zenon_L656_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H6d zenon_H165 zenon_Haf zenon_H13a zenon_H23a zenon_H3 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H1a1 zenon_H7c zenon_H1b9 zenon_H237 zenon_H2ab zenon_H1ca.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.33  apply (zenon_L654_); trivial.
% 1.10/1.33  apply (zenon_L655_); trivial.
% 1.10/1.33  (* end of lemma zenon_L656_ *)
% 1.10/1.33  assert (zenon_L657_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H97 zenon_Haf zenon_H13a zenon_H23a zenon_H3 zenon_H19f zenon_H1a1 zenon_H7c zenon_H1b9 zenon_H237 zenon_H2ab zenon_H1ca zenon_H1cd zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H5e zenon_H62.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.33  apply (zenon_L635_); trivial.
% 1.10/1.33  apply (zenon_L642_); trivial.
% 1.10/1.33  apply (zenon_L25_); trivial.
% 1.10/1.33  apply (zenon_L656_); trivial.
% 1.10/1.33  (* end of lemma zenon_L657_ *)
% 1.10/1.33  assert (zenon_L658_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.10/1.33  apply (zenon_L29_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.10/1.33  apply (zenon_L628_); trivial.
% 1.10/1.33  exact (zenon_H123 zenon_H124).
% 1.10/1.33  (* end of lemma zenon_L658_ *)
% 1.10/1.33  assert (zenon_L659_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2403))) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (c1_1 (a2403)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_Hb9 zenon_Ha zenon_H299 zenon_H2ad zenon_H29a.
% 1.10/1.33  generalize (zenon_Hb9 (a2403)). zenon_intro zenon_H2a3.
% 1.10/1.33  apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a4 ].
% 1.10/1.33  exact (zenon_H9 zenon_Ha).
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H2a5 ].
% 1.10/1.33  exact (zenon_H299 zenon_H2a0).
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H29f ].
% 1.10/1.33  generalize (zenon_H2ad (a2403)). zenon_intro zenon_H2ae.
% 1.10/1.33  apply (zenon_imply_s _ _ zenon_H2ae); [ zenon_intro zenon_H9 | zenon_intro zenon_H2af ].
% 1.10/1.33  exact (zenon_H9 zenon_Ha).
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2aa | zenon_intro zenon_H29d ].
% 1.10/1.33  exact (zenon_H2a6 zenon_H2aa).
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H29f ].
% 1.10/1.33  exact (zenon_H299 zenon_H2a0).
% 1.10/1.33  exact (zenon_H29f zenon_H29a).
% 1.10/1.33  exact (zenon_H29f zenon_H29a).
% 1.10/1.33  (* end of lemma zenon_L659_ *)
% 1.10/1.33  assert (zenon_L660_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (~(c3_1 (a2403))) -> (c3_1 (a2406)) -> (c2_1 (a2406)) -> (c1_1 (a2406)) -> (ndr1_0) -> (~(hskp10)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H1a1 zenon_H29a zenon_H2ad zenon_H299 zenon_H22d zenon_H22c zenon_H22b zenon_Ha zenon_H7c.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ].
% 1.10/1.33  apply (zenon_L659_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ].
% 1.10/1.33  apply (zenon_L254_); trivial.
% 1.10/1.33  exact (zenon_H7c zenon_H7d).
% 1.10/1.33  (* end of lemma zenon_L660_ *)
% 1.10/1.33  assert (zenon_L661_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp10)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp4)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H234 zenon_H2b0 zenon_H7c zenon_H299 zenon_H29a zenon_H1a1 zenon_H75 zenon_H74 zenon_H73 zenon_H13f.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.10/1.33  apply (zenon_L660_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.10/1.33  apply (zenon_L29_); trivial.
% 1.10/1.33  exact (zenon_H13f zenon_H140).
% 1.10/1.33  (* end of lemma zenon_L661_ *)
% 1.10/1.33  assert (zenon_L662_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H13b zenon_H237 zenon_H2b0 zenon_H13f zenon_H75 zenon_H74 zenon_H73 zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.10/1.33  apply (zenon_L261_); trivial.
% 1.10/1.33  apply (zenon_L661_); trivial.
% 1.10/1.33  (* end of lemma zenon_L662_ *)
% 1.10/1.33  assert (zenon_L663_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H80 zenon_H13a zenon_H237 zenon_H2b0 zenon_H13f zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.10/1.33  apply (zenon_L658_); trivial.
% 1.10/1.33  apply (zenon_L662_); trivial.
% 1.10/1.33  (* end of lemma zenon_L663_ *)
% 1.10/1.33  assert (zenon_L664_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (ndr1_0) -> (c1_1 (a2432)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c0_1 (a2432))) -> (c3_1 (a2432)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H29a zenon_H298 zenon_H299 zenon_Ha zenon_H3b zenon_H19 zenon_H3a zenon_H3c.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.10/1.33  apply (zenon_L33_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.10/1.33  apply (zenon_L645_); trivial.
% 1.10/1.33  apply (zenon_L388_); trivial.
% 1.10/1.33  (* end of lemma zenon_L664_ *)
% 1.10/1.33  assert (zenon_L665_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c3_1 (a2432)) -> (~(c0_1 (a2432))) -> (c1_1 (a2432)) -> (ndr1_0) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp29)) -> (~(hskp0)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_Hef zenon_H3c zenon_H3a zenon_H3b zenon_Ha zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_Hed zenon_Hb1.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ].
% 1.10/1.33  apply (zenon_L664_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ].
% 1.10/1.33  exact (zenon_Hed zenon_Hee).
% 1.10/1.33  exact (zenon_Hb1 zenon_Hb2).
% 1.10/1.33  (* end of lemma zenon_L665_ *)
% 1.10/1.33  assert (zenon_L666_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2432)) -> (~(c0_1 (a2432))) -> (c1_1 (a2432)) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H105 zenon_H3c zenon_H3a zenon_H3b zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.10/1.33  apply (zenon_L665_); trivial.
% 1.10/1.33  apply (zenon_L629_); trivial.
% 1.10/1.33  (* end of lemma zenon_L666_ *)
% 1.10/1.33  assert (zenon_L667_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H45 zenon_H158 zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.10/1.33  apply (zenon_L169_); trivial.
% 1.10/1.33  apply (zenon_L666_); trivial.
% 1.10/1.33  (* end of lemma zenon_L667_ *)
% 1.10/1.33  assert (zenon_L668_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H4a zenon_H165 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H5b zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H187 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.10/1.33  apply (zenon_L632_); trivial.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.10/1.33  apply (zenon_L16_); trivial.
% 1.10/1.33  apply (zenon_L667_); trivial.
% 1.10/1.33  (* end of lemma zenon_L668_ *)
% 1.10/1.33  assert (zenon_L669_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H4e zenon_H165 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H5b zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H187 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.10/1.33  apply (zenon_L12_); trivial.
% 1.10/1.33  apply (zenon_L668_); trivial.
% 1.10/1.33  (* end of lemma zenon_L669_ *)
% 1.10/1.33  assert (zenon_L670_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2403))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_Hb9 zenon_Ha zenon_H299 zenon_H1bb zenon_H298 zenon_H29a.
% 1.10/1.33  generalize (zenon_Hb9 (a2403)). zenon_intro zenon_H2a3.
% 1.10/1.33  apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a4 ].
% 1.10/1.33  exact (zenon_H9 zenon_Ha).
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H2a5 ].
% 1.10/1.33  exact (zenon_H299 zenon_H2a0).
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H29f ].
% 1.10/1.33  generalize (zenon_H1bb (a2403)). zenon_intro zenon_H2b2.
% 1.10/1.33  apply (zenon_imply_s _ _ zenon_H2b2); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b3 ].
% 1.10/1.33  exact (zenon_H9 zenon_Ha).
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2b4 ].
% 1.10/1.33  exact (zenon_H2a6 zenon_H2aa).
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H29e | zenon_intro zenon_H2a0 ].
% 1.10/1.33  exact (zenon_H298 zenon_H29e).
% 1.10/1.33  exact (zenon_H299 zenon_H2a0).
% 1.10/1.33  exact (zenon_H29f zenon_H29a).
% 1.10/1.33  (* end of lemma zenon_L670_ *)
% 1.10/1.33  assert (zenon_L671_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> (~(c3_1 (a2403))) -> (ndr1_0) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H29a zenon_H298 zenon_H1bb zenon_H299 zenon_Ha zenon_H22b zenon_H22c zenon_H22d.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.10/1.33  apply (zenon_L33_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.10/1.33  apply (zenon_L670_); trivial.
% 1.10/1.33  apply (zenon_L254_); trivial.
% 1.10/1.33  (* end of lemma zenon_L671_ *)
% 1.10/1.33  assert (zenon_L672_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H234 zenon_H2ab zenon_H66 zenon_H65 zenon_H64 zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H63 | zenon_intro zenon_H2ac ].
% 1.10/1.33  apply (zenon_L27_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1bb | zenon_intro zenon_Hf9 ].
% 1.10/1.33  apply (zenon_L671_); trivial.
% 1.10/1.33  apply (zenon_L254_); trivial.
% 1.10/1.33  (* end of lemma zenon_L672_ *)
% 1.10/1.33  assert (zenon_L673_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H237 zenon_H2ab zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19f zenon_H123 zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_Ha zenon_H3 zenon_H23a.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.10/1.33  apply (zenon_L644_); trivial.
% 1.10/1.33  apply (zenon_L672_); trivial.
% 1.10/1.33  (* end of lemma zenon_L673_ *)
% 1.10/1.33  assert (zenon_L674_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H13b zenon_H237 zenon_H2ab zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H66 zenon_H65 zenon_H64 zenon_H3 zenon_H23a.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.10/1.33  apply (zenon_L261_); trivial.
% 1.10/1.33  apply (zenon_L672_); trivial.
% 1.10/1.33  (* end of lemma zenon_L674_ *)
% 1.10/1.33  assert (zenon_L675_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H6d zenon_H13a zenon_H23a zenon_H3 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H2ab zenon_H237.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.10/1.33  apply (zenon_L673_); trivial.
% 1.10/1.33  apply (zenon_L674_); trivial.
% 1.10/1.33  (* end of lemma zenon_L675_ *)
% 1.10/1.33  assert (zenon_L676_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H97 zenon_H13a zenon_H23a zenon_H3 zenon_H19f zenon_H2ab zenon_H237 zenon_H1cd zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H1db zenon_H5b zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H165 zenon_H4e zenon_H5e zenon_H62.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.10/1.33  apply (zenon_L669_); trivial.
% 1.10/1.33  apply (zenon_L642_); trivial.
% 1.10/1.33  apply (zenon_L25_); trivial.
% 1.10/1.33  apply (zenon_L675_); trivial.
% 1.10/1.33  (* end of lemma zenon_L676_ *)
% 1.10/1.33  assert (zenon_L677_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2403)) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (~(c3_1 (a2403))) -> (ndr1_0) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H29a zenon_H2ad zenon_H299 zenon_Ha zenon_H22b zenon_H22c zenon_H22d.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.10/1.33  apply (zenon_L33_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.10/1.33  apply (zenon_L659_); trivial.
% 1.10/1.33  apply (zenon_L254_); trivial.
% 1.10/1.33  (* end of lemma zenon_L677_ *)
% 1.10/1.33  assert (zenon_L678_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp4)) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H234 zenon_H2b0 zenon_H299 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H75 zenon_H74 zenon_H73 zenon_H13f.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.10/1.33  apply (zenon_L677_); trivial.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.10/1.33  apply (zenon_L29_); trivial.
% 1.10/1.33  exact (zenon_H13f zenon_H140).
% 1.10/1.33  (* end of lemma zenon_L678_ *)
% 1.10/1.33  assert (zenon_L679_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.10/1.33  do 0 intro. intros zenon_H13b zenon_H237 zenon_H2b0 zenon_H13f zenon_H75 zenon_H74 zenon_H73 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H29a zenon_H105 zenon_H3 zenon_H23a.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.10/1.33  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.10/1.33  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.10/1.33  apply (zenon_L261_); trivial.
% 1.10/1.33  apply (zenon_L678_); trivial.
% 1.10/1.33  (* end of lemma zenon_L679_ *)
% 1.10/1.33  assert (zenon_L680_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H80 zenon_H13a zenon_H237 zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.33  apply (zenon_L658_); trivial.
% 1.18/1.33  apply (zenon_L679_); trivial.
% 1.18/1.33  (* end of lemma zenon_L680_ *)
% 1.18/1.33  assert (zenon_L681_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H175 zenon_H95 zenon_H8d zenon_Hb3 zenon_H141 zenon_H7e zenon_H96 zenon_H2b0 zenon_H13f zenon_H62 zenon_H5e zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H27 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H1ca zenon_H2ab zenon_H237 zenon_H1b9 zenon_H1a1 zenon_H19f zenon_H23a zenon_H13a zenon_Haf zenon_H97 zenon_H105 zenon_H98.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.18/1.33  apply (zenon_L657_); trivial.
% 1.18/1.33  apply (zenon_L663_); trivial.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.18/1.33  apply (zenon_L676_); trivial.
% 1.18/1.33  apply (zenon_L680_); trivial.
% 1.18/1.33  apply (zenon_L117_); trivial.
% 1.18/1.33  (* end of lemma zenon_L681_ *)
% 1.18/1.33  assert (zenon_L682_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H178 zenon_H8d zenon_Hb3 zenon_H141 zenon_H7e zenon_H96 zenon_H2b0 zenon_H13f zenon_H62 zenon_H5e zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H27 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H1ca zenon_H2ab zenon_H237 zenon_H1b9 zenon_H1a1 zenon_H19f zenon_H23a zenon_H13a zenon_Haf zenon_H97 zenon_H105 zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.18/1.33  apply (zenon_L227_); trivial.
% 1.18/1.33  apply (zenon_L681_); trivial.
% 1.18/1.33  (* end of lemma zenon_L682_ *)
% 1.18/1.33  assert (zenon_L683_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H162 zenon_H111 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H18d zenon_H59 zenon_Hb1 zenon_Hef zenon_H1db zenon_Hb7 zenon_H5b zenon_H1 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_H1cb zenon_H12a zenon_Hca.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.33  apply (zenon_L153_); trivial.
% 1.18/1.33  apply (zenon_L638_); trivial.
% 1.18/1.33  (* end of lemma zenon_L683_ *)
% 1.18/1.33  assert (zenon_L684_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H1ae zenon_H237 zenon_H1a1 zenon_H7c zenon_H5e zenon_Hd9 zenon_H227 zenon_H238 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H111 zenon_H1cb zenon_H1db zenon_H165 zenon_H1cd zenon_H13e.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.18/1.33  apply (zenon_L52_); trivial.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.33  apply (zenon_L240_); trivial.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.33  apply (zenon_L257_); trivial.
% 1.18/1.33  apply (zenon_L637_); trivial.
% 1.18/1.33  apply (zenon_L683_); trivial.
% 1.18/1.33  apply (zenon_L45_); trivial.
% 1.18/1.33  (* end of lemma zenon_L684_ *)
% 1.18/1.33  assert (zenon_L685_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H45 zenon_H158 zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.18/1.33  apply (zenon_L97_); trivial.
% 1.18/1.33  apply (zenon_L666_); trivial.
% 1.18/1.33  (* end of lemma zenon_L685_ *)
% 1.18/1.33  assert (zenon_L686_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp20)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H21c zenon_H1be zenon_H1bd zenon_H1bc zenon_Hd7 zenon_Hcc zenon_Hcd zenon_Hda zenon_Hd9 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.18/1.33  apply (zenon_L149_); trivial.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.18/1.33  apply (zenon_L56_); trivial.
% 1.18/1.33  apply (zenon_L139_); trivial.
% 1.18/1.33  (* end of lemma zenon_L686_ *)
% 1.18/1.33  assert (zenon_L687_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (ndr1_0) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H35 zenon_H59 zenon_H18d zenon_H12a zenon_Ha zenon_H1bc zenon_H1bd zenon_H1be zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.33  apply (zenon_L686_); trivial.
% 1.18/1.33  apply (zenon_L155_); trivial.
% 1.18/1.33  (* end of lemma zenon_L687_ *)
% 1.18/1.33  assert (zenon_L688_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H1c5 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.33  apply (zenon_L687_); trivial.
% 1.18/1.33  apply (zenon_L637_); trivial.
% 1.18/1.33  (* end of lemma zenon_L688_ *)
% 1.18/1.33  assert (zenon_L689_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H1ae zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_H238 zenon_H227 zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H105 zenon_H237 zenon_H147 zenon_Hef zenon_Hb1 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.18/1.33  apply (zenon_L52_); trivial.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.33  apply (zenon_L240_); trivial.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.33  apply (zenon_L40_); trivial.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.33  apply (zenon_L522_); trivial.
% 1.18/1.33  apply (zenon_L147_); trivial.
% 1.18/1.33  apply (zenon_L685_); trivial.
% 1.18/1.33  apply (zenon_L688_); trivial.
% 1.18/1.33  apply (zenon_L640_); trivial.
% 1.18/1.33  apply (zenon_L28_); trivial.
% 1.18/1.33  (* end of lemma zenon_L689_ *)
% 1.18/1.33  assert (zenon_L690_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.33  apply (zenon_L658_); trivial.
% 1.18/1.33  apply (zenon_L126_); trivial.
% 1.18/1.33  (* end of lemma zenon_L690_ *)
% 1.18/1.33  assert (zenon_L691_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp21)) -> (~(hskp6)) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H13a zenon_H243 zenon_H143 zenon_H15 zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.33  apply (zenon_L658_); trivial.
% 1.18/1.33  apply (zenon_L265_); trivial.
% 1.18/1.33  (* end of lemma zenon_L691_ *)
% 1.18/1.33  assert (zenon_L692_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H2a1 zenon_H14c zenon_H14b zenon_H14a zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H4f zenon_H22b zenon_H22c zenon_H22d.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H149 | zenon_intro zenon_H2a2 ].
% 1.18/1.33  apply (zenon_L95_); trivial.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H199 | zenon_intro zenon_H1dd ].
% 1.18/1.33  apply (zenon_L628_); trivial.
% 1.18/1.33  generalize (zenon_H1dd (a2406)). zenon_intro zenon_H23c.
% 1.18/1.33  apply (zenon_imply_s _ _ zenon_H23c); [ zenon_intro zenon_H9 | zenon_intro zenon_H23d ].
% 1.18/1.33  exact (zenon_H9 zenon_Ha).
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H23e | zenon_intro zenon_H230 ].
% 1.18/1.33  generalize (zenon_H4f (a2406)). zenon_intro zenon_H2b5.
% 1.18/1.33  apply (zenon_imply_s _ _ zenon_H2b5); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b6 ].
% 1.18/1.33  exact (zenon_H9 zenon_Ha).
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H242 | zenon_intro zenon_H2b7 ].
% 1.18/1.33  exact (zenon_H23e zenon_H242).
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H231 | zenon_intro zenon_H233 ].
% 1.18/1.33  exact (zenon_H231 zenon_H22b).
% 1.18/1.33  exact (zenon_H233 zenon_H22c).
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ].
% 1.18/1.33  exact (zenon_H233 zenon_H22c).
% 1.18/1.33  exact (zenon_H232 zenon_H22d).
% 1.18/1.33  (* end of lemma zenon_L692_ *)
% 1.18/1.33  assert (zenon_L693_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H234 zenon_H21c zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H298 zenon_H299 zenon_H29a zenon_H14a zenon_H14b zenon_H14c zenon_H2a1 zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.18/1.33  apply (zenon_L671_); trivial.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.18/1.33  apply (zenon_L692_); trivial.
% 1.18/1.33  apply (zenon_L139_); trivial.
% 1.18/1.33  (* end of lemma zenon_L693_ *)
% 1.18/1.33  assert (zenon_L694_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H13b zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H14a zenon_H14b zenon_H14c zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H3 zenon_H23a.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.18/1.33  apply (zenon_L261_); trivial.
% 1.18/1.33  apply (zenon_L693_); trivial.
% 1.18/1.33  (* end of lemma zenon_L694_ *)
% 1.18/1.33  assert (zenon_L695_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H80 zenon_H1cd zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H15 zenon_H243 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.33  apply (zenon_L690_); trivial.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.18/1.33  apply (zenon_L691_); trivial.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.33  apply (zenon_L658_); trivial.
% 1.18/1.33  apply (zenon_L694_); trivial.
% 1.18/1.33  (* end of lemma zenon_L695_ *)
% 1.18/1.33  assert (zenon_L696_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H8f zenon_H96 zenon_H3 zenon_H23a zenon_H243 zenon_H19f zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_Hb1 zenon_Hef zenon_H147 zenon_H237 zenon_H105 zenon_H8d zenon_Hd9 zenon_H227 zenon_H238 zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H1ae zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.18/1.33  apply (zenon_L689_); trivial.
% 1.18/1.33  apply (zenon_L695_); trivial.
% 1.18/1.33  (* end of lemma zenon_L696_ *)
% 1.18/1.33  assert (zenon_L697_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H98 zenon_H243 zenon_H4e zenon_H105 zenon_H8d zenon_H1b9 zenon_H21c zenon_H1ca zenon_Ha3 zenon_H6e zenon_H97 zenon_Hb3 zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H1ae zenon_H237 zenon_H1a1 zenon_H5e zenon_Hd9 zenon_H227 zenon_H238 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H111 zenon_H1cb zenon_H1db zenon_H165 zenon_H1cd zenon_H13e zenon_H19f zenon_H23a zenon_H3 zenon_H13f zenon_H2b0 zenon_H96.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.18/1.33  apply (zenon_L684_); trivial.
% 1.18/1.33  apply (zenon_L663_); trivial.
% 1.18/1.33  apply (zenon_L696_); trivial.
% 1.18/1.33  (* end of lemma zenon_L697_ *)
% 1.18/1.33  assert (zenon_L698_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H2a1 zenon_Hf9 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H10c zenon_Hfb zenon_Hfc.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H149 | zenon_intro zenon_H2a2 ].
% 1.18/1.33  apply (zenon_L105_); trivial.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H199 | zenon_intro zenon_H1dd ].
% 1.18/1.33  apply (zenon_L628_); trivial.
% 1.18/1.33  apply (zenon_L176_); trivial.
% 1.18/1.33  (* end of lemma zenon_L698_ *)
% 1.18/1.33  assert (zenon_L699_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H2ad zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H10c zenon_Hfb zenon_Hfc.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.18/1.33  apply (zenon_L33_); trivial.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.18/1.33  apply (zenon_L659_); trivial.
% 1.18/1.33  apply (zenon_L698_); trivial.
% 1.18/1.33  (* end of lemma zenon_L699_ *)
% 1.18/1.33  assert (zenon_L700_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp4)) -> False).
% 1.18/1.33  do 0 intro. intros zenon_H109 zenon_H2b0 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H75 zenon_H74 zenon_H73 zenon_H13f.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.18/1.33  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.18/1.33  apply (zenon_L699_); trivial.
% 1.18/1.33  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.18/1.33  apply (zenon_L29_); trivial.
% 1.18/1.33  exact (zenon_H13f zenon_H140).
% 1.18/1.33  (* end of lemma zenon_L700_ *)
% 1.18/1.33  assert (zenon_L701_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H1ce zenon_H10e zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H298 zenon_H299 zenon_H29a zenon_H2b8.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H2b9 ].
% 1.18/1.34  apply (zenon_L103_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H199 | zenon_intro zenon_H18f ].
% 1.18/1.34  apply (zenon_L628_); trivial.
% 1.18/1.34  apply (zenon_L139_); trivial.
% 1.18/1.34  apply (zenon_L700_); trivial.
% 1.18/1.34  (* end of lemma zenon_L701_ *)
% 1.18/1.34  assert (zenon_L702_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H80 zenon_H1cd zenon_H10e zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H2b8 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.34  apply (zenon_L690_); trivial.
% 1.18/1.34  apply (zenon_L701_); trivial.
% 1.18/1.34  (* end of lemma zenon_L702_ *)
% 1.18/1.34  assert (zenon_L703_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H8f zenon_H96 zenon_H2b0 zenon_H13f zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H2b8 zenon_H19f zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_Hb1 zenon_Hef zenon_H147 zenon_H237 zenon_H105 zenon_H8d zenon_Hd9 zenon_H227 zenon_H238 zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H1ae zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.18/1.34  apply (zenon_L689_); trivial.
% 1.18/1.34  apply (zenon_L702_); trivial.
% 1.18/1.34  (* end of lemma zenon_L703_ *)
% 1.18/1.34  assert (zenon_L704_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H37 zenon_H33 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H18d zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H111 zenon_H4b zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.34  apply (zenon_L40_); trivial.
% 1.18/1.34  apply (zenon_L641_); trivial.
% 1.18/1.34  (* end of lemma zenon_L704_ *)
% 1.18/1.34  assert (zenon_L705_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H1cd zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H5e zenon_H62.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.34  apply (zenon_L635_); trivial.
% 1.18/1.34  apply (zenon_L704_); trivial.
% 1.18/1.34  apply (zenon_L25_); trivial.
% 1.18/1.34  apply (zenon_L45_); trivial.
% 1.18/1.34  (* end of lemma zenon_L705_ *)
% 1.18/1.34  assert (zenon_L706_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H80 zenon_H10e zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H29a zenon_H2a1 zenon_H298 zenon_H105 zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.34  apply (zenon_L346_); trivial.
% 1.18/1.34  apply (zenon_L700_); trivial.
% 1.18/1.34  (* end of lemma zenon_L706_ *)
% 1.18/1.34  assert (zenon_L707_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H175 zenon_H95 zenon_H8d zenon_H141 zenon_H7e zenon_H96 zenon_H13a zenon_H237 zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H23a zenon_H19f zenon_H62 zenon_H5e zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H27 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_Haf zenon_Hb3 zenon_H97 zenon_H2ab zenon_H105 zenon_H98.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.18/1.34  apply (zenon_L705_); trivial.
% 1.18/1.34  apply (zenon_L663_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.34  apply (zenon_L669_); trivial.
% 1.18/1.34  apply (zenon_L704_); trivial.
% 1.18/1.34  apply (zenon_L25_); trivial.
% 1.18/1.34  apply (zenon_L675_); trivial.
% 1.18/1.34  apply (zenon_L706_); trivial.
% 1.18/1.34  apply (zenon_L117_); trivial.
% 1.18/1.34  (* end of lemma zenon_L707_ *)
% 1.18/1.34  assert (zenon_L708_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (c0_1 (a2409)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H1a1 zenon_H19 zenon_Hfc zenon_Hfb zenon_H10c zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H7c.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ].
% 1.18/1.34  apply (zenon_L645_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ].
% 1.18/1.34  apply (zenon_L698_); trivial.
% 1.18/1.34  exact (zenon_H7c zenon_H7d).
% 1.18/1.34  (* end of lemma zenon_L708_ *)
% 1.18/1.34  assert (zenon_L709_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp16)) -> (~(hskp13)) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H109 zenon_H27 zenon_H7c zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H1a1 zenon_H23 zenon_H25.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ].
% 1.18/1.34  apply (zenon_L708_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ].
% 1.18/1.34  exact (zenon_H23 zenon_H24).
% 1.18/1.34  exact (zenon_H25 zenon_H26).
% 1.18/1.34  (* end of lemma zenon_L709_ *)
% 1.18/1.34  assert (zenon_L710_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H10d zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H18d zenon_H59 zenon_H35 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.18/1.34  apply (zenon_L130_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.34  apply (zenon_L135_); trivial.
% 1.18/1.34  apply (zenon_L709_); trivial.
% 1.18/1.34  apply (zenon_L137_); trivial.
% 1.18/1.34  (* end of lemma zenon_L710_ *)
% 1.18/1.34  assert (zenon_L711_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H111 zenon_H1a3 zenon_He zenon_Hd zenon_Hc zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.34  apply (zenon_L127_); trivial.
% 1.18/1.34  apply (zenon_L710_); trivial.
% 1.18/1.34  (* end of lemma zenon_L711_ *)
% 1.18/1.34  assert (zenon_L712_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H165 zenon_H1db zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_Hb7 zenon_H5b zenon_H1 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H13a zenon_H1ae zenon_H147 zenon_H158 zenon_H4b.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.34  apply (zenon_L141_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.18/1.34  apply (zenon_L48_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.34  apply (zenon_L175_); trivial.
% 1.18/1.34  apply (zenon_L709_); trivial.
% 1.18/1.34  apply (zenon_L155_); trivial.
% 1.18/1.34  apply (zenon_L637_); trivial.
% 1.18/1.34  apply (zenon_L683_); trivial.
% 1.18/1.34  (* end of lemma zenon_L712_ *)
% 1.18/1.34  assert (zenon_L713_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H1cd zenon_H1ae zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_Hb7 zenon_H165 zenon_H5b zenon_H1db zenon_H111 zenon_H1a3 zenon_He zenon_Hd zenon_Hc zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H147 zenon_H158 zenon_H4b zenon_H4e.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_L711_); trivial.
% 1.18/1.34  apply (zenon_L631_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_L711_); trivial.
% 1.18/1.34  apply (zenon_L633_); trivial.
% 1.18/1.34  apply (zenon_L634_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.34  apply (zenon_L712_); trivial.
% 1.18/1.34  apply (zenon_L641_); trivial.
% 1.18/1.34  (* end of lemma zenon_L713_ *)
% 1.18/1.34  assert (zenon_L714_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H111 zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H18d zenon_H35 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H59 zenon_H5b zenon_H5e.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.34  apply (zenon_L157_); trivial.
% 1.18/1.34  apply (zenon_L710_); trivial.
% 1.18/1.34  (* end of lemma zenon_L714_ *)
% 1.18/1.34  assert (zenon_L715_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H4e zenon_H37 zenon_H4b zenon_H158 zenon_H189 zenon_H187 zenon_H147 zenon_H5e zenon_H5b zenon_H59 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H18d zenon_H12a zenon_Hc zenon_Hd zenon_He zenon_H33 zenon_H1a3 zenon_H13a zenon_H111 zenon_H1db zenon_H165.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_L714_); trivial.
% 1.18/1.34  apply (zenon_L631_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_L714_); trivial.
% 1.18/1.34  apply (zenon_L633_); trivial.
% 1.18/1.34  apply (zenon_L634_); trivial.
% 1.18/1.34  (* end of lemma zenon_L715_ *)
% 1.18/1.34  assert (zenon_L716_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H19 zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H10c zenon_Hfb zenon_Hfc.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.18/1.34  apply (zenon_L33_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.18/1.34  apply (zenon_L645_); trivial.
% 1.18/1.34  apply (zenon_L698_); trivial.
% 1.18/1.34  (* end of lemma zenon_L716_ *)
% 1.18/1.34  assert (zenon_L717_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(hskp13)) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H109 zenon_H27 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H23 zenon_H25.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ].
% 1.18/1.34  apply (zenon_L716_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ].
% 1.18/1.34  exact (zenon_H23 zenon_H24).
% 1.18/1.34  exact (zenon_H25 zenon_H26).
% 1.18/1.34  (* end of lemma zenon_L717_ *)
% 1.18/1.34  assert (zenon_L718_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H10d zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H105 zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.18/1.34  apply (zenon_L48_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.34  apply (zenon_L135_); trivial.
% 1.18/1.34  apply (zenon_L717_); trivial.
% 1.18/1.34  apply (zenon_L137_); trivial.
% 1.18/1.34  (* end of lemma zenon_L718_ *)
% 1.18/1.34  assert (zenon_L719_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H109 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hbc zenon_Hbb zenon_Hba zenon_H2a1 zenon_H29a zenon_H299 zenon_H298.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.18/1.34  apply (zenon_L33_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.18/1.34  apply (zenon_L49_); trivial.
% 1.18/1.34  apply (zenon_L698_); trivial.
% 1.18/1.34  (* end of lemma zenon_L719_ *)
% 1.18/1.34  assert (zenon_L720_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H153 zenon_Hca zenon_H10e zenon_H105 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_He2 zenon_He1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1 zenon_H5b zenon_Hb7.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.18/1.34  apply (zenon_L48_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.34  apply (zenon_L170_); trivial.
% 1.18/1.34  apply (zenon_L719_); trivial.
% 1.18/1.34  (* end of lemma zenon_L720_ *)
% 1.18/1.34  assert (zenon_L721_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H10d zenon_H158 zenon_Hca zenon_H10e zenon_H105 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1 zenon_Hb7 zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.18/1.34  apply (zenon_L169_); trivial.
% 1.18/1.34  apply (zenon_L720_); trivial.
% 1.18/1.34  (* end of lemma zenon_L721_ *)
% 1.18/1.34  assert (zenon_L722_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(hskp13)) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H45 zenon_H27 zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H23 zenon_H25.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ].
% 1.18/1.34  apply (zenon_L664_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ].
% 1.18/1.34  exact (zenon_H23 zenon_H24).
% 1.18/1.34  exact (zenon_H25 zenon_H26).
% 1.18/1.34  (* end of lemma zenon_L722_ *)
% 1.18/1.34  assert (zenon_L723_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H141 zenon_H13f zenon_H37 zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_Hca zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H4b.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_L142_); trivial.
% 1.18/1.34  apply (zenon_L722_); trivial.
% 1.18/1.34  apply (zenon_L87_); trivial.
% 1.18/1.34  (* end of lemma zenon_L723_ *)
% 1.18/1.34  assert (zenon_L724_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H1cd zenon_H165 zenon_H1db zenon_H154 zenon_H111 zenon_H1a3 zenon_He zenon_Hd zenon_Hc zenon_Hb7 zenon_H5b zenon_H1 zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H105 zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H147 zenon_H158 zenon_H4b zenon_H13f zenon_H141 zenon_H4e.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.34  apply (zenon_L127_); trivial.
% 1.18/1.34  apply (zenon_L718_); trivial.
% 1.18/1.34  apply (zenon_L685_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.34  apply (zenon_L127_); trivial.
% 1.18/1.34  apply (zenon_L721_); trivial.
% 1.18/1.34  apply (zenon_L633_); trivial.
% 1.18/1.34  apply (zenon_L87_); trivial.
% 1.18/1.34  apply (zenon_L723_); trivial.
% 1.18/1.34  (* end of lemma zenon_L724_ *)
% 1.18/1.34  assert (zenon_L725_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H162 zenon_H4b zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hef zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H105 zenon_H10e zenon_Hca zenon_H158 zenon_H111.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.34  apply (zenon_L57_); trivial.
% 1.18/1.34  apply (zenon_L721_); trivial.
% 1.18/1.34  apply (zenon_L667_); trivial.
% 1.18/1.34  (* end of lemma zenon_L725_ *)
% 1.18/1.34  assert (zenon_L726_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H4e zenon_H37 zenon_H4b zenon_H158 zenon_H189 zenon_H187 zenon_H147 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H59 zenon_H18d zenon_H12a zenon_H1 zenon_H5b zenon_Hb7 zenon_Hc zenon_Hd zenon_He zenon_H33 zenon_H1a3 zenon_H13a zenon_H111 zenon_H154 zenon_H1db zenon_H165.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.34  apply (zenon_L57_); trivial.
% 1.18/1.34  apply (zenon_L718_); trivial.
% 1.18/1.34  apply (zenon_L631_); trivial.
% 1.18/1.34  apply (zenon_L725_); trivial.
% 1.18/1.34  apply (zenon_L634_); trivial.
% 1.18/1.34  (* end of lemma zenon_L726_ *)
% 1.18/1.34  assert (zenon_L727_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H111 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1ae zenon_H145 zenon_H1b9 zenon_H4b.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.18/1.34  apply (zenon_L218_); trivial.
% 1.18/1.34  apply (zenon_L688_); trivial.
% 1.18/1.34  (* end of lemma zenon_L727_ *)
% 1.18/1.34  assert (zenon_L728_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H4b zenon_H1b9 zenon_H1ae zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.34  apply (zenon_L727_); trivial.
% 1.18/1.34  apply (zenon_L725_); trivial.
% 1.18/1.34  (* end of lemma zenon_L728_ *)
% 1.18/1.34  assert (zenon_L729_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H13a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_Ha zenon_H187 zenon_H189.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H184 | zenon_intro zenon_H188 ].
% 1.18/1.34  apply (zenon_L643_); trivial.
% 1.18/1.34  exact (zenon_H187 zenon_H188).
% 1.18/1.34  apply (zenon_L126_); trivial.
% 1.18/1.34  (* end of lemma zenon_L729_ *)
% 1.18/1.34  assert (zenon_L730_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H141 zenon_H13f zenon_H37 zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_Hca zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H4b zenon_H189 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.34  apply (zenon_L729_); trivial.
% 1.18/1.34  apply (zenon_L723_); trivial.
% 1.18/1.34  (* end of lemma zenon_L730_ *)
% 1.18/1.34  assert (zenon_L731_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H10d zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.34  apply (zenon_L62_); trivial.
% 1.18/1.34  apply (zenon_L717_); trivial.
% 1.18/1.34  (* end of lemma zenon_L731_ *)
% 1.18/1.34  assert (zenon_L732_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H165 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hca zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H147 zenon_H158 zenon_H4b.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.34  apply (zenon_L57_); trivial.
% 1.18/1.34  apply (zenon_L731_); trivial.
% 1.18/1.34  apply (zenon_L685_); trivial.
% 1.18/1.34  apply (zenon_L725_); trivial.
% 1.18/1.34  (* end of lemma zenon_L732_ *)
% 1.18/1.34  assert (zenon_L733_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H1bb zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H10c zenon_Hfb zenon_Hfc.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.18/1.34  apply (zenon_L33_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.18/1.34  apply (zenon_L670_); trivial.
% 1.18/1.34  apply (zenon_L698_); trivial.
% 1.18/1.34  (* end of lemma zenon_L733_ *)
% 1.18/1.34  assert (zenon_L734_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H109 zenon_H21c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H52 zenon_H51 zenon_H50 zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.18/1.34  apply (zenon_L733_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.18/1.34  apply (zenon_L22_); trivial.
% 1.18/1.34  apply (zenon_L139_); trivial.
% 1.18/1.34  (* end of lemma zenon_L734_ *)
% 1.18/1.34  assert (zenon_L735_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H45 zenon_H10e zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H52 zenon_H51 zenon_H50 zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.34  apply (zenon_L665_); trivial.
% 1.18/1.34  apply (zenon_L734_); trivial.
% 1.18/1.34  (* end of lemma zenon_L735_ *)
% 1.18/1.34  assert (zenon_L736_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H4b zenon_H10e zenon_H21c zenon_H2a1 zenon_H105 zenon_Hb1 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H189 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.34  apply (zenon_L729_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_L34_); trivial.
% 1.18/1.34  apply (zenon_L735_); trivial.
% 1.18/1.34  (* end of lemma zenon_L736_ *)
% 1.18/1.34  assert (zenon_L737_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp14)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H19f zenon_Hc3 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.18/1.34  apply (zenon_L309_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.18/1.34  apply (zenon_L628_); trivial.
% 1.18/1.34  exact (zenon_H123 zenon_H124).
% 1.18/1.34  (* end of lemma zenon_L737_ *)
% 1.18/1.34  assert (zenon_L738_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.34  apply (zenon_L737_); trivial.
% 1.18/1.34  apply (zenon_L126_); trivial.
% 1.18/1.34  (* end of lemma zenon_L738_ *)
% 1.18/1.34  assert (zenon_L739_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H234 zenon_H21c zenon_H1be zenon_H1bd zenon_H1bc zenon_H298 zenon_H299 zenon_H29a zenon_H14a zenon_H14b zenon_H14c zenon_H2a1 zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.18/1.34  apply (zenon_L149_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.18/1.34  apply (zenon_L692_); trivial.
% 1.18/1.34  apply (zenon_L139_); trivial.
% 1.18/1.34  (* end of lemma zenon_L739_ *)
% 1.18/1.34  assert (zenon_L740_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H13b zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H14a zenon_H14b zenon_H14c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H1be zenon_H1bd zenon_H1bc zenon_H3 zenon_H23a.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.18/1.34  apply (zenon_L261_); trivial.
% 1.18/1.34  apply (zenon_L739_); trivial.
% 1.18/1.34  (* end of lemma zenon_L740_ *)
% 1.18/1.34  assert (zenon_L741_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H21c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H1be zenon_H1bd zenon_H1bc zenon_H3 zenon_H23a zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.34  apply (zenon_L141_); trivial.
% 1.18/1.34  apply (zenon_L740_); trivial.
% 1.18/1.34  (* end of lemma zenon_L741_ *)
% 1.18/1.34  assert (zenon_L742_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H158 zenon_H237 zenon_H21c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H1be zenon_H1bd zenon_H1bc zenon_H3 zenon_H23a zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H15 zenon_H243 zenon_H13a.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.34  apply (zenon_L141_); trivial.
% 1.18/1.34  apply (zenon_L265_); trivial.
% 1.18/1.34  apply (zenon_L741_); trivial.
% 1.18/1.34  (* end of lemma zenon_L742_ *)
% 1.18/1.34  assert (zenon_L743_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c1_1 (a2403)) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (~(c3_1 (a2403))) -> (ndr1_0) -> (~(hskp30)) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H29a zenon_H2ad zenon_H299 zenon_Ha zenon_H115.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18f | zenon_intro zenon_H19e ].
% 1.18/1.34  apply (zenon_L139_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H116 ].
% 1.18/1.34  apply (zenon_L659_); trivial.
% 1.18/1.34  exact (zenon_H115 zenon_H116).
% 1.18/1.34  (* end of lemma zenon_L743_ *)
% 1.18/1.34  assert (zenon_L744_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp30)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H2b0 zenon_H115 zenon_H299 zenon_H29a zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H159 zenon_H15a zenon_H15b zenon_H1cb zenon_H13f.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.18/1.34  apply (zenon_L743_); trivial.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.18/1.34  apply (zenon_L231_); trivial.
% 1.18/1.34  exact (zenon_H13f zenon_H140).
% 1.18/1.34  (* end of lemma zenon_L744_ *)
% 1.18/1.34  assert (zenon_L745_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H162 zenon_H12a zenon_H19d zenon_H29a zenon_H299 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H13f zenon_H2b0.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.18/1.34  apply (zenon_L744_); trivial.
% 1.18/1.34  apply (zenon_L287_); trivial.
% 1.18/1.34  (* end of lemma zenon_L745_ *)
% 1.18/1.34  assert (zenon_L746_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H13f zenon_H2b0 zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H3 zenon_H23a zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.34  apply (zenon_L738_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.34  apply (zenon_L12_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.18/1.34  apply (zenon_L228_); trivial.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.18/1.34  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.34  apply (zenon_L742_); trivial.
% 1.18/1.34  apply (zenon_L637_); trivial.
% 1.18/1.34  apply (zenon_L745_); trivial.
% 1.18/1.34  (* end of lemma zenon_L746_ *)
% 1.18/1.34  assert (zenon_L747_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> False).
% 1.18/1.34  do 0 intro. intros zenon_H1ca zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H145 zenon_H1b9.
% 1.18/1.34  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.18/1.34  apply (zenon_L228_); trivial.
% 1.18/1.34  apply (zenon_L688_); trivial.
% 1.18/1.34  (* end of lemma zenon_L747_ *)
% 1.18/1.34  assert (zenon_L748_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H21c zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.35  apply (zenon_L12_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.35  apply (zenon_L747_); trivial.
% 1.18/1.35  apply (zenon_L640_); trivial.
% 1.18/1.35  (* end of lemma zenon_L748_ *)
% 1.18/1.35  assert (zenon_L749_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_H21c zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.35  apply (zenon_L240_); trivial.
% 1.18/1.35  apply (zenon_L748_); trivial.
% 1.18/1.35  (* end of lemma zenon_L749_ *)
% 1.18/1.35  assert (zenon_L750_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H111 zenon_H18d zenon_H59 zenon_H5b zenon_H1db zenon_H1ae zenon_H1cb zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H3 zenon_H23a zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H147 zenon_Hef zenon_Hb1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H10e zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.35  apply (zenon_L738_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.35  apply (zenon_L12_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.18/1.35  apply (zenon_L228_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.35  apply (zenon_L742_); trivial.
% 1.18/1.35  apply (zenon_L685_); trivial.
% 1.18/1.35  apply (zenon_L640_); trivial.
% 1.18/1.35  (* end of lemma zenon_L750_ *)
% 1.18/1.35  assert (zenon_L751_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H2a zenon_H2b zenon_H2c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.35  apply (zenon_L282_); trivial.
% 1.18/1.35  apply (zenon_L629_); trivial.
% 1.18/1.35  (* end of lemma zenon_L751_ *)
% 1.18/1.35  assert (zenon_L752_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H158 zenon_H10e zenon_H2a1 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H13a zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.35  apply (zenon_L40_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.18/1.35  apply (zenon_L691_); trivial.
% 1.18/1.35  apply (zenon_L751_); trivial.
% 1.18/1.35  (* end of lemma zenon_L752_ *)
% 1.18/1.35  assert (zenon_L753_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H158 zenon_H10e zenon_H2a1 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.35  apply (zenon_L738_); trivial.
% 1.18/1.35  apply (zenon_L752_); trivial.
% 1.18/1.35  (* end of lemma zenon_L753_ *)
% 1.18/1.35  assert (zenon_L754_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H158 zenon_H10e zenon_H2a1 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H243 zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.35  apply (zenon_L240_); trivial.
% 1.18/1.35  apply (zenon_L752_); trivial.
% 1.18/1.35  (* end of lemma zenon_L754_ *)
% 1.18/1.35  assert (zenon_L755_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H13e zenon_H217 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H243 zenon_H15 zenon_H73 zenon_H74 zenon_H75 zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H2a1 zenon_H10e zenon_H158 zenon_H4e zenon_H1cd.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.18/1.35  apply (zenon_L753_); trivial.
% 1.18/1.35  apply (zenon_L754_); trivial.
% 1.18/1.35  (* end of lemma zenon_L755_ *)
% 1.18/1.35  assert (zenon_L756_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_H1cd zenon_H4e zenon_H158 zenon_H10e zenon_H2a1 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H15 zenon_H243 zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H13e.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.18/1.35  apply (zenon_L755_); trivial.
% 1.18/1.35  apply (zenon_L45_); trivial.
% 1.18/1.35  (* end of lemma zenon_L756_ *)
% 1.18/1.35  assert (zenon_L757_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H96 zenon_H4e zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H243 zenon_Ha3 zenon_H19f zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H13e zenon_H1cd zenon_H165 zenon_H1db zenon_H1cb zenon_H111 zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_H238 zenon_H227 zenon_Hd9 zenon_H5e zenon_H7c zenon_H1a1 zenon_H237 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Haf zenon_Hb3 zenon_H97.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.18/1.35  apply (zenon_L684_); trivial.
% 1.18/1.35  apply (zenon_L756_); trivial.
% 1.18/1.35  (* end of lemma zenon_L757_ *)
% 1.18/1.35  assert (zenon_L758_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.35  apply (zenon_L346_); trivial.
% 1.18/1.35  apply (zenon_L629_); trivial.
% 1.18/1.35  (* end of lemma zenon_L758_ *)
% 1.18/1.35  assert (zenon_L759_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H15 zenon_H243 zenon_H13a.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.35  apply (zenon_L80_); trivial.
% 1.18/1.35  apply (zenon_L265_); trivial.
% 1.18/1.35  apply (zenon_L758_); trivial.
% 1.18/1.35  (* end of lemma zenon_L759_ *)
% 1.18/1.35  assert (zenon_L760_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H19d zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_H59 zenon_H18d zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.35  apply (zenon_L738_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.35  apply (zenon_L12_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.35  apply (zenon_L759_); trivial.
% 1.18/1.35  apply (zenon_L637_); trivial.
% 1.18/1.35  apply (zenon_L640_); trivial.
% 1.18/1.35  (* end of lemma zenon_L760_ *)
% 1.18/1.35  assert (zenon_L761_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H19d zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_H59 zenon_H18d zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H21c zenon_Hd9 zenon_H1b9 zenon_H13e.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.18/1.35  apply (zenon_L760_); trivial.
% 1.18/1.35  apply (zenon_L749_); trivial.
% 1.18/1.35  apply (zenon_L25_); trivial.
% 1.18/1.35  (* end of lemma zenon_L761_ *)
% 1.18/1.35  assert (zenon_L762_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H13e zenon_H1b9 zenon_Hd9 zenon_H21c zenon_H1ca zenon_H217 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H111 zenon_H18d zenon_H147 zenon_H1ae zenon_H243 zenon_H15 zenon_H12a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H19d zenon_H1cb zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd zenon_H5e zenon_H62.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.18/1.35  apply (zenon_L761_); trivial.
% 1.18/1.35  apply (zenon_L45_); trivial.
% 1.18/1.35  (* end of lemma zenon_L762_ *)
% 1.18/1.35  assert (zenon_L763_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H23a zenon_H3 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H2ab zenon_H237.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.35  apply (zenon_L673_); trivial.
% 1.18/1.35  apply (zenon_L126_); trivial.
% 1.18/1.35  (* end of lemma zenon_L763_ *)
% 1.18/1.35  assert (zenon_L764_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp21)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H13a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_Ha zenon_H15 zenon_H143 zenon_H243.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H184 | zenon_intro zenon_H244 ].
% 1.18/1.35  apply (zenon_L643_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H16 | zenon_intro zenon_H144 ].
% 1.18/1.35  exact (zenon_H15 zenon_H16).
% 1.18/1.35  exact (zenon_H143 zenon_H144).
% 1.18/1.35  apply (zenon_L265_); trivial.
% 1.18/1.35  (* end of lemma zenon_L764_ *)
% 1.18/1.35  assert (zenon_L765_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H14a zenon_H14b zenon_H14c zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19f zenon_H123 zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_Ha zenon_H3 zenon_H23a.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.18/1.35  apply (zenon_L644_); trivial.
% 1.18/1.35  apply (zenon_L693_); trivial.
% 1.18/1.35  (* end of lemma zenon_L765_ *)
% 1.18/1.35  assert (zenon_L766_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H153 zenon_H13a zenon_H23a zenon_H3 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H2a1 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_H237.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.35  apply (zenon_L765_); trivial.
% 1.18/1.35  apply (zenon_L694_); trivial.
% 1.18/1.35  (* end of lemma zenon_L766_ *)
% 1.18/1.35  assert (zenon_L767_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H6d zenon_H1cd zenon_H158 zenon_H2a1 zenon_H21c zenon_H243 zenon_H15 zenon_H237 zenon_H2ab zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H3 zenon_H23a zenon_H189 zenon_H13a.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.35  apply (zenon_L763_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.18/1.35  apply (zenon_L764_); trivial.
% 1.18/1.35  apply (zenon_L766_); trivial.
% 1.18/1.35  (* end of lemma zenon_L767_ *)
% 1.18/1.35  assert (zenon_L768_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H19d zenon_H1cb zenon_H13f zenon_H2b0 zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H147 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.35  apply (zenon_L738_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.35  apply (zenon_L12_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.35  apply (zenon_L759_); trivial.
% 1.18/1.35  apply (zenon_L685_); trivial.
% 1.18/1.35  apply (zenon_L745_); trivial.
% 1.18/1.35  (* end of lemma zenon_L768_ *)
% 1.18/1.35  assert (zenon_L769_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c3_1 (a2403))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (~(hskp10)) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H1a1 zenon_H29a zenon_H298 zenon_H19 zenon_H299 zenon_Hfc zenon_Hfb zenon_Ha zenon_Ha5 zenon_H7c.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ].
% 1.18/1.35  apply (zenon_L645_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ].
% 1.18/1.35  apply (zenon_L66_); trivial.
% 1.18/1.35  exact (zenon_H7c zenon_H7d).
% 1.18/1.35  (* end of lemma zenon_L769_ *)
% 1.18/1.35  assert (zenon_L770_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp10)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (~(c3_1 (a2403))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (c0_1 (a2450)) -> (c1_1 (a2450)) -> (c3_1 (a2450)) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H1cb zenon_H7c zenon_Hfb zenon_Hfc zenon_H299 zenon_H19 zenon_H298 zenon_H29a zenon_H1a1 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H11a zenon_H11b zenon_H11c.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.18/1.35  apply (zenon_L769_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.18/1.35  apply (zenon_L13_); trivial.
% 1.18/1.35  apply (zenon_L76_); trivial.
% 1.18/1.35  (* end of lemma zenon_L770_ *)
% 1.18/1.35  assert (zenon_L771_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp17)) -> (~(hskp18)) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H125 zenon_H1b9 zenon_H2a zenon_H2b zenon_H2c zenon_H1a1 zenon_H29a zenon_H298 zenon_H299 zenon_Hfc zenon_Hfb zenon_H7c zenon_H1cb zenon_H145 zenon_H1b7.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ].
% 1.18/1.35  apply (zenon_L770_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ].
% 1.18/1.35  exact (zenon_H145 zenon_H146).
% 1.18/1.35  exact (zenon_H1b7 zenon_H1b8).
% 1.18/1.35  (* end of lemma zenon_L771_ *)
% 1.18/1.35  assert (zenon_L772_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H109 zenon_H12a zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H1a1 zenon_H7c zenon_H29a zenon_H298 zenon_H299 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hba zenon_Hbb zenon_Hbc zenon_H19d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.18/1.35  apply (zenon_L140_); trivial.
% 1.18/1.35  apply (zenon_L771_); trivial.
% 1.18/1.35  (* end of lemma zenon_L772_ *)
% 1.18/1.35  assert (zenon_L773_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (c2_1 (a2478)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a2478))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H21c zenon_H1be zenon_H1bd zenon_H1bc zenon_H1f2 zenon_Hb zenon_H1f1 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.18/1.35  apply (zenon_L149_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.18/1.35  apply (zenon_L193_); trivial.
% 1.18/1.35  apply (zenon_L139_); trivial.
% 1.18/1.35  (* end of lemma zenon_L773_ *)
% 1.18/1.35  assert (zenon_L774_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp10)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (~(c3_1 (a2403))) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (c0_1 (a2450)) -> (c1_1 (a2450)) -> (c3_1 (a2450)) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H1cb zenon_H7c zenon_Hfb zenon_Hfc zenon_H299 zenon_H2ad zenon_H29a zenon_H1a1 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H11a zenon_H11b zenon_H11c.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ].
% 1.18/1.35  apply (zenon_L659_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ].
% 1.18/1.35  apply (zenon_L66_); trivial.
% 1.18/1.35  exact (zenon_H7c zenon_H7d).
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.18/1.35  apply (zenon_L13_); trivial.
% 1.18/1.35  apply (zenon_L76_); trivial.
% 1.18/1.35  (* end of lemma zenon_L774_ *)
% 1.18/1.35  assert (zenon_L775_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c3_1 (a2450)) -> (c1_1 (a2450)) -> (c0_1 (a2450)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (~(hskp10)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H2b0 zenon_H11c zenon_H11b zenon_H11a zenon_H1a1 zenon_H29a zenon_H299 zenon_Hfc zenon_Hfb zenon_H7c zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H39 zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H13f.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.18/1.35  apply (zenon_L774_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.18/1.35  apply (zenon_L82_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.18/1.35  apply (zenon_L13_); trivial.
% 1.18/1.35  apply (zenon_L230_); trivial.
% 1.18/1.35  exact (zenon_H13f zenon_H140).
% 1.18/1.35  (* end of lemma zenon_L775_ *)
% 1.18/1.35  assert (zenon_L776_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp10)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H125 zenon_H141 zenon_He zenon_Hd zenon_Hc zenon_H1cb zenon_H12d zenon_H12c zenon_H12b zenon_H2c zenon_H2b zenon_H2a zenon_H209 zenon_H20a zenon_H20b zenon_H7c zenon_Hfb zenon_Hfc zenon_H299 zenon_H29a zenon_H1a1 zenon_H2b0 zenon_H13f.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ].
% 1.18/1.35  apply (zenon_L6_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ].
% 1.18/1.35  apply (zenon_L775_); trivial.
% 1.18/1.35  exact (zenon_H13f zenon_H140).
% 1.18/1.35  (* end of lemma zenon_L776_ *)
% 1.18/1.35  assert (zenon_L777_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H109 zenon_H12a zenon_H141 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_He zenon_Hd zenon_Hc zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hba zenon_Hbb zenon_Hbc zenon_H19d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.18/1.35  apply (zenon_L140_); trivial.
% 1.18/1.35  apply (zenon_L776_); trivial.
% 1.18/1.35  (* end of lemma zenon_L777_ *)
% 1.18/1.35  assert (zenon_L778_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H10d zenon_H12a zenon_H2b0 zenon_H13f zenon_H20b zenon_H20a zenon_H209 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H299 zenon_H29a zenon_H19d zenon_H59 zenon_H18d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ].
% 1.18/1.35  apply (zenon_L128_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.18/1.35  apply (zenon_L743_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.18/1.35  apply (zenon_L230_); trivial.
% 1.18/1.35  exact (zenon_H13f zenon_H140).
% 1.18/1.35  exact (zenon_H59 zenon_H5a).
% 1.18/1.35  apply (zenon_L129_); trivial.
% 1.18/1.35  (* end of lemma zenon_L778_ *)
% 1.18/1.35  assert (zenon_L779_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H1b9 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H21c zenon_H2b0 zenon_H201 zenon_H1ca zenon_H4b zenon_H158 zenon_H147 zenon_H1ae zenon_H10e zenon_H27 zenon_H25 zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_H5b zenon_Hb7 zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H1db zenon_H165 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.35  apply (zenon_L738_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.35  apply (zenon_L712_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.35  apply (zenon_L141_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.18/1.35  apply (zenon_L48_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.35  apply (zenon_L175_); trivial.
% 1.18/1.35  apply (zenon_L772_); trivial.
% 1.18/1.35  apply (zenon_L147_); trivial.
% 1.18/1.35  apply (zenon_L148_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.35  apply (zenon_L141_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.18/1.35  apply (zenon_L192_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.18/1.35  apply (zenon_L48_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ].
% 1.18/1.35  apply (zenon_L773_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ].
% 1.18/1.35  apply (zenon_L174_); trivial.
% 1.18/1.35  exact (zenon_H13f zenon_H140).
% 1.18/1.35  apply (zenon_L777_); trivial.
% 1.18/1.35  apply (zenon_L778_); trivial.
% 1.18/1.35  apply (zenon_L86_); trivial.
% 1.18/1.35  apply (zenon_L745_); trivial.
% 1.18/1.35  (* end of lemma zenon_L779_ *)
% 1.18/1.35  assert (zenon_L780_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H5e zenon_H5b zenon_H59 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.35  apply (zenon_L314_); trivial.
% 1.18/1.35  apply (zenon_L631_); trivial.
% 1.18/1.35  (* end of lemma zenon_L780_ *)
% 1.18/1.35  assert (zenon_L781_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H165 zenon_H1db zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H59 zenon_H5b zenon_H5e zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.35  apply (zenon_L780_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.35  apply (zenon_L314_); trivial.
% 1.18/1.35  apply (zenon_L633_); trivial.
% 1.18/1.35  (* end of lemma zenon_L781_ *)
% 1.18/1.35  assert (zenon_L782_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H109 zenon_H12a zenon_H141 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_He zenon_Hd zenon_Hc zenon_Hb5 zenon_H35 zenon_H117.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.18/1.35  apply (zenon_L75_); trivial.
% 1.18/1.35  apply (zenon_L776_); trivial.
% 1.18/1.35  (* end of lemma zenon_L782_ *)
% 1.18/1.35  assert (zenon_L783_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp4)) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H125 zenon_H2b0 zenon_H2a zenon_H2b zenon_H2c zenon_H1a1 zenon_H29a zenon_H299 zenon_Hfc zenon_Hfb zenon_H7c zenon_H1cb zenon_H75 zenon_H74 zenon_H73 zenon_H13f.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.18/1.35  apply (zenon_L774_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.18/1.35  apply (zenon_L29_); trivial.
% 1.18/1.35  exact (zenon_H13f zenon_H140).
% 1.18/1.35  (* end of lemma zenon_L783_ *)
% 1.18/1.35  assert (zenon_L784_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H12a zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H7c zenon_H29a zenon_H299 zenon_H1cb zenon_H19d zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H2a zenon_H2b zenon_H2c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.35  apply (zenon_L282_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.18/1.35  apply (zenon_L140_); trivial.
% 1.18/1.35  apply (zenon_L783_); trivial.
% 1.18/1.35  (* end of lemma zenon_L784_ *)
% 1.18/1.35  assert (zenon_L785_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H13a zenon_Hca zenon_H19d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H117 zenon_H2b0 zenon_H13f zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H1cb zenon_H141 zenon_H12a zenon_H10e zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H2a1 zenon_H158 zenon_H111 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.35  apply (zenon_L31_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.35  apply (zenon_L658_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.35  apply (zenon_L282_); trivial.
% 1.18/1.35  apply (zenon_L782_); trivial.
% 1.18/1.35  apply (zenon_L784_); trivial.
% 1.18/1.35  apply (zenon_L637_); trivial.
% 1.18/1.35  apply (zenon_L745_); trivial.
% 1.18/1.35  (* end of lemma zenon_L785_ *)
% 1.18/1.35  assert (zenon_L786_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_Haf zenon_H13a zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H7e zenon_H7c zenon_H4b zenon_H111 zenon_H158 zenon_H2a1 zenon_H18d zenon_Hb1 zenon_Hef zenon_H147 zenon_H1ae zenon_H10e zenon_H12a zenon_H141 zenon_H1cb zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_H117 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H19d zenon_Hca zenon_H165 zenon_H4e zenon_H1cd.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.35  apply (zenon_L690_); trivial.
% 1.18/1.35  apply (zenon_L785_); trivial.
% 1.18/1.35  apply (zenon_L45_); trivial.
% 1.18/1.35  (* end of lemma zenon_L786_ *)
% 1.18/1.35  assert (zenon_L787_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H13a zenon_H201 zenon_Hca zenon_H10e zenon_H105 zenon_H2a1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_Hd9 zenon_Hd7 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.35  apply (zenon_L737_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.18/1.35  apply (zenon_L192_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.18/1.35  apply (zenon_L48_); trivial.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ].
% 1.18/1.35  apply (zenon_L194_); trivial.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ].
% 1.18/1.35  apply (zenon_L174_); trivial.
% 1.18/1.35  exact (zenon_H13f zenon_H140).
% 1.18/1.35  apply (zenon_L719_); trivial.
% 1.18/1.35  (* end of lemma zenon_L787_ *)
% 1.18/1.35  assert (zenon_L788_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H4b zenon_H158 zenon_H145 zenon_H147 zenon_H1ae zenon_H13a zenon_H201 zenon_Hca zenon_H10e zenon_H105 zenon_H2a1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_Hd9 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_H111.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.35  apply (zenon_L787_); trivial.
% 1.18/1.35  apply (zenon_L155_); trivial.
% 1.18/1.35  apply (zenon_L637_); trivial.
% 1.18/1.35  (* end of lemma zenon_L788_ *)
% 1.18/1.35  assert (zenon_L789_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.18/1.35  do 0 intro. intros zenon_H162 zenon_H111 zenon_H158 zenon_H10e zenon_H105 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1db zenon_Hb7 zenon_H5b zenon_H1 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_H1cb zenon_H12a zenon_Hca.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.18/1.35  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.18/1.35  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.35  apply (zenon_L153_); trivial.
% 1.18/1.35  apply (zenon_L721_); trivial.
% 1.18/1.35  (* end of lemma zenon_L789_ *)
% 1.18/1.35  assert (zenon_L790_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H1cd zenon_H165 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1db zenon_H111 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hb1 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H2a1 zenon_H105 zenon_H10e zenon_Hca zenon_H201 zenon_H1ae zenon_H147 zenon_H158 zenon_H4b zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.36  apply (zenon_L738_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.36  apply (zenon_L788_); trivial.
% 1.18/1.36  apply (zenon_L789_); trivial.
% 1.18/1.36  (* end of lemma zenon_L790_ *)
% 1.18/1.36  assert (zenon_L791_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.36  apply (zenon_L340_); trivial.
% 1.18/1.36  apply (zenon_L631_); trivial.
% 1.18/1.36  (* end of lemma zenon_L791_ *)
% 1.18/1.36  assert (zenon_L792_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H165 zenon_H105 zenon_H5b zenon_H1db zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.36  apply (zenon_L791_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.36  apply (zenon_L340_); trivial.
% 1.18/1.36  apply (zenon_L667_); trivial.
% 1.18/1.36  (* end of lemma zenon_L792_ *)
% 1.18/1.36  assert (zenon_L793_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_H145 zenon_H147 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.36  apply (zenon_L204_); trivial.
% 1.18/1.36  apply (zenon_L685_); trivial.
% 1.18/1.36  (* end of lemma zenon_L793_ *)
% 1.18/1.36  assert (zenon_L794_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H4a zenon_H165 zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H147 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.36  apply (zenon_L793_); trivial.
% 1.18/1.36  apply (zenon_L745_); trivial.
% 1.18/1.36  (* end of lemma zenon_L794_ *)
% 1.18/1.36  assert (zenon_L795_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H2b0 zenon_H117 zenon_H4b zenon_H158 zenon_H147 zenon_H201 zenon_Hca zenon_H10e zenon_H105 zenon_H2a1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_Hb3 zenon_H25 zenon_H27 zenon_H111 zenon_H12a zenon_H19d zenon_H1db zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H165 zenon_H189 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.36  apply (zenon_L729_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.18/1.36  apply (zenon_L787_); trivial.
% 1.18/1.36  apply (zenon_L731_); trivial.
% 1.18/1.36  apply (zenon_L685_); trivial.
% 1.18/1.36  apply (zenon_L789_); trivial.
% 1.18/1.36  apply (zenon_L794_); trivial.
% 1.18/1.36  (* end of lemma zenon_L795_ *)
% 1.18/1.36  assert (zenon_L796_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H10e zenon_H12a zenon_H141 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_H1bc zenon_H1bd zenon_H1be zenon_H1f1 zenon_H1f2 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_Hb5 zenon_H35 zenon_H117 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.36  apply (zenon_L346_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.18/1.36  apply (zenon_L75_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ].
% 1.18/1.36  apply (zenon_L773_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ].
% 1.18/1.36  apply (zenon_L775_); trivial.
% 1.18/1.36  exact (zenon_H13f zenon_H140).
% 1.18/1.36  (* end of lemma zenon_L796_ *)
% 1.18/1.36  assert (zenon_L797_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_Hc5 zenon_H237 zenon_H1a1 zenon_H7c zenon_H12b zenon_H12c zenon_H12d zenon_H3 zenon_H23a.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.18/1.36  apply (zenon_L261_); trivial.
% 1.18/1.36  apply (zenon_L255_); trivial.
% 1.18/1.36  (* end of lemma zenon_L797_ *)
% 1.18/1.36  assert (zenon_L798_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1b9 zenon_H201 zenon_H237 zenon_H3 zenon_H23a zenon_Hef zenon_Hb1 zenon_H21c zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H7c zenon_H1cb zenon_H141 zenon_H10e zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H147 zenon_H59 zenon_H18d zenon_H2a1 zenon_H158 zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.36  apply (zenon_L738_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.36  apply (zenon_L12_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.18/1.36  apply (zenon_L228_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.36  apply (zenon_L141_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.18/1.36  apply (zenon_L192_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.18/1.36  apply (zenon_L796_); trivial.
% 1.18/1.36  apply (zenon_L797_); trivial.
% 1.18/1.36  apply (zenon_L637_); trivial.
% 1.18/1.36  apply (zenon_L640_); trivial.
% 1.18/1.36  (* end of lemma zenon_L798_ *)
% 1.18/1.36  assert (zenon_L799_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H19f zenon_H20b zenon_H20a zenon_H209 zenon_H2a zenon_H2b zenon_H2c zenon_H159 zenon_H15a zenon_H15b zenon_H1cb zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.18/1.36  apply (zenon_L231_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.18/1.36  apply (zenon_L628_); trivial.
% 1.18/1.36  exact (zenon_H123 zenon_H124).
% 1.18/1.36  (* end of lemma zenon_L799_ *)
% 1.18/1.36  assert (zenon_L800_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H162 zenon_H13a zenon_H189 zenon_H187 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.36  apply (zenon_L799_); trivial.
% 1.18/1.36  apply (zenon_L126_); trivial.
% 1.18/1.36  (* end of lemma zenon_L800_ *)
% 1.18/1.36  assert (zenon_L801_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H4a zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H59 zenon_H5b zenon_H5e zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.36  apply (zenon_L780_); trivial.
% 1.18/1.36  apply (zenon_L800_); trivial.
% 1.18/1.36  (* end of lemma zenon_L801_ *)
% 1.18/1.36  assert (zenon_L802_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H4e zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H59 zenon_H5b zenon_H5e zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.36  apply (zenon_L12_); trivial.
% 1.18/1.36  apply (zenon_L801_); trivial.
% 1.18/1.36  (* end of lemma zenon_L802_ *)
% 1.18/1.36  assert (zenon_L803_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H1db zenon_H1b9 zenon_H21c zenon_H1ae zenon_H1ca zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H5e zenon_H5b zenon_H59 zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.36  apply (zenon_L802_); trivial.
% 1.18/1.36  apply (zenon_L748_); trivial.
% 1.18/1.36  (* end of lemma zenon_L803_ *)
% 1.18/1.36  assert (zenon_L804_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (c0_1 (a2409)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))) -> (~(hskp4)) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H2b0 zenon_Hfc zenon_Hfb zenon_H10c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H119 zenon_H13f.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.18/1.36  apply (zenon_L699_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.18/1.36  apply (zenon_L230_); trivial.
% 1.18/1.36  exact (zenon_H13f zenon_H140).
% 1.18/1.36  (* end of lemma zenon_L804_ *)
% 1.18/1.36  assert (zenon_L805_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (c0_1 (a2409)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(hskp4)) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H1cb zenon_H12d zenon_H12c zenon_H12b zenon_H39 zenon_H2c zenon_H2b zenon_H2a zenon_H2b0 zenon_Hfc zenon_Hfb zenon_H10c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H13f.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.18/1.36  apply (zenon_L82_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.18/1.36  apply (zenon_L13_); trivial.
% 1.18/1.36  apply (zenon_L804_); trivial.
% 1.18/1.36  (* end of lemma zenon_L805_ *)
% 1.18/1.36  assert (zenon_L806_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H13b zenon_H201 zenon_H10e zenon_H141 zenon_H2a zenon_H2b zenon_H2c zenon_H2b0 zenon_H13f zenon_H20b zenon_H20a zenon_H209 zenon_H299 zenon_H29a zenon_H2a1 zenon_H298 zenon_H105 zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.18/1.36  apply (zenon_L192_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.36  apply (zenon_L346_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ].
% 1.18/1.36  apply (zenon_L194_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ].
% 1.18/1.36  apply (zenon_L805_); trivial.
% 1.18/1.36  exact (zenon_H13f zenon_H140).
% 1.18/1.36  (* end of lemma zenon_L806_ *)
% 1.18/1.36  assert (zenon_L807_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H111 zenon_H18d zenon_H59 zenon_H5b zenon_H1db zenon_H1ae zenon_H201 zenon_H10e zenon_H141 zenon_H2b0 zenon_H13f zenon_H2a1 zenon_H105 zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hef zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H147 zenon_H158 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.36  apply (zenon_L738_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.36  apply (zenon_L12_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.36  apply (zenon_L141_); trivial.
% 1.18/1.36  apply (zenon_L806_); trivial.
% 1.18/1.36  apply (zenon_L685_); trivial.
% 1.18/1.36  apply (zenon_L640_); trivial.
% 1.18/1.36  (* end of lemma zenon_L807_ *)
% 1.18/1.36  assert (zenon_L808_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H13e zenon_H1b9 zenon_H21c zenon_H1ca zenon_Hd9 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H147 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hef zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H105 zenon_H2a1 zenon_H13f zenon_H2b0 zenon_H141 zenon_H10e zenon_H201 zenon_H1ae zenon_H1db zenon_H5b zenon_H59 zenon_H18d zenon_H111 zenon_H165 zenon_H4e zenon_H1cd.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.18/1.36  apply (zenon_L807_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.36  apply (zenon_L792_); trivial.
% 1.18/1.36  apply (zenon_L748_); trivial.
% 1.18/1.36  (* end of lemma zenon_L808_ *)
% 1.18/1.36  assert (zenon_L809_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H12a zenon_H141 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_He zenon_Hd zenon_Hc zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.36  apply (zenon_L346_); trivial.
% 1.18/1.36  apply (zenon_L777_); trivial.
% 1.18/1.36  (* end of lemma zenon_L809_ *)
% 1.18/1.36  assert (zenon_L810_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H1b9 zenon_H201 zenon_He zenon_Hd zenon_Hc zenon_Hef zenon_Hb1 zenon_H21c zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H7c zenon_H1cb zenon_H141 zenon_H10e zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H147 zenon_H59 zenon_H18d zenon_H2a1 zenon_H158 zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.36  apply (zenon_L738_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.36  apply (zenon_L12_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.18/1.36  apply (zenon_L228_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.36  apply (zenon_L141_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.18/1.36  apply (zenon_L192_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.18/1.36  apply (zenon_L796_); trivial.
% 1.18/1.36  apply (zenon_L809_); trivial.
% 1.18/1.36  apply (zenon_L637_); trivial.
% 1.18/1.36  apply (zenon_L745_); trivial.
% 1.18/1.36  (* end of lemma zenon_L810_ *)
% 1.18/1.36  assert (zenon_L811_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c3_1 (a2432)) -> (~(c0_1 (a2432))) -> (c1_1 (a2432)) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (~(hskp29)) -> (~(hskp0)) -> False).
% 1.18/1.36  do 0 intro. intros zenon_Hef zenon_H3c zenon_H3a zenon_H3b zenon_Ha zenon_Hf9 zenon_Hed zenon_Hb1.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ].
% 1.18/1.36  apply (zenon_L388_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ].
% 1.18/1.36  exact (zenon_Hed zenon_Hee).
% 1.18/1.36  exact (zenon_Hb1 zenon_Hb2).
% 1.18/1.36  (* end of lemma zenon_L811_ *)
% 1.18/1.36  assert (zenon_L812_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H109 zenon_H2ab zenon_H66 zenon_H65 zenon_H64 zenon_H1be zenon_H1bd zenon_H1bc zenon_H2a1 zenon_H29a zenon_H299 zenon_H298.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H63 | zenon_intro zenon_H2ac ].
% 1.18/1.36  apply (zenon_L27_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1bb | zenon_intro zenon_Hf9 ].
% 1.18/1.36  apply (zenon_L149_); trivial.
% 1.18/1.36  apply (zenon_L698_); trivial.
% 1.18/1.36  (* end of lemma zenon_L812_ *)
% 1.18/1.36  assert (zenon_L813_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H45 zenon_H10e zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H64 zenon_H65 zenon_H66 zenon_H1bc zenon_H1bd zenon_H1be zenon_Hef zenon_Hb1 zenon_H2ab.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H63 | zenon_intro zenon_H2ac ].
% 1.18/1.36  apply (zenon_L27_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1bb | zenon_intro zenon_Hf9 ].
% 1.18/1.36  apply (zenon_L149_); trivial.
% 1.18/1.36  apply (zenon_L811_); trivial.
% 1.18/1.36  apply (zenon_L812_); trivial.
% 1.18/1.36  (* end of lemma zenon_L813_ *)
% 1.18/1.36  assert (zenon_L814_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H1c5 zenon_H4b zenon_H10e zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_Hef zenon_H2ab zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.36  apply (zenon_L204_); trivial.
% 1.18/1.36  apply (zenon_L813_); trivial.
% 1.18/1.36  (* end of lemma zenon_L814_ *)
% 1.18/1.36  assert (zenon_L815_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_H1b9 zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H2ab zenon_Hef zenon_H2a1 zenon_H10e zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H189 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.36  apply (zenon_L729_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.36  apply (zenon_L12_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.18/1.36  apply (zenon_L228_); trivial.
% 1.18/1.36  apply (zenon_L814_); trivial.
% 1.18/1.36  apply (zenon_L745_); trivial.
% 1.18/1.36  (* end of lemma zenon_L815_ *)
% 1.18/1.36  assert (zenon_L816_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H6d zenon_H62 zenon_H141 zenon_He zenon_Hd zenon_Hc zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H13a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H4b zenon_H10e zenon_H2a1 zenon_Hef zenon_H2ab zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1b9 zenon_H2b0 zenon_H13f zenon_H209 zenon_H20a zenon_H20b zenon_H165 zenon_H4e zenon_H1cd.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.18/1.36  apply (zenon_L815_); trivial.
% 1.18/1.36  apply (zenon_L115_); trivial.
% 1.18/1.36  (* end of lemma zenon_L816_ *)
% 1.18/1.36  assert (zenon_L817_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H13a zenon_H243 zenon_H15 zenon_H255 zenon_H143 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.36  apply (zenon_L360_); trivial.
% 1.18/1.36  apply (zenon_L265_); trivial.
% 1.18/1.36  (* end of lemma zenon_L817_ *)
% 1.18/1.36  assert (zenon_L818_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H2a1 zenon_H14c zenon_H14b zenon_H14a zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_Hb zenon_H159 zenon_H15a zenon_H15b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H149 | zenon_intro zenon_H2a2 ].
% 1.18/1.36  apply (zenon_L95_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H199 | zenon_intro zenon_H1dd ].
% 1.18/1.36  apply (zenon_L628_); trivial.
% 1.18/1.36  generalize (zenon_H1dd (a2427)). zenon_intro zenon_H2ba.
% 1.18/1.36  apply (zenon_imply_s _ _ zenon_H2ba); [ zenon_intro zenon_H9 | zenon_intro zenon_H2bb ].
% 1.18/1.36  exact (zenon_H9 zenon_Ha).
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H2bc | zenon_intro zenon_H15e ].
% 1.18/1.36  generalize (zenon_Hb (a2427)). zenon_intro zenon_H2bd.
% 1.18/1.36  apply (zenon_imply_s _ _ zenon_H2bd); [ zenon_intro zenon_H9 | zenon_intro zenon_H2be ].
% 1.18/1.36  exact (zenon_H9 zenon_Ha).
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2bf ].
% 1.18/1.36  exact (zenon_H2bc zenon_H2c0).
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H15f | zenon_intro zenon_H161 ].
% 1.18/1.36  exact (zenon_H159 zenon_H15f).
% 1.18/1.36  exact (zenon_H161 zenon_H15a).
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ].
% 1.18/1.36  exact (zenon_H161 zenon_H15a).
% 1.18/1.36  exact (zenon_H160 zenon_H15b).
% 1.18/1.36  (* end of lemma zenon_L818_ *)
% 1.18/1.36  assert (zenon_L819_ : ((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H264 zenon_H154 zenon_H15b zenon_H15a zenon_H159 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H14a zenon_H14b zenon_H14c.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_Ha. zenon_intro zenon_H265.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H25b. zenon_intro zenon_H266.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H25d.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 1.18/1.36  apply (zenon_L353_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 1.18/1.36  apply (zenon_L818_); trivial.
% 1.18/1.36  apply (zenon_L95_); trivial.
% 1.18/1.36  (* end of lemma zenon_L819_ *)
% 1.18/1.36  assert (zenon_L820_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H153 zenon_H267 zenon_H154 zenon_H298 zenon_H299 zenon_H29a zenon_H159 zenon_H15a zenon_H15b zenon_H2a1 zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H258 | zenon_intro zenon_H264 ].
% 1.18/1.36  apply (zenon_L352_); trivial.
% 1.18/1.36  apply (zenon_L819_); trivial.
% 1.18/1.36  (* end of lemma zenon_L820_ *)
% 1.18/1.36  assert (zenon_L821_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H4e zenon_H165 zenon_H267 zenon_H154 zenon_H257 zenon_H12a zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H187 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.36  apply (zenon_L12_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.36  apply (zenon_L632_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.18/1.36  apply (zenon_L817_); trivial.
% 1.18/1.36  apply (zenon_L820_); trivial.
% 1.18/1.36  (* end of lemma zenon_L821_ *)
% 1.18/1.36  assert (zenon_L822_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H3 zenon_H23a zenon_H117 zenon_H19d zenon_Hca zenon_H12a zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.18/1.36  apply (zenon_L12_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.18/1.36  apply (zenon_L228_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.18/1.36  apply (zenon_L817_); trivial.
% 1.18/1.36  apply (zenon_L741_); trivial.
% 1.18/1.36  apply (zenon_L637_); trivial.
% 1.18/1.36  apply (zenon_L640_); trivial.
% 1.18/1.36  (* end of lemma zenon_L822_ *)
% 1.18/1.36  assert (zenon_L823_ : ((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H264 zenon_H2b8 zenon_H29a zenon_H299 zenon_H298 zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_Ha. zenon_intro zenon_H265.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H25b. zenon_intro zenon_H266.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H25d.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H2b9 ].
% 1.18/1.36  apply (zenon_L353_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H199 | zenon_intro zenon_H18f ].
% 1.18/1.36  apply (zenon_L628_); trivial.
% 1.18/1.36  apply (zenon_L139_); trivial.
% 1.18/1.36  (* end of lemma zenon_L823_ *)
% 1.18/1.36  assert (zenon_L824_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H1ce zenon_H267 zenon_H2b8 zenon_H29a zenon_H299 zenon_H298 zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H258 | zenon_intro zenon_H264 ].
% 1.18/1.36  apply (zenon_L352_); trivial.
% 1.18/1.36  apply (zenon_L823_); trivial.
% 1.18/1.36  (* end of lemma zenon_L824_ *)
% 1.18/1.36  assert (zenon_L825_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H267 zenon_H2b8 zenon_H29a zenon_H299 zenon_H298 zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257 zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.36  apply (zenon_L240_); trivial.
% 1.18/1.36  apply (zenon_L824_); trivial.
% 1.18/1.36  (* end of lemma zenon_L825_ *)
% 1.18/1.36  assert (zenon_L826_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H13e zenon_H2b8 zenon_H217 zenon_H4e zenon_H165 zenon_H267 zenon_H154 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H1ca zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H23a zenon_H3 zenon_H21c zenon_H237 zenon_H1b9 zenon_H1cb zenon_H1db zenon_H5b zenon_H1cd zenon_H5e zenon_H62.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.18/1.36  apply (zenon_L821_); trivial.
% 1.18/1.36  apply (zenon_L822_); trivial.
% 1.18/1.36  apply (zenon_L825_); trivial.
% 1.18/1.36  apply (zenon_L25_); trivial.
% 1.18/1.36  apply (zenon_L45_); trivial.
% 1.18/1.36  (* end of lemma zenon_L826_ *)
% 1.18/1.36  assert (zenon_L827_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H13a zenon_H237 zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.36  apply (zenon_L658_); trivial.
% 1.18/1.36  apply (zenon_L648_); trivial.
% 1.18/1.36  (* end of lemma zenon_L827_ *)
% 1.18/1.36  assert (zenon_L828_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a1 zenon_H1be zenon_H1bd zenon_H1bc zenon_H3 zenon_H23a zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.18/1.36  apply (zenon_L658_); trivial.
% 1.18/1.36  apply (zenon_L740_); trivial.
% 1.18/1.36  (* end of lemma zenon_L828_ *)
% 1.18/1.36  assert (zenon_L829_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (~(c2_1 (a2407))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H1cb zenon_H15b zenon_H15a zenon_H159 zenon_H24e zenon_H24c zenon_H166 zenon_H24d zenon_Ha zenon_H19 zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.18/1.36  apply (zenon_L99_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.18/1.36  apply (zenon_L364_); trivial.
% 1.18/1.36  apply (zenon_L144_); trivial.
% 1.18/1.36  (* end of lemma zenon_L829_ *)
% 1.18/1.36  assert (zenon_L830_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H15b zenon_H15a zenon_H159 zenon_H29a zenon_H299 zenon_H298 zenon_Hef zenon_Hb1 zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H16f.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.18/1.36  apply (zenon_L818_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ].
% 1.18/1.36  apply (zenon_L829_); trivial.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ].
% 1.18/1.36  exact (zenon_Hed zenon_Hee).
% 1.18/1.36  exact (zenon_Hb1 zenon_Hb2).
% 1.18/1.36  exact (zenon_Hed zenon_Hee).
% 1.18/1.36  apply (zenon_L629_); trivial.
% 1.18/1.36  (* end of lemma zenon_L830_ *)
% 1.18/1.36  assert (zenon_L831_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_Hef zenon_Hb1 zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H13a.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.18/1.36  apply (zenon_L691_); trivial.
% 1.18/1.36  apply (zenon_L830_); trivial.
% 1.18/1.36  (* end of lemma zenon_L831_ *)
% 1.18/1.36  assert (zenon_L832_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.18/1.36  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H13a zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Hc3 zenon_H126 zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.18/1.36  apply (zenon_L827_); trivial.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.18/1.36  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.18/1.36  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.18/1.36  apply (zenon_L817_); trivial.
% 1.18/1.36  apply (zenon_L828_); trivial.
% 1.18/1.36  apply (zenon_L831_); trivial.
% 1.18/1.36  (* end of lemma zenon_L832_ *)
% 1.18/1.36  assert (zenon_L833_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Hc3 zenon_H126 zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H189 zenon_H13a.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.37  apply (zenon_L690_); trivial.
% 1.22/1.37  apply (zenon_L832_); trivial.
% 1.22/1.37  (* end of lemma zenon_L833_ *)
% 1.22/1.37  assert (zenon_L834_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H80 zenon_H97 zenon_Haf zenon_H2ab zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_H4b zenon_H147 zenon_H1ae zenon_Hd9 zenon_H18d zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H1a zenon_H1b zenon_H1c zenon_H13e.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.37  apply (zenon_L833_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.37  apply (zenon_L240_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.37  apply (zenon_L747_); trivial.
% 1.22/1.37  apply (zenon_L831_); trivial.
% 1.22/1.37  apply (zenon_L656_); trivial.
% 1.22/1.37  (* end of lemma zenon_L834_ *)
% 1.22/1.37  assert (zenon_L835_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H8f zenon_H96 zenon_H21c zenon_H15 zenon_H243 zenon_H62 zenon_H5e zenon_H4e zenon_H165 zenon_H105 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H237 zenon_H2ab zenon_H19f zenon_H3 zenon_H23a zenon_H13a zenon_H97.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.37  apply (zenon_L676_); trivial.
% 1.22/1.37  apply (zenon_L695_); trivial.
% 1.22/1.37  (* end of lemma zenon_L835_ *)
% 1.22/1.37  assert (zenon_L836_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H1cd zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H1db zenon_H5b zenon_H165 zenon_H4e.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.37  apply (zenon_L40_); trivial.
% 1.22/1.37  apply (zenon_L634_); trivial.
% 1.22/1.37  apply (zenon_L704_); trivial.
% 1.22/1.37  (* end of lemma zenon_L836_ *)
% 1.22/1.37  assert (zenon_L837_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.37  apply (zenon_L836_); trivial.
% 1.22/1.37  apply (zenon_L45_); trivial.
% 1.22/1.37  (* end of lemma zenon_L837_ *)
% 1.22/1.37  assert (zenon_L838_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H13b zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H14c zenon_H14b zenon_H14a zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.37  apply (zenon_L367_); trivial.
% 1.22/1.37  apply (zenon_L629_); trivial.
% 1.22/1.37  (* end of lemma zenon_L838_ *)
% 1.22/1.37  assert (zenon_L839_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H153 zenon_H13a zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.37  apply (zenon_L80_); trivial.
% 1.22/1.37  apply (zenon_L838_); trivial.
% 1.22/1.37  (* end of lemma zenon_L839_ *)
% 1.22/1.37  assert (zenon_L840_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H10d zenon_H158 zenon_H10e zenon_H2a1 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hb1 zenon_Hef zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H13a.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.37  apply (zenon_L691_); trivial.
% 1.22/1.37  apply (zenon_L636_); trivial.
% 1.22/1.37  (* end of lemma zenon_L840_ *)
% 1.22/1.37  assert (zenon_L841_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H45 zenon_H111 zenon_H158 zenon_H10e zenon_H2a1 zenon_H18d zenon_H59 zenon_Hb1 zenon_Hef zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H13a zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.37  apply (zenon_L143_); trivial.
% 1.22/1.37  apply (zenon_L840_); trivial.
% 1.22/1.37  (* end of lemma zenon_L841_ *)
% 1.22/1.37  assert (zenon_L842_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H1cd zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H59 zenon_H19d zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H189 zenon_H13a.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.37  apply (zenon_L690_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.37  apply (zenon_L691_); trivial.
% 1.22/1.37  apply (zenon_L839_); trivial.
% 1.22/1.37  apply (zenon_L155_); trivial.
% 1.22/1.37  apply (zenon_L841_); trivial.
% 1.22/1.37  (* end of lemma zenon_L842_ *)
% 1.22/1.37  assert (zenon_L843_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H13e zenon_H4e zenon_H247 zenon_Ha3 zenon_H217 zenon_H13a zenon_H189 zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H111 zenon_H19d zenon_H59 zenon_H18d zenon_H243 zenon_H15 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1cd.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.37  apply (zenon_L842_); trivial.
% 1.22/1.37  apply (zenon_L754_); trivial.
% 1.22/1.37  (* end of lemma zenon_L843_ *)
% 1.22/1.37  assert (zenon_L844_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H96 zenon_Hc zenon_Hd zenon_He zenon_H24e zenon_H24c zenon_H24d zenon_H16f zenon_H126 zenon_Hc6 zenon_H15 zenon_H243 zenon_H19f zenon_H13a zenon_H217 zenon_H247 zenon_H13e zenon_H1cd zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H1db zenon_H165 zenon_H4e zenon_Haf zenon_H7c zenon_Hb3 zenon_H97.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.37  apply (zenon_L837_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.37  apply (zenon_L843_); trivial.
% 1.22/1.37  apply (zenon_L45_); trivial.
% 1.22/1.37  (* end of lemma zenon_L844_ *)
% 1.22/1.37  assert (zenon_L845_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H1cd zenon_H2b8 zenon_H29a zenon_H299 zenon_H298 zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.37  apply (zenon_L362_); trivial.
% 1.22/1.37  apply (zenon_L824_); trivial.
% 1.22/1.37  (* end of lemma zenon_L845_ *)
% 1.22/1.37  assert (zenon_L846_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H13e zenon_H111 zenon_H18d zenon_Hd9 zenon_H59 zenon_H5b zenon_H5e zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H298 zenon_H299 zenon_H29a zenon_H2b8 zenon_H1cd.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.37  apply (zenon_L845_); trivial.
% 1.22/1.37  apply (zenon_L357_); trivial.
% 1.22/1.37  (* end of lemma zenon_L846_ *)
% 1.22/1.37  assert (zenon_L847_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H97 zenon_H6e zenon_H15 zenon_H1cd zenon_H2b8 zenon_H29a zenon_H299 zenon_H298 zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H5e zenon_H5b zenon_Hd9 zenon_H18d zenon_H111 zenon_H13e.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.37  apply (zenon_L846_); trivial.
% 1.22/1.37  apply (zenon_L28_); trivial.
% 1.22/1.37  (* end of lemma zenon_L847_ *)
% 1.22/1.37  assert (zenon_L848_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp29)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H125 zenon_H154 zenon_Hed zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H24e zenon_H24c zenon_H24d zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H14a zenon_H14b zenon_H14c.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.22/1.37  apply (zenon_L6_); trivial.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.22/1.37  apply (zenon_L393_); trivial.
% 1.22/1.37  exact (zenon_Hed zenon_Hee).
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 1.22/1.37  apply (zenon_L6_); trivial.
% 1.22/1.37  apply (zenon_L95_); trivial.
% 1.22/1.37  (* end of lemma zenon_L848_ *)
% 1.22/1.37  assert (zenon_L849_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp29)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H12a zenon_H154 zenon_H14c zenon_H14b zenon_H14a zenon_Hc zenon_Hd zenon_He zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_Hed zenon_H16f zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hba zenon_Hbb zenon_Hbc zenon_H19d.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.22/1.37  apply (zenon_L140_); trivial.
% 1.22/1.37  apply (zenon_L848_); trivial.
% 1.22/1.37  (* end of lemma zenon_L849_ *)
% 1.22/1.37  assert (zenon_L850_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H158 zenon_Hca zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H12a zenon_H154 zenon_Hc zenon_Hd zenon_He zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H35 zenon_H117 zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H15 zenon_H243 zenon_H13a.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.37  apply (zenon_L691_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.22/1.37  apply (zenon_L75_); trivial.
% 1.22/1.37  apply (zenon_L848_); trivial.
% 1.22/1.37  apply (zenon_L717_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.37  apply (zenon_L849_); trivial.
% 1.22/1.37  apply (zenon_L719_); trivial.
% 1.22/1.37  (* end of lemma zenon_L850_ *)
% 1.22/1.37  assert (zenon_L851_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hef zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H16f zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.37  apply (zenon_L398_); trivial.
% 1.22/1.37  apply (zenon_L830_); trivial.
% 1.22/1.37  (* end of lemma zenon_L851_ *)
% 1.22/1.37  assert (zenon_L852_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H4a zenon_H165 zenon_H16f zenon_H158 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H147 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H2a1 zenon_H10e zenon_H4b.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.37  apply (zenon_L402_); trivial.
% 1.22/1.37  apply (zenon_L685_); trivial.
% 1.22/1.37  apply (zenon_L851_); trivial.
% 1.22/1.37  (* end of lemma zenon_L852_ *)
% 1.22/1.37  assert (zenon_L853_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H255 zenon_Hb1 zenon_Hb3 zenon_H147 zenon_Hef zenon_H158 zenon_Hca zenon_H19d zenon_H12a zenon_H154 zenon_Hc zenon_Hd zenon_He zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H117 zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H10e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H13a zenon_H4b.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.37  apply (zenon_L850_); trivial.
% 1.22/1.37  apply (zenon_L722_); trivial.
% 1.22/1.37  apply (zenon_L852_); trivial.
% 1.22/1.37  (* end of lemma zenon_L853_ *)
% 1.22/1.37  assert (zenon_L854_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H255 zenon_Hb1 zenon_Hb3 zenon_H147 zenon_Hef zenon_H158 zenon_Hca zenon_H19d zenon_H12a zenon_H154 zenon_Hc zenon_Hd zenon_He zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H117 zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H10e zenon_H15 zenon_H243 zenon_H4b zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H189 zenon_H13a.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.37  apply (zenon_L690_); trivial.
% 1.22/1.37  apply (zenon_L853_); trivial.
% 1.22/1.37  (* end of lemma zenon_L854_ *)
% 1.22/1.37  assert (zenon_L855_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H6d zenon_H62 zenon_H21c zenon_H8d zenon_H13a zenon_H189 zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H4b zenon_H243 zenon_H15 zenon_H10e zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H117 zenon_H16f zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_He zenon_Hd zenon_Hc zenon_H154 zenon_H12a zenon_H19d zenon_Hca zenon_H158 zenon_Hef zenon_H147 zenon_Hb3 zenon_Hb1 zenon_H255 zenon_H165 zenon_H4e zenon_H1cd.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.37  apply (zenon_L854_); trivial.
% 1.22/1.37  apply (zenon_L736_); trivial.
% 1.22/1.37  (* end of lemma zenon_L855_ *)
% 1.22/1.37  assert (zenon_L856_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H21c zenon_H8d zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H154 zenon_H147 zenon_Hb3 zenon_H255 zenon_H165 zenon_H1cd zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_Ha3 zenon_H247 zenon_H4e zenon_H13e.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.37  apply (zenon_L843_); trivial.
% 1.22/1.37  apply (zenon_L855_); trivial.
% 1.22/1.37  (* end of lemma zenon_L856_ *)
% 1.22/1.37  assert (zenon_L857_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H4e zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H12a zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H187 zenon_H189 zenon_H13a zenon_H33 zenon_H37 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.37  apply (zenon_L12_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.37  apply (zenon_L16_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.37  apply (zenon_L361_); trivial.
% 1.22/1.37  apply (zenon_L666_); trivial.
% 1.22/1.37  (* end of lemma zenon_L857_ *)
% 1.22/1.37  assert (zenon_L858_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H19d zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H3 zenon_H23a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H12a zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.37  apply (zenon_L12_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.22/1.37  apply (zenon_L228_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.37  apply (zenon_L817_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.37  apply (zenon_L80_); trivial.
% 1.22/1.37  apply (zenon_L740_); trivial.
% 1.22/1.37  apply (zenon_L637_); trivial.
% 1.22/1.37  apply (zenon_L640_); trivial.
% 1.22/1.37  (* end of lemma zenon_L858_ *)
% 1.22/1.37  assert (zenon_L859_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H8f zenon_H96 zenon_H62 zenon_H5e zenon_H1cd zenon_H165 zenon_H1db zenon_H1cb zenon_H19d zenon_H1b9 zenon_H237 zenon_H21c zenon_H3 zenon_H23a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_H18d zenon_H111 zenon_H1ca zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H37 zenon_H33 zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_Hef zenon_Hb1 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H4e zenon_H217 zenon_H257 zenon_H2b8 zenon_H267 zenon_H13e zenon_H19f zenon_H2ab zenon_H97.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.37  apply (zenon_L857_); trivial.
% 1.22/1.37  apply (zenon_L858_); trivial.
% 1.22/1.37  apply (zenon_L825_); trivial.
% 1.22/1.37  apply (zenon_L25_); trivial.
% 1.22/1.37  apply (zenon_L767_); trivial.
% 1.22/1.37  apply (zenon_L695_); trivial.
% 1.22/1.37  (* end of lemma zenon_L859_ *)
% 1.22/1.37  assert (zenon_L860_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H1c5 zenon_H4b zenon_H10e zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_Hef zenon_H2ab zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H158.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.37  apply (zenon_L402_); trivial.
% 1.22/1.37  apply (zenon_L813_); trivial.
% 1.22/1.37  (* end of lemma zenon_L860_ *)
% 1.22/1.37  assert (zenon_L861_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H16f zenon_H1b9 zenon_H158 zenon_Hca zenon_H19d zenon_H117 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H2ab zenon_Hef zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H10e zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.37  apply (zenon_L12_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.22/1.37  apply (zenon_L228_); trivial.
% 1.22/1.37  apply (zenon_L860_); trivial.
% 1.22/1.37  apply (zenon_L851_); trivial.
% 1.22/1.37  (* end of lemma zenon_L861_ *)
% 1.22/1.37  assert (zenon_L862_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_Hef zenon_Hb1 zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H16f zenon_H243 zenon_H15 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.37  apply (zenon_L764_); trivial.
% 1.22/1.37  apply (zenon_L830_); trivial.
% 1.22/1.37  (* end of lemma zenon_L862_ *)
% 1.22/1.37  assert (zenon_L863_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H6d zenon_H62 zenon_H243 zenon_H15 zenon_H21c zenon_H13a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H4b zenon_H10e zenon_H2a1 zenon_Hef zenon_H2ab zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H19d zenon_Hca zenon_H158 zenon_H1b9 zenon_H16f zenon_H165 zenon_H4e zenon_H1cd.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.37  apply (zenon_L729_); trivial.
% 1.22/1.37  apply (zenon_L861_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.37  apply (zenon_L729_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.37  apply (zenon_L242_); trivial.
% 1.22/1.37  apply (zenon_L862_); trivial.
% 1.22/1.37  (* end of lemma zenon_L863_ *)
% 1.22/1.37  assert (zenon_L864_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H92 zenon_H96 zenon_H62 zenon_H21c zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H2ab zenon_Hb3 zenon_H1b9 zenon_H165 zenon_H4b zenon_H10e zenon_H2a1 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H243 zenon_H19d zenon_H19f zenon_H217 zenon_Ha3 zenon_H247 zenon_H4e zenon_H13e zenon_H111 zenon_H18d zenon_Hd9 zenon_H5e zenon_H158 zenon_H267 zenon_H154 zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H298 zenon_H299 zenon_H29a zenon_H2b8 zenon_H1cd zenon_H15 zenon_H6e zenon_H97.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.37  apply (zenon_L847_); trivial.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.37  apply (zenon_L843_); trivial.
% 1.22/1.37  apply (zenon_L863_); trivial.
% 1.22/1.37  (* end of lemma zenon_L864_ *)
% 1.22/1.37  assert (zenon_L865_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_H1cd zenon_H2b8 zenon_H29a zenon_H299 zenon_H298 zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H5e zenon_H5b zenon_Hd9 zenon_H18d zenon_H111 zenon_H13e.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.37  apply (zenon_L846_); trivial.
% 1.22/1.37  apply (zenon_L45_); trivial.
% 1.22/1.37  (* end of lemma zenon_L865_ *)
% 1.22/1.37  assert (zenon_L866_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.22/1.37  do 0 intro. intros zenon_H109 zenon_H270 zenon_H7c zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H1a1 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.22/1.37  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.22/1.37  apply (zenon_L708_); trivial.
% 1.22/1.37  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.22/1.37  apply (zenon_L349_); trivial.
% 1.22/1.37  apply (zenon_L191_); trivial.
% 1.22/1.37  (* end of lemma zenon_L866_ *)
% 1.22/1.37  assert (zenon_L867_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H13b zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.38  apply (zenon_L367_); trivial.
% 1.22/1.38  apply (zenon_L866_); trivial.
% 1.22/1.38  (* end of lemma zenon_L867_ *)
% 1.22/1.38  assert (zenon_L868_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c3_1 (a2432)) -> (~(c0_1 (a2432))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (c1_1 (a2432)) -> (ndr1_0) -> (~(hskp10)) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H1a1 zenon_H29a zenon_H298 zenon_H299 zenon_H3c zenon_H3a zenon_H19 zenon_H3b zenon_Ha zenon_H7c.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ].
% 1.22/1.38  apply (zenon_L645_); trivial.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ].
% 1.22/1.38  apply (zenon_L388_); trivial.
% 1.22/1.38  exact (zenon_H7c zenon_H7d).
% 1.22/1.38  (* end of lemma zenon_L868_ *)
% 1.22/1.38  assert (zenon_L869_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp10)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H45 zenon_H270 zenon_H7c zenon_H299 zenon_H298 zenon_H29a zenon_H1a1 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.22/1.38  apply (zenon_L868_); trivial.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.22/1.38  apply (zenon_L349_); trivial.
% 1.22/1.38  apply (zenon_L191_); trivial.
% 1.22/1.38  (* end of lemma zenon_L869_ *)
% 1.22/1.38  assert (zenon_L870_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H4a zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H299 zenon_H298 zenon_H29a zenon_H7c zenon_H1a1 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H158.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.38  apply (zenon_L402_); trivial.
% 1.22/1.38  apply (zenon_L869_); trivial.
% 1.22/1.38  (* end of lemma zenon_L870_ *)
% 1.22/1.38  assert (zenon_L871_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H6d zenon_H1cd zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H1a1 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H19d zenon_Hca zenon_H158 zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.38  apply (zenon_L729_); trivial.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.38  apply (zenon_L31_); trivial.
% 1.22/1.38  apply (zenon_L870_); trivial.
% 1.22/1.38  (* end of lemma zenon_L871_ *)
% 1.22/1.38  assert (zenon_L872_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H80 zenon_H97 zenon_H4e zenon_Hb3 zenon_H255 zenon_H154 zenon_H158 zenon_H7e zenon_H13a zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H10e zenon_H4b zenon_H1cd.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.38  apply (zenon_L690_); trivial.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.38  apply (zenon_L658_); trivial.
% 1.22/1.38  apply (zenon_L867_); trivial.
% 1.22/1.38  apply (zenon_L155_); trivial.
% 1.22/1.38  apply (zenon_L869_); trivial.
% 1.22/1.38  apply (zenon_L871_); trivial.
% 1.22/1.38  (* end of lemma zenon_L872_ *)
% 1.22/1.38  assert (zenon_L873_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H109 zenon_H2ab zenon_H66 zenon_H65 zenon_H64 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H2a1 zenon_H29a zenon_H299 zenon_H298.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H63 | zenon_intro zenon_H2ac ].
% 1.22/1.38  apply (zenon_L27_); trivial.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1bb | zenon_intro zenon_Hf9 ].
% 1.22/1.38  apply (zenon_L733_); trivial.
% 1.22/1.38  apply (zenon_L698_); trivial.
% 1.22/1.38  (* end of lemma zenon_L873_ *)
% 1.22/1.38  assert (zenon_L874_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp29)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (~(c0_1 (a2478))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H125 zenon_H154 zenon_Hed zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H24e zenon_H24c zenon_H24d zenon_H8d zenon_H1f2 zenon_H1f1 zenon_H86 zenon_H85 zenon_H84 zenon_H35 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H14a zenon_H14b zenon_H14c.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 1.22/1.38  apply (zenon_L394_); trivial.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 1.22/1.38  apply (zenon_L6_); trivial.
% 1.22/1.38  apply (zenon_L95_); trivial.
% 1.22/1.38  (* end of lemma zenon_L874_ *)
% 1.22/1.38  assert (zenon_L875_ : ((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H1fd zenon_Hca zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H12a zenon_H154 zenon_H14c zenon_H14b zenon_H14a zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H35 zenon_H117 zenon_H105 zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H2ab zenon_H10e.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.22/1.38  apply (zenon_L75_); trivial.
% 1.22/1.38  apply (zenon_L874_); trivial.
% 1.22/1.38  apply (zenon_L873_); trivial.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.22/1.38  apply (zenon_L140_); trivial.
% 1.22/1.38  apply (zenon_L874_); trivial.
% 1.22/1.38  apply (zenon_L719_); trivial.
% 1.22/1.38  (* end of lemma zenon_L875_ *)
% 1.22/1.38  assert (zenon_L876_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H45 zenon_H270 zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.22/1.38  apply (zenon_L664_); trivial.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.22/1.38  apply (zenon_L349_); trivial.
% 1.22/1.38  apply (zenon_L191_); trivial.
% 1.22/1.38  (* end of lemma zenon_L876_ *)
% 1.22/1.38  assert (zenon_L877_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H270 zenon_H158 zenon_Hca zenon_H19d zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H105 zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H2ab zenon_H10e zenon_H201 zenon_H25 zenon_H27 zenon_H4b.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.22/1.38  apply (zenon_L192_); trivial.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.38  apply (zenon_L396_); trivial.
% 1.22/1.38  apply (zenon_L873_); trivial.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.22/1.38  apply (zenon_L192_); trivial.
% 1.22/1.38  apply (zenon_L875_); trivial.
% 1.22/1.38  apply (zenon_L722_); trivial.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.38  apply (zenon_L402_); trivial.
% 1.22/1.38  apply (zenon_L876_); trivial.
% 1.22/1.38  (* end of lemma zenon_L877_ *)
% 1.22/1.38  assert (zenon_L878_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H6d zenon_H62 zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H4b zenon_H27 zenon_H201 zenon_H10e zenon_H2ab zenon_H2a1 zenon_H105 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H16f zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H117 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H19d zenon_Hca zenon_H158 zenon_H270 zenon_H4e zenon_H1cd.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.38  apply (zenon_L729_); trivial.
% 1.22/1.38  apply (zenon_L877_); trivial.
% 1.22/1.38  apply (zenon_L405_); trivial.
% 1.22/1.38  (* end of lemma zenon_L878_ *)
% 1.22/1.38  assert (zenon_L879_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H13b zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.38  apply (zenon_L367_); trivial.
% 1.22/1.38  apply (zenon_L717_); trivial.
% 1.22/1.38  (* end of lemma zenon_L879_ *)
% 1.22/1.38  assert (zenon_L880_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H59 zenon_H18d zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H13a.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.38  apply (zenon_L658_); trivial.
% 1.22/1.38  apply (zenon_L879_); trivial.
% 1.22/1.38  apply (zenon_L408_); trivial.
% 1.22/1.38  (* end of lemma zenon_L880_ *)
% 1.22/1.38  assert (zenon_L881_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (~(c3_1 (a2420))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hcd zenon_Hcc zenon_H4f zenon_Hda zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H10c zenon_Hfb zenon_Hfc.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.22/1.38  apply (zenon_L33_); trivial.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.22/1.38  apply (zenon_L64_); trivial.
% 1.22/1.38  apply (zenon_L698_); trivial.
% 1.22/1.38  (* end of lemma zenon_L881_ *)
% 1.22/1.38  assert (zenon_L882_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H109 zenon_H21c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_Hda zenon_Hcc zenon_Hcd zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.22/1.38  apply (zenon_L733_); trivial.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.22/1.38  apply (zenon_L881_); trivial.
% 1.22/1.38  apply (zenon_L139_); trivial.
% 1.22/1.38  (* end of lemma zenon_L882_ *)
% 1.22/1.38  assert (zenon_L883_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H4a zenon_H10e zenon_H21c zenon_Hda zenon_Hcc zenon_Hcd zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.38  apply (zenon_L282_); trivial.
% 1.22/1.38  apply (zenon_L882_); trivial.
% 1.22/1.38  (* end of lemma zenon_L883_ *)
% 1.22/1.38  assert (zenon_L884_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H21c zenon_H247 zenon_H10e zenon_H27 zenon_H25 zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H18d zenon_H59 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.38  apply (zenon_L690_); trivial.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.38  apply (zenon_L880_); trivial.
% 1.22/1.38  apply (zenon_L883_); trivial.
% 1.22/1.38  (* end of lemma zenon_L884_ *)
% 1.22/1.38  assert (zenon_L885_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H5d zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H84 zenon_H85 zenon_H86 zenon_H8d.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.38  apply (zenon_L34_); trivial.
% 1.22/1.38  apply (zenon_L876_); trivial.
% 1.22/1.38  (* end of lemma zenon_L885_ *)
% 1.22/1.38  assert (zenon_L886_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H6d zenon_H62 zenon_H13a zenon_H189 zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H4b zenon_H27 zenon_H201 zenon_H10e zenon_H2ab zenon_H2a1 zenon_H105 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H16f zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H117 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H19d zenon_Hca zenon_H158 zenon_H270 zenon_H4e zenon_H1cd.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.38  apply (zenon_L690_); trivial.
% 1.22/1.38  apply (zenon_L877_); trivial.
% 1.22/1.38  apply (zenon_L885_); trivial.
% 1.22/1.38  (* end of lemma zenon_L886_ *)
% 1.22/1.38  assert (zenon_L887_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H8f zenon_H96 zenon_H21c zenon_H247 zenon_Hef zenon_H1ae zenon_H13e zenon_H111 zenon_H18d zenon_Hd9 zenon_H5e zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H298 zenon_H299 zenon_H29a zenon_H2b8 zenon_H1cd zenon_H4e zenon_H270 zenon_Hca zenon_H19d zenon_H117 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H1cb zenon_H16f zenon_H105 zenon_H2a1 zenon_H2ab zenon_H10e zenon_H201 zenon_H27 zenon_H4b zenon_H19f zenon_Hb7 zenon_H1 zenon_H62 zenon_H97.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.38  apply (zenon_L846_); trivial.
% 1.22/1.38  apply (zenon_L878_); trivial.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.38  apply (zenon_L845_); trivial.
% 1.22/1.38  apply (zenon_L884_); trivial.
% 1.22/1.38  apply (zenon_L410_); trivial.
% 1.22/1.38  apply (zenon_L886_); trivial.
% 1.22/1.38  (* end of lemma zenon_L887_ *)
% 1.22/1.38  assert (zenon_L888_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H3 zenon_H23a zenon_H117 zenon_H19d zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.38  apply (zenon_L738_); trivial.
% 1.22/1.38  apply (zenon_L822_); trivial.
% 1.22/1.38  (* end of lemma zenon_L888_ *)
% 1.22/1.38  assert (zenon_L889_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_Hd9 zenon_H217 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H4b zenon_H111 zenon_H10e zenon_H18d zenon_Hb1 zenon_Hef zenon_H147 zenon_H1ae zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H12a zenon_Hca zenon_H19d zenon_H117 zenon_H23a zenon_H3 zenon_H2a1 zenon_H21c zenon_H237 zenon_H158 zenon_H1b9 zenon_H1cb zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd zenon_H5e zenon_H62.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.38  apply (zenon_L888_); trivial.
% 1.22/1.38  apply (zenon_L749_); trivial.
% 1.22/1.38  apply (zenon_L25_); trivial.
% 1.22/1.38  apply (zenon_L28_); trivial.
% 1.22/1.38  (* end of lemma zenon_L889_ *)
% 1.22/1.38  assert (zenon_L890_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H96 zenon_Haf zenon_H2ab zenon_H16f zenon_H7c zenon_H1a1 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H3 zenon_H23a zenon_H117 zenon_H19d zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_Hd9 zenon_H13e zenon_H6e zenon_H97.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.38  apply (zenon_L889_); trivial.
% 1.22/1.38  apply (zenon_L834_); trivial.
% 1.22/1.38  (* end of lemma zenon_L890_ *)
% 1.22/1.38  assert (zenon_L891_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H73 zenon_H74 zenon_H75 zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.38  apply (zenon_L738_); trivial.
% 1.22/1.38  apply (zenon_L832_); trivial.
% 1.22/1.38  (* end of lemma zenon_L891_ *)
% 1.22/1.38  assert (zenon_L892_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H21c zenon_H8d zenon_H4b zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H117 zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H154 zenon_H12a zenon_H19d zenon_Hca zenon_Hef zenon_H147 zenon_Hb3 zenon_Hb1 zenon_H255 zenon_H165 zenon_H1cd zenon_H4e zenon_H158 zenon_H10e zenon_H2a1 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H15 zenon_H243 zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H13e.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.38  apply (zenon_L755_); trivial.
% 1.22/1.38  apply (zenon_L855_); trivial.
% 1.22/1.38  (* end of lemma zenon_L892_ *)
% 1.22/1.38  assert (zenon_L893_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H19d zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.38  apply (zenon_L738_); trivial.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.38  apply (zenon_L12_); trivial.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.38  apply (zenon_L817_); trivial.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.38  apply (zenon_L80_); trivial.
% 1.22/1.38  apply (zenon_L694_); trivial.
% 1.22/1.38  apply (zenon_L637_); trivial.
% 1.22/1.38  apply (zenon_L640_); trivial.
% 1.22/1.38  (* end of lemma zenon_L893_ *)
% 1.22/1.38  assert (zenon_L894_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H111 zenon_H19d zenon_H59 zenon_H18d zenon_H13a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Hc3 zenon_H126 zenon_H12a zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H147 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.38  apply (zenon_L12_); trivial.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.38  apply (zenon_L817_); trivial.
% 1.22/1.38  apply (zenon_L839_); trivial.
% 1.22/1.38  apply (zenon_L155_); trivial.
% 1.22/1.38  apply (zenon_L637_); trivial.
% 1.22/1.38  apply (zenon_L640_); trivial.
% 1.22/1.38  (* end of lemma zenon_L894_ *)
% 1.22/1.38  assert (zenon_L895_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H111 zenon_H19d zenon_H59 zenon_H18d zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H12a zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H2a1 zenon_H10e zenon_H158 zenon_H147 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.38  apply (zenon_L738_); trivial.
% 1.22/1.38  apply (zenon_L894_); trivial.
% 1.22/1.38  (* end of lemma zenon_L895_ *)
% 1.22/1.38  assert (zenon_L896_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1b9 zenon_Hd9 zenon_H21c zenon_H1ca zenon_H217 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H147 zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd zenon_H5e zenon_H62.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.38  apply (zenon_L895_); trivial.
% 1.22/1.38  apply (zenon_L749_); trivial.
% 1.22/1.38  apply (zenon_L25_); trivial.
% 1.22/1.38  apply (zenon_L28_); trivial.
% 1.22/1.38  (* end of lemma zenon_L896_ *)
% 1.22/1.38  assert (zenon_L897_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H13a zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd7 zenon_H1ae zenon_H16f zenon_H255 zenon_H143 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.38  apply (zenon_L360_); trivial.
% 1.22/1.38  apply (zenon_L867_); trivial.
% 1.22/1.38  (* end of lemma zenon_L897_ *)
% 1.22/1.38  assert (zenon_L898_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H153 zenon_H13a zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.38  apply (zenon_L737_); trivial.
% 1.22/1.38  apply (zenon_L838_); trivial.
% 1.22/1.38  (* end of lemma zenon_L898_ *)
% 1.22/1.38  assert (zenon_L899_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H4b zenon_H145 zenon_H147 zenon_H158 zenon_H20b zenon_H20a zenon_H209 zenon_H19f zenon_H12a zenon_H126 zenon_Hc3 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H16f zenon_H1ae zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H10e zenon_H13a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.38  apply (zenon_L897_); trivial.
% 1.22/1.38  apply (zenon_L898_); trivial.
% 1.22/1.38  apply (zenon_L155_); trivial.
% 1.22/1.38  apply (zenon_L637_); trivial.
% 1.22/1.38  (* end of lemma zenon_L899_ *)
% 1.22/1.38  assert (zenon_L900_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H270 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H166 zenon_H159 zenon_H15a zenon_H15b zenon_H1cb zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H190 zenon_H1e8 zenon_H191.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.22/1.38  apply (zenon_L829_); trivial.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.22/1.38  apply (zenon_L349_); trivial.
% 1.22/1.38  apply (zenon_L191_); trivial.
% 1.22/1.38  (* end of lemma zenon_L900_ *)
% 1.22/1.38  assert (zenon_L901_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp29)) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H16f zenon_H298 zenon_H299 zenon_H29a zenon_H14a zenon_H14b zenon_H14c zenon_H2a1 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H1cb zenon_H15b zenon_H15a zenon_H159 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H270 zenon_Hed.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.22/1.38  apply (zenon_L818_); trivial.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.22/1.38  apply (zenon_L900_); trivial.
% 1.22/1.38  exact (zenon_Hed zenon_Hee).
% 1.22/1.38  (* end of lemma zenon_L901_ *)
% 1.22/1.38  assert (zenon_L902_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H15b zenon_H15a zenon_H159 zenon_H29a zenon_H299 zenon_H298 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H16f.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.22/1.38  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.22/1.38  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.38  apply (zenon_L901_); trivial.
% 1.22/1.38  apply (zenon_L629_); trivial.
% 1.22/1.38  (* end of lemma zenon_L902_ *)
% 1.22/1.38  assert (zenon_L903_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False).
% 1.22/1.38  do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H16f zenon_H5b zenon_H1db.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.39  apply (zenon_L169_); trivial.
% 1.22/1.39  apply (zenon_L902_); trivial.
% 1.22/1.39  (* end of lemma zenon_L903_ *)
% 1.22/1.39  assert (zenon_L904_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H1cd zenon_H165 zenon_H5b zenon_H1db zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H12a zenon_H158 zenon_H147 zenon_H4b zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.39  apply (zenon_L738_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.39  apply (zenon_L899_); trivial.
% 1.22/1.39  apply (zenon_L903_); trivial.
% 1.22/1.39  (* end of lemma zenon_L904_ *)
% 1.22/1.39  assert (zenon_L905_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H1cb zenon_Hfc zenon_Hfb zenon_Hf9 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H19 zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.22/1.39  apply (zenon_L66_); trivial.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.22/1.39  apply (zenon_L13_); trivial.
% 1.22/1.39  apply (zenon_L144_); trivial.
% 1.22/1.39  (* end of lemma zenon_L905_ *)
% 1.22/1.39  assert (zenon_L906_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H109 zenon_H270 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.22/1.39  apply (zenon_L33_); trivial.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.22/1.39  apply (zenon_L645_); trivial.
% 1.22/1.39  apply (zenon_L905_); trivial.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.22/1.39  apply (zenon_L349_); trivial.
% 1.22/1.39  apply (zenon_L191_); trivial.
% 1.22/1.39  (* end of lemma zenon_L906_ *)
% 1.22/1.39  assert (zenon_L907_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H13b zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2c zenon_H2b zenon_H2a zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.39  apply (zenon_L367_); trivial.
% 1.22/1.39  apply (zenon_L906_); trivial.
% 1.22/1.39  (* end of lemma zenon_L907_ *)
% 1.22/1.39  assert (zenon_L908_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H4a zenon_H111 zenon_H59 zenon_H18d zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H10e zenon_H13a.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.39  apply (zenon_L737_); trivial.
% 1.22/1.39  apply (zenon_L907_); trivial.
% 1.22/1.39  apply (zenon_L408_); trivial.
% 1.22/1.39  (* end of lemma zenon_L908_ *)
% 1.22/1.39  assert (zenon_L909_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H4b zenon_H158 zenon_H147 zenon_H10e zenon_H27 zenon_H25 zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H1db zenon_H5b zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H165 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.39  apply (zenon_L738_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.39  apply (zenon_L141_); trivial.
% 1.22/1.39  apply (zenon_L879_); trivial.
% 1.22/1.39  apply (zenon_L155_); trivial.
% 1.22/1.39  apply (zenon_L685_); trivial.
% 1.22/1.39  apply (zenon_L903_); trivial.
% 1.22/1.39  apply (zenon_L908_); trivial.
% 1.22/1.39  (* end of lemma zenon_L909_ *)
% 1.22/1.39  assert (zenon_L910_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H13e zenon_H21c zenon_H247 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H59 zenon_H18d zenon_H75 zenon_H74 zenon_H73 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H10e zenon_H4e zenon_H1cd.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.39  apply (zenon_L738_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.39  apply (zenon_L880_); trivial.
% 1.22/1.39  apply (zenon_L908_); trivial.
% 1.22/1.39  apply (zenon_L884_); trivial.
% 1.22/1.39  (* end of lemma zenon_L910_ *)
% 1.22/1.39  assert (zenon_L911_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H96 zenon_H13a zenon_H237 zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H3 zenon_H23a zenon_H19f zenon_H1cd zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H1db zenon_H165 zenon_H4e zenon_Haf zenon_H7c zenon_Hb3 zenon_H97.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.39  apply (zenon_L837_); trivial.
% 1.22/1.39  apply (zenon_L663_); trivial.
% 1.22/1.39  (* end of lemma zenon_L911_ *)
% 1.22/1.39  assert (zenon_L912_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H1b9 zenon_H145 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H59 zenon_H18d zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H8d zenon_H1ae zenon_H4b.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.22/1.39  apply (zenon_L454_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_L617_); trivial.
% 1.22/1.39  apply (zenon_L637_); trivial.
% 1.22/1.39  (* end of lemma zenon_L912_ *)
% 1.22/1.39  assert (zenon_L913_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H4a zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.39  apply (zenon_L912_); trivial.
% 1.22/1.39  apply (zenon_L640_); trivial.
% 1.22/1.39  (* end of lemma zenon_L913_ *)
% 1.22/1.39  assert (zenon_L914_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.39  apply (zenon_L40_); trivial.
% 1.22/1.39  apply (zenon_L913_); trivial.
% 1.22/1.39  (* end of lemma zenon_L914_ *)
% 1.22/1.39  assert (zenon_L915_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H35 zenon_H8d.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.39  apply (zenon_L426_); trivial.
% 1.22/1.39  apply (zenon_L731_); trivial.
% 1.22/1.39  (* end of lemma zenon_L915_ *)
% 1.22/1.39  assert (zenon_L916_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H105 zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H111.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_L915_); trivial.
% 1.22/1.39  apply (zenon_L86_); trivial.
% 1.22/1.39  (* end of lemma zenon_L916_ *)
% 1.22/1.39  assert (zenon_L917_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H112 zenon_H4e zenon_H33 zenon_H37 zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.39  apply (zenon_L916_); trivial.
% 1.22/1.39  apply (zenon_L87_); trivial.
% 1.22/1.39  (* end of lemma zenon_L917_ *)
% 1.22/1.39  assert (zenon_L918_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H6d zenon_H10e zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H29a zenon_H2a1 zenon_H298 zenon_H105 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hb3.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.39  apply (zenon_L104_); trivial.
% 1.22/1.39  apply (zenon_L700_); trivial.
% 1.22/1.39  (* end of lemma zenon_L918_ *)
% 1.22/1.39  assert (zenon_L919_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H80 zenon_H97 zenon_H10e zenon_H2b0 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H29a zenon_H2a1 zenon_H298 zenon_H105 zenon_H16f zenon_Hb1 zenon_Hb3 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.39  apply (zenon_L88_); trivial.
% 1.22/1.39  apply (zenon_L918_); trivial.
% 1.22/1.39  (* end of lemma zenon_L919_ *)
% 1.22/1.39  assert (zenon_L920_ : ((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H204 zenon_H178 zenon_H7e zenon_H5e zenon_H98 zenon_H13e zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1b9 zenon_H21c zenon_H1ca zenon_H105 zenon_Hb7 zenon_Hc6 zenon_H2ab zenon_H97 zenon_Hb3 zenon_Haf zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha3 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H19f zenon_H23a zenon_H1a1 zenon_H13f zenon_H2b0 zenon_H237 zenon_H13a zenon_H96 zenon_H141 zenon_H62 zenon_H27 zenon_H16f zenon_H95.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.39  apply (zenon_L911_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.39  apply (zenon_L52_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.39  apply (zenon_L40_); trivial.
% 1.22/1.39  apply (zenon_L668_); trivial.
% 1.22/1.39  apply (zenon_L914_); trivial.
% 1.22/1.39  apply (zenon_L675_); trivial.
% 1.22/1.39  apply (zenon_L680_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.39  apply (zenon_L89_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.39  apply (zenon_L88_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.39  apply (zenon_L52_); trivial.
% 1.22/1.39  apply (zenon_L917_); trivial.
% 1.22/1.39  apply (zenon_L115_); trivial.
% 1.22/1.39  apply (zenon_L919_); trivial.
% 1.22/1.39  apply (zenon_L707_); trivial.
% 1.22/1.39  (* end of lemma zenon_L920_ *)
% 1.22/1.39  assert (zenon_L921_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(hskp5)) -> (~(hskp19)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H111 zenon_H13a zenon_H1a3 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hb7 zenon_H5b zenon_H1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H33 zenon_H35 zenon_H37 zenon_Hca.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.39  apply (zenon_L433_); trivial.
% 1.22/1.39  apply (zenon_L710_); trivial.
% 1.22/1.39  (* end of lemma zenon_L921_ *)
% 1.22/1.39  assert (zenon_L922_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H4e zenon_H4b zenon_H158 zenon_H189 zenon_H187 zenon_H147 zenon_Hca zenon_H37 zenon_H33 zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1 zenon_H5b zenon_Hb7 zenon_H10e zenon_H27 zenon_H25 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hc zenon_Hd zenon_He zenon_H1a3 zenon_H13a zenon_H111 zenon_H1db zenon_H165.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_L921_); trivial.
% 1.22/1.39  apply (zenon_L631_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_L921_); trivial.
% 1.22/1.39  apply (zenon_L633_); trivial.
% 1.22/1.39  apply (zenon_L634_); trivial.
% 1.22/1.39  (* end of lemma zenon_L922_ *)
% 1.22/1.39  assert (zenon_L923_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H1ae zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H18d zenon_H59 zenon_H111.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_L438_); trivial.
% 1.22/1.39  apply (zenon_L637_); trivial.
% 1.22/1.39  (* end of lemma zenon_L923_ *)
% 1.22/1.39  assert (zenon_L924_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H1db zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.39  apply (zenon_L923_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_L438_); trivial.
% 1.22/1.39  apply (zenon_L639_); trivial.
% 1.22/1.39  (* end of lemma zenon_L924_ *)
% 1.22/1.39  assert (zenon_L925_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H18d zenon_H59 zenon_H111.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_L438_); trivial.
% 1.22/1.39  apply (zenon_L685_); trivial.
% 1.22/1.39  (* end of lemma zenon_L925_ *)
% 1.22/1.39  assert (zenon_L926_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H111 zenon_H158 zenon_H10e zenon_H105 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H159 zenon_H15a zenon_H15b zenon_H1db zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.39  apply (zenon_L437_); trivial.
% 1.22/1.39  apply (zenon_L721_); trivial.
% 1.22/1.39  (* end of lemma zenon_L926_ *)
% 1.22/1.39  assert (zenon_L927_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H162 zenon_H4b zenon_H27 zenon_H25 zenon_H23 zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H1db zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H105 zenon_H10e zenon_H158 zenon_H111.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_L926_); trivial.
% 1.22/1.39  apply (zenon_L722_); trivial.
% 1.22/1.39  (* end of lemma zenon_L927_ *)
% 1.22/1.39  assert (zenon_L928_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H1ae zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H147 zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1db zenon_H25 zenon_H27 zenon_H165.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.39  apply (zenon_L925_); trivial.
% 1.22/1.39  apply (zenon_L927_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.39  apply (zenon_L925_); trivial.
% 1.22/1.39  apply (zenon_L640_); trivial.
% 1.22/1.39  (* end of lemma zenon_L928_ *)
% 1.22/1.39  assert (zenon_L929_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H4b zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H111.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_L441_); trivial.
% 1.22/1.39  apply (zenon_L722_); trivial.
% 1.22/1.39  (* end of lemma zenon_L929_ *)
% 1.22/1.39  assert (zenon_L930_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H4b.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.39  apply (zenon_L929_); trivial.
% 1.22/1.39  apply (zenon_L913_); trivial.
% 1.22/1.39  (* end of lemma zenon_L930_ *)
% 1.22/1.39  assert (zenon_L931_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.39  apply (zenon_L437_); trivial.
% 1.22/1.39  apply (zenon_L731_); trivial.
% 1.22/1.39  (* end of lemma zenon_L931_ *)
% 1.22/1.39  assert (zenon_L932_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H165 zenon_H1db zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a zenon_H147 zenon_H158 zenon_H4b.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_L931_); trivial.
% 1.22/1.39  apply (zenon_L685_); trivial.
% 1.22/1.39  apply (zenon_L927_); trivial.
% 1.22/1.39  (* end of lemma zenon_L932_ *)
% 1.22/1.39  assert (zenon_L933_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H285 zenon_H2b8 zenon_H154 zenon_H1a3 zenon_H201 zenon_H1ed zenon_H126 zenon_H178 zenon_H8d zenon_Hb3 zenon_H141 zenon_H7e zenon_H96 zenon_H2b0 zenon_H13f zenon_H62 zenon_H5e zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H27 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H1ca zenon_H2ab zenon_H237 zenon_H1b9 zenon_H1a1 zenon_H19f zenon_H23a zenon_H13a zenon_Haf zenon_H97 zenon_H105 zenon_H98 zenon_H7 zenon_H17 zenon_H95 zenon_H16f zenon_Ha3 zenon_Hc6 zenon_Hb7 zenon_H21c zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H13e zenon_H286.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.22/1.39  apply (zenon_L682_); trivial.
% 1.22/1.39  apply (zenon_L920_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.39  apply (zenon_L4_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.39  apply (zenon_L922_); trivial.
% 1.22/1.39  apply (zenon_L924_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.39  apply (zenon_L922_); trivial.
% 1.22/1.39  apply (zenon_L442_); trivial.
% 1.22/1.39  apply (zenon_L25_); trivial.
% 1.22/1.39  apply (zenon_L45_); trivial.
% 1.22/1.39  apply (zenon_L114_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.39  apply (zenon_L433_); trivial.
% 1.22/1.39  apply (zenon_L718_); trivial.
% 1.22/1.39  apply (zenon_L631_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.39  apply (zenon_L433_); trivial.
% 1.22/1.39  apply (zenon_L721_); trivial.
% 1.22/1.39  apply (zenon_L667_); trivial.
% 1.22/1.39  apply (zenon_L668_); trivial.
% 1.22/1.39  apply (zenon_L928_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.39  apply (zenon_L426_); trivial.
% 1.22/1.39  apply (zenon_L718_); trivial.
% 1.22/1.39  apply (zenon_L722_); trivial.
% 1.22/1.39  apply (zenon_L634_); trivial.
% 1.22/1.39  apply (zenon_L930_); trivial.
% 1.22/1.39  apply (zenon_L25_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.39  apply (zenon_L729_); trivial.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.39  apply (zenon_L932_); trivial.
% 1.22/1.39  apply (zenon_L87_); trivial.
% 1.22/1.39  apply (zenon_L917_); trivial.
% 1.22/1.39  apply (zenon_L115_); trivial.
% 1.22/1.39  apply (zenon_L702_); trivial.
% 1.22/1.39  apply (zenon_L681_); trivial.
% 1.22/1.39  apply (zenon_L920_); trivial.
% 1.22/1.39  (* end of lemma zenon_L933_ *)
% 1.22/1.39  assert (zenon_L934_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.39  apply (zenon_L12_); trivial.
% 1.22/1.39  apply (zenon_L913_); trivial.
% 1.22/1.39  (* end of lemma zenon_L934_ *)
% 1.22/1.39  assert (zenon_L935_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.39  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.39  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.39  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L240_); trivial.
% 1.22/1.40  apply (zenon_L934_); trivial.
% 1.22/1.40  (* end of lemma zenon_L935_ *)
% 1.22/1.40  assert (zenon_L936_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H178 zenon_H96 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H13f zenon_H2b0 zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H23a zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1db zenon_H13e zenon_H2ab zenon_H1a1 zenon_Haf zenon_H97 zenon_H105 zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.22/1.40  apply (zenon_L227_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.40  apply (zenon_L746_); trivial.
% 1.22/1.40  apply (zenon_L935_); trivial.
% 1.22/1.40  apply (zenon_L25_); trivial.
% 1.22/1.40  apply (zenon_L656_); trivial.
% 1.22/1.40  apply (zenon_L663_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.40  apply (zenon_L750_); trivial.
% 1.22/1.40  apply (zenon_L935_); trivial.
% 1.22/1.40  apply (zenon_L25_); trivial.
% 1.22/1.40  apply (zenon_L767_); trivial.
% 1.22/1.40  apply (zenon_L680_); trivial.
% 1.22/1.40  apply (zenon_L37_); trivial.
% 1.22/1.40  (* end of lemma zenon_L936_ *)
% 1.22/1.40  assert (zenon_L937_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.40  apply (zenon_L52_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L240_); trivial.
% 1.22/1.40  apply (zenon_L914_); trivial.
% 1.22/1.40  apply (zenon_L28_); trivial.
% 1.22/1.40  (* end of lemma zenon_L937_ *)
% 1.22/1.40  assert (zenon_L938_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H4b zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L240_); trivial.
% 1.22/1.40  apply (zenon_L930_); trivial.
% 1.22/1.40  (* end of lemma zenon_L938_ *)
% 1.22/1.40  assert (zenon_L939_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H111 zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H27 zenon_H4b zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.40  apply (zenon_L52_); trivial.
% 1.22/1.40  apply (zenon_L938_); trivial.
% 1.22/1.40  apply (zenon_L25_); trivial.
% 1.22/1.40  apply (zenon_L28_); trivial.
% 1.22/1.40  (* end of lemma zenon_L939_ *)
% 1.22/1.40  assert (zenon_L940_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H8f zenon_H96 zenon_H237 zenon_H3 zenon_H23a zenon_H243 zenon_H19f zenon_H62 zenon_H5e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_H4b zenon_H27 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H111 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H1b9 zenon_H1ae zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H6e zenon_H97.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.40  apply (zenon_L939_); trivial.
% 1.22/1.40  apply (zenon_L695_); trivial.
% 1.22/1.40  (* end of lemma zenon_L940_ *)
% 1.22/1.40  assert (zenon_L941_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H98 zenon_H243 zenon_H62 zenon_H5e zenon_H27 zenon_H105 zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H19f zenon_H23a zenon_H3 zenon_H1a1 zenon_H13f zenon_H2b0 zenon_H237 zenon_H96.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.40  apply (zenon_L937_); trivial.
% 1.22/1.40  apply (zenon_L663_); trivial.
% 1.22/1.40  apply (zenon_L940_); trivial.
% 1.22/1.40  (* end of lemma zenon_L941_ *)
% 1.22/1.40  assert (zenon_L942_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp30)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> (~(hskp4)) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H2b0 zenon_H115 zenon_H299 zenon_H29a zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H13f.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.22/1.40  apply (zenon_L743_); trivial.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.22/1.40  apply (zenon_L29_); trivial.
% 1.22/1.40  exact (zenon_H13f zenon_H140).
% 1.22/1.40  (* end of lemma zenon_L942_ *)
% 1.22/1.40  assert (zenon_L943_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H162 zenon_H12a zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H19d zenon_H29a zenon_H299 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.22/1.40  apply (zenon_L942_); trivial.
% 1.22/1.40  apply (zenon_L287_); trivial.
% 1.22/1.40  (* end of lemma zenon_L943_ *)
% 1.22/1.40  assert (zenon_L944_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H4a zenon_H165 zenon_H1cb zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.40  apply (zenon_L912_); trivial.
% 1.22/1.40  apply (zenon_L943_); trivial.
% 1.22/1.40  (* end of lemma zenon_L944_ *)
% 1.22/1.40  assert (zenon_L945_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L690_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.40  apply (zenon_L31_); trivial.
% 1.22/1.40  apply (zenon_L944_); trivial.
% 1.22/1.40  (* end of lemma zenon_L945_ *)
% 1.22/1.40  assert (zenon_L946_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H96 zenon_Hb3 zenon_Haf zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H243 zenon_H19f zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H7e zenon_H7c zenon_H2b0 zenon_H13f zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.40  apply (zenon_L937_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.40  apply (zenon_L753_); trivial.
% 1.22/1.40  apply (zenon_L945_); trivial.
% 1.22/1.40  apply (zenon_L45_); trivial.
% 1.22/1.40  (* end of lemma zenon_L946_ *)
% 1.22/1.40  assert (zenon_L947_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H13e zenon_H5b zenon_H1db zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_H111 zenon_H59 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H217 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H147 zenon_H243 zenon_H15 zenon_H12a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H2b0 zenon_H13f zenon_H1cb zenon_H19d zenon_H165 zenon_H4e zenon_H1cd.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.40  apply (zenon_L768_); trivial.
% 1.22/1.40  apply (zenon_L938_); trivial.
% 1.22/1.40  (* end of lemma zenon_L947_ *)
% 1.22/1.40  assert (zenon_L948_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H19d zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H7c zenon_H1cb zenon_H141 zenon_H10e zenon_H12a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1ae zenon_H147 zenon_H59 zenon_H18d zenon_H2a1 zenon_H158 zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L738_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.40  apply (zenon_L12_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.40  apply (zenon_L80_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.40  apply (zenon_L346_); trivial.
% 1.22/1.40  apply (zenon_L782_); trivial.
% 1.22/1.40  apply (zenon_L51_); trivial.
% 1.22/1.40  apply (zenon_L637_); trivial.
% 1.22/1.40  apply (zenon_L640_); trivial.
% 1.22/1.40  (* end of lemma zenon_L948_ *)
% 1.22/1.40  assert (zenon_L949_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp14)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H4e zenon_H4b zenon_H141 zenon_He zenon_Hd zenon_Hc zenon_H10e zenon_H12a zenon_H2b0 zenon_H13f zenon_H75 zenon_H74 zenon_H73 zenon_H1a1 zenon_H7c zenon_H29a zenon_H299 zenon_H1cb zenon_H117 zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef zenon_Hc3 zenon_Hc6 zenon_Hca zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.40  apply (zenon_L40_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.40  apply (zenon_L346_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.22/1.40  apply (zenon_L75_); trivial.
% 1.22/1.40  apply (zenon_L783_); trivial.
% 1.22/1.40  apply (zenon_L51_); trivial.
% 1.22/1.40  apply (zenon_L86_); trivial.
% 1.22/1.40  (* end of lemma zenon_L949_ *)
% 1.22/1.40  assert (zenon_L950_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L690_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.40  apply (zenon_L12_); trivial.
% 1.22/1.40  apply (zenon_L944_); trivial.
% 1.22/1.40  (* end of lemma zenon_L950_ *)
% 1.22/1.40  assert (zenon_L951_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H12a zenon_H19d zenon_H29a zenon_H299 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H21c zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.40  apply (zenon_L31_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.40  apply (zenon_L446_); trivial.
% 1.22/1.40  apply (zenon_L745_); trivial.
% 1.22/1.40  (* end of lemma zenon_L951_ *)
% 1.22/1.40  assert (zenon_L952_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H4e zenon_H165 zenon_H12a zenon_H19d zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H21c zenon_H1ca zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L690_); trivial.
% 1.22/1.40  apply (zenon_L951_); trivial.
% 1.22/1.40  (* end of lemma zenon_L952_ *)
% 1.22/1.40  assert (zenon_L953_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H175 zenon_H95 zenon_H6e zenon_H141 zenon_H7e zenon_Ha3 zenon_Hb3 zenon_H96 zenon_H2b0 zenon_H13f zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H19d zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_H18d zenon_H111 zenon_H4b zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H21c zenon_H1b9 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H13e zenon_H2ab zenon_H237 zenon_H1a1 zenon_H23a zenon_Haf zenon_H97 zenon_H105 zenon_H98.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.40  apply (zenon_L760_); trivial.
% 1.22/1.40  apply (zenon_L935_); trivial.
% 1.22/1.40  apply (zenon_L25_); trivial.
% 1.22/1.40  apply (zenon_L656_); trivial.
% 1.22/1.40  apply (zenon_L663_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.40  apply (zenon_L947_); trivial.
% 1.22/1.40  apply (zenon_L25_); trivial.
% 1.22/1.40  apply (zenon_L767_); trivial.
% 1.22/1.40  apply (zenon_L706_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.40  apply (zenon_L948_); trivial.
% 1.22/1.40  apply (zenon_L935_); trivial.
% 1.22/1.40  apply (zenon_L25_); trivial.
% 1.22/1.40  apply (zenon_L28_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.40  apply (zenon_L949_); trivial.
% 1.22/1.40  apply (zenon_L950_); trivial.
% 1.22/1.40  apply (zenon_L952_); trivial.
% 1.22/1.40  apply (zenon_L45_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.40  apply (zenon_L947_); trivial.
% 1.22/1.40  apply (zenon_L115_); trivial.
% 1.22/1.40  apply (zenon_L28_); trivial.
% 1.22/1.40  apply (zenon_L706_); trivial.
% 1.22/1.40  (* end of lemma zenon_L953_ *)
% 1.22/1.40  assert (zenon_L954_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H109 zenon_H12a zenon_H141 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_H1f1 zenon_H1f2 zenon_Hd9 zenon_Hd7 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb5 zenon_H35 zenon_H117.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.22/1.40  apply (zenon_L75_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ].
% 1.22/1.40  apply (zenon_L435_); trivial.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ].
% 1.22/1.40  apply (zenon_L775_); trivial.
% 1.22/1.40  exact (zenon_H13f zenon_H140).
% 1.22/1.40  (* end of lemma zenon_L954_ *)
% 1.22/1.40  assert (zenon_L955_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H10e zenon_H12a zenon_H141 zenon_H1cb zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_H1f1 zenon_H1f2 zenon_Hd9 zenon_Hd7 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb5 zenon_H35 zenon_H117 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.40  apply (zenon_L282_); trivial.
% 1.22/1.40  apply (zenon_L954_); trivial.
% 1.22/1.40  (* end of lemma zenon_L955_ *)
% 1.22/1.40  assert (zenon_L956_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H96 zenon_H7e zenon_H247 zenon_H16f zenon_H2b0 zenon_H1a1 zenon_H4e zenon_H13e zenon_Hc zenon_Hd zenon_He zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_H147 zenon_H1ae zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H111 zenon_H1db zenon_H165 zenon_H1cd zenon_Haf zenon_H7c zenon_Hb3 zenon_H97.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L738_); trivial.
% 1.22/1.40  apply (zenon_L924_); trivial.
% 1.22/1.40  apply (zenon_L465_); trivial.
% 1.22/1.40  apply (zenon_L45_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L690_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.40  apply (zenon_L31_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.40  apply (zenon_L658_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.22/1.40  apply (zenon_L192_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.22/1.40  apply (zenon_L955_); trivial.
% 1.22/1.40  apply (zenon_L784_); trivial.
% 1.22/1.40  apply (zenon_L155_); trivial.
% 1.22/1.40  apply (zenon_L637_); trivial.
% 1.22/1.40  apply (zenon_L745_); trivial.
% 1.22/1.40  apply (zenon_L45_); trivial.
% 1.22/1.40  (* end of lemma zenon_L956_ *)
% 1.22/1.40  assert (zenon_L957_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.40  apply (zenon_L464_); trivial.
% 1.22/1.40  apply (zenon_L631_); trivial.
% 1.22/1.40  (* end of lemma zenon_L957_ *)
% 1.22/1.40  assert (zenon_L958_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H162 zenon_H4b zenon_H141 zenon_H13f zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H105 zenon_H10e zenon_Hca zenon_H158 zenon_H111.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.40  apply (zenon_L426_); trivial.
% 1.22/1.40  apply (zenon_L721_); trivial.
% 1.22/1.40  apply (zenon_L86_); trivial.
% 1.22/1.40  (* end of lemma zenon_L958_ *)
% 1.22/1.40  assert (zenon_L959_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H20b zenon_H20a zenon_H209 zenon_H2b0 zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H147 zenon_H158 zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_Hb3 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H189 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L729_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.40  apply (zenon_L916_); trivial.
% 1.22/1.40  apply (zenon_L794_); trivial.
% 1.22/1.40  (* end of lemma zenon_L959_ *)
% 1.22/1.40  assert (zenon_L960_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H97 zenon_H2b0 zenon_Hb3 zenon_H13e zenon_H1b9 zenon_H21c zenon_H1ca zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H165 zenon_H27 zenon_H1db zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H111 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H147 zenon_Hef zenon_Hb1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1ae zenon_H4e zenon_H1cd zenon_H5e zenon_H62.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L738_); trivial.
% 1.22/1.40  apply (zenon_L928_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.40  apply (zenon_L957_); trivial.
% 1.22/1.40  apply (zenon_L958_); trivial.
% 1.22/1.40  apply (zenon_L930_); trivial.
% 1.22/1.40  apply (zenon_L25_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L738_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.40  apply (zenon_L932_); trivial.
% 1.22/1.40  apply (zenon_L794_); trivial.
% 1.22/1.40  apply (zenon_L959_); trivial.
% 1.22/1.40  apply (zenon_L115_); trivial.
% 1.22/1.40  (* end of lemma zenon_L960_ *)
% 1.22/1.40  assert (zenon_L961_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H10e zenon_H12a zenon_H141 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_H1f1 zenon_H1f2 zenon_Hd9 zenon_Hd7 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb5 zenon_H35 zenon_H117 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.40  apply (zenon_L346_); trivial.
% 1.22/1.40  apply (zenon_L954_); trivial.
% 1.22/1.40  (* end of lemma zenon_L961_ *)
% 1.22/1.40  assert (zenon_L962_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H13b zenon_H201 zenon_Hca zenon_H237 zenon_H3 zenon_H23a zenon_Hef zenon_Hb1 zenon_H1c zenon_H1b zenon_H1a zenon_H117 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_H2b0 zenon_H13f zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H29a zenon_H299 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H141 zenon_H12a zenon_H10e zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.22/1.40  apply (zenon_L192_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.22/1.40  apply (zenon_L961_); trivial.
% 1.22/1.40  apply (zenon_L797_); trivial.
% 1.22/1.40  (* end of lemma zenon_L962_ *)
% 1.22/1.40  assert (zenon_L963_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H4a zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.40  apply (zenon_L957_); trivial.
% 1.22/1.40  apply (zenon_L800_); trivial.
% 1.22/1.40  (* end of lemma zenon_L963_ *)
% 1.22/1.40  assert (zenon_L964_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H4e zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.40  apply (zenon_L12_); trivial.
% 1.22/1.40  apply (zenon_L963_); trivial.
% 1.22/1.40  (* end of lemma zenon_L964_ *)
% 1.22/1.40  assert (zenon_L965_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H5b zenon_H1db zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L964_); trivial.
% 1.22/1.40  apply (zenon_L934_); trivial.
% 1.22/1.40  (* end of lemma zenon_L965_ *)
% 1.22/1.40  assert (zenon_L966_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp19)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (~(hskp20)) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H109 zenon_H141 zenon_H35 zenon_Hd9 zenon_H276 zenon_H274 zenon_H275 zenon_Hd7 zenon_H1f1 zenon_H1f2 zenon_H8d zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H2b0 zenon_H2a zenon_H2b zenon_H2c zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H13f.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ].
% 1.22/1.40  apply (zenon_L435_); trivial.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ].
% 1.22/1.40  apply (zenon_L805_); trivial.
% 1.22/1.40  exact (zenon_H13f zenon_H140).
% 1.22/1.40  (* end of lemma zenon_L966_ *)
% 1.22/1.40  assert (zenon_L967_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.40  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1ae zenon_H117 zenon_Hca zenon_H111 zenon_H12a zenon_H19d zenon_H59 zenon_H18d zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hef zenon_Hb1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H13f zenon_H2b0 zenon_H141 zenon_H10e zenon_H201 zenon_H147 zenon_H158 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.40  apply (zenon_L738_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.40  apply (zenon_L12_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.40  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.40  apply (zenon_L737_); trivial.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.40  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.22/1.41  apply (zenon_L192_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.41  apply (zenon_L346_); trivial.
% 1.22/1.41  apply (zenon_L966_); trivial.
% 1.22/1.41  apply (zenon_L778_); trivial.
% 1.22/1.41  apply (zenon_L685_); trivial.
% 1.22/1.41  apply (zenon_L640_); trivial.
% 1.22/1.41  (* end of lemma zenon_L967_ *)
% 1.22/1.41  assert (zenon_L968_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H13e zenon_H1b9 zenon_H21c zenon_H1ca zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H147 zenon_H201 zenon_H10e zenon_H141 zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb1 zenon_Hef zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H18d zenon_H59 zenon_H19d zenon_H12a zenon_H111 zenon_Hca zenon_H117 zenon_H1ae zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_L967_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L964_); trivial.
% 1.22/1.41  apply (zenon_L930_); trivial.
% 1.22/1.41  (* end of lemma zenon_L968_ *)
% 1.22/1.41  assert (zenon_L969_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H10d zenon_H12a zenon_H18d zenon_H59 zenon_H19d zenon_H29a zenon_H299 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.22/1.41  apply (zenon_L942_); trivial.
% 1.22/1.41  apply (zenon_L129_); trivial.
% 1.22/1.41  (* end of lemma zenon_L969_ *)
% 1.22/1.41  assert (zenon_L970_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H4e zenon_H165 zenon_H12a zenon_H1cb zenon_H19d zenon_H13f zenon_H2b0 zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H21c zenon_H1ca zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L690_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.41  apply (zenon_L31_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.41  apply (zenon_L242_); trivial.
% 1.22/1.41  apply (zenon_L943_); trivial.
% 1.22/1.41  (* end of lemma zenon_L970_ *)
% 1.22/1.41  assert (zenon_L971_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H175 zenon_H95 zenon_Hb3 zenon_H247 zenon_H16f zenon_H7e zenon_H96 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H111 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H10e zenon_H141 zenon_H1cb zenon_H1a1 zenon_H13f zenon_H2b0 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb1 zenon_Hef zenon_H23a zenon_H237 zenon_H201 zenon_H1ae zenon_H147 zenon_H2a1 zenon_H158 zenon_H4b zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H1ca zenon_H21c zenon_H1b9 zenon_H1db zenon_H13e zenon_H2ab zenon_Haf zenon_H97 zenon_H105 zenon_H98.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L738_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.41  apply (zenon_L12_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.41  apply (zenon_L141_); trivial.
% 1.22/1.41  apply (zenon_L962_); trivial.
% 1.22/1.41  apply (zenon_L778_); trivial.
% 1.22/1.41  apply (zenon_L637_); trivial.
% 1.22/1.41  apply (zenon_L745_); trivial.
% 1.22/1.41  apply (zenon_L965_); trivial.
% 1.22/1.41  apply (zenon_L25_); trivial.
% 1.22/1.41  apply (zenon_L656_); trivial.
% 1.22/1.41  apply (zenon_L663_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.41  apply (zenon_L968_); trivial.
% 1.22/1.41  apply (zenon_L25_); trivial.
% 1.22/1.41  apply (zenon_L675_); trivial.
% 1.22/1.41  apply (zenon_L706_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L738_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.41  apply (zenon_L12_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.41  apply (zenon_L141_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.22/1.41  apply (zenon_L192_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.22/1.41  apply (zenon_L961_); trivial.
% 1.22/1.41  apply (zenon_L809_); trivial.
% 1.22/1.41  apply (zenon_L155_); trivial.
% 1.22/1.41  apply (zenon_L86_); trivial.
% 1.22/1.41  apply (zenon_L965_); trivial.
% 1.22/1.41  apply (zenon_L25_); trivial.
% 1.22/1.41  apply (zenon_L45_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L738_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.41  apply (zenon_L31_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.41  apply (zenon_L141_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.22/1.41  apply (zenon_L192_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.22/1.41  apply (zenon_L961_); trivial.
% 1.22/1.41  apply (zenon_L784_); trivial.
% 1.22/1.41  apply (zenon_L969_); trivial.
% 1.22/1.41  apply (zenon_L637_); trivial.
% 1.22/1.41  apply (zenon_L943_); trivial.
% 1.22/1.41  apply (zenon_L950_); trivial.
% 1.22/1.41  apply (zenon_L970_); trivial.
% 1.22/1.41  apply (zenon_L45_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.41  apply (zenon_L968_); trivial.
% 1.22/1.41  apply (zenon_L115_); trivial.
% 1.22/1.41  apply (zenon_L816_); trivial.
% 1.22/1.41  apply (zenon_L706_); trivial.
% 1.22/1.41  (* end of lemma zenon_L971_ *)
% 1.22/1.41  assert (zenon_L972_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H4e zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.41  apply (zenon_L40_); trivial.
% 1.22/1.41  apply (zenon_L963_); trivial.
% 1.22/1.41  (* end of lemma zenon_L972_ *)
% 1.22/1.41  assert (zenon_L973_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H13e zenon_H1cd zenon_H1db zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_Ha3 zenon_H59 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_L52_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L972_); trivial.
% 1.22/1.41  apply (zenon_L914_); trivial.
% 1.22/1.41  (* end of lemma zenon_L973_ *)
% 1.22/1.41  assert (zenon_L974_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4e zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha3 zenon_H1ca zenon_H21c zenon_H1b9 zenon_H1ae zenon_H1db zenon_H1cd zenon_H13e.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_L973_); trivial.
% 1.22/1.41  apply (zenon_L45_); trivial.
% 1.22/1.41  (* end of lemma zenon_L974_ *)
% 1.22/1.41  assert (zenon_L975_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0 zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L972_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.41  apply (zenon_L40_); trivial.
% 1.22/1.41  apply (zenon_L944_); trivial.
% 1.22/1.41  (* end of lemma zenon_L975_ *)
% 1.22/1.41  assert (zenon_L976_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H4a zenon_H165 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H247 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H13f zenon_H2b0 zenon_H141 zenon_H10e zenon_H201 zenon_H13a zenon_H147 zenon_Hef zenon_Hb1 zenon_H158 zenon_H4b.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.41  apply (zenon_L737_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.22/1.41  apply (zenon_L192_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.41  apply (zenon_L282_); trivial.
% 1.22/1.41  apply (zenon_L966_); trivial.
% 1.22/1.41  apply (zenon_L155_); trivial.
% 1.22/1.41  apply (zenon_L685_); trivial.
% 1.22/1.41  apply (zenon_L745_); trivial.
% 1.22/1.41  (* end of lemma zenon_L976_ *)
% 1.22/1.41  assert (zenon_L977_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H13f zenon_H2b0 zenon_H1ae zenon_H1b9 zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H4b zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L690_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.41  apply (zenon_L929_); trivial.
% 1.22/1.41  apply (zenon_L944_); trivial.
% 1.22/1.41  (* end of lemma zenon_L977_ *)
% 1.22/1.41  assert (zenon_L978_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H5b zenon_H1db zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L972_); trivial.
% 1.22/1.41  apply (zenon_L934_); trivial.
% 1.22/1.41  (* end of lemma zenon_L978_ *)
% 1.22/1.41  assert (zenon_L979_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H13e zenon_H1b9 zenon_H21c zenon_H1ca zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H147 zenon_H201 zenon_H10e zenon_H141 zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb1 zenon_Hef zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H18d zenon_H59 zenon_H19d zenon_H12a zenon_H111 zenon_Hca zenon_H117 zenon_H1ae zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_L967_); trivial.
% 1.22/1.41  apply (zenon_L978_); trivial.
% 1.22/1.41  (* end of lemma zenon_L979_ *)
% 1.22/1.41  assert (zenon_L980_ : ((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c0_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H204 zenon_H178 zenon_H5e zenon_H98 zenon_H2ab zenon_H105 zenon_H97 zenon_Hb3 zenon_Haf zenon_Hca zenon_Hc6 zenon_Hb7 zenon_H4e zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha3 zenon_H1ca zenon_H21c zenon_H1b9 zenon_H1ae zenon_H1db zenon_H1cd zenon_H13e zenon_H23a zenon_H1a1 zenon_H13f zenon_H2b0 zenon_H237 zenon_H96 zenon_H201 zenon_H247 zenon_H16f zenon_H141 zenon_H1e8 zenon_H1ed zenon_H126 zenon_H62 zenon_H27 zenon_H95.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_L974_); trivial.
% 1.22/1.41  apply (zenon_L663_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_L973_); trivial.
% 1.22/1.41  apply (zenon_L675_); trivial.
% 1.22/1.41  apply (zenon_L680_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_L974_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L738_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.41  apply (zenon_L40_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.41  apply (zenon_L658_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.22/1.41  apply (zenon_L192_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.22/1.41  apply (zenon_L955_); trivial.
% 1.22/1.41  apply (zenon_L51_); trivial.
% 1.22/1.41  apply (zenon_L155_); trivial.
% 1.22/1.41  apply (zenon_L86_); trivial.
% 1.22/1.41  apply (zenon_L975_); trivial.
% 1.22/1.41  apply (zenon_L45_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_L973_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_L52_); trivial.
% 1.22/1.41  apply (zenon_L959_); trivial.
% 1.22/1.41  apply (zenon_L115_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L738_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.41  apply (zenon_L40_); trivial.
% 1.22/1.41  apply (zenon_L976_); trivial.
% 1.22/1.41  apply (zenon_L977_); trivial.
% 1.22/1.41  apply (zenon_L115_); trivial.
% 1.22/1.41  apply (zenon_L918_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L738_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.41  apply (zenon_L12_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.41  apply (zenon_L80_); trivial.
% 1.22/1.41  apply (zenon_L962_); trivial.
% 1.22/1.41  apply (zenon_L155_); trivial.
% 1.22/1.41  apply (zenon_L637_); trivial.
% 1.22/1.41  apply (zenon_L745_); trivial.
% 1.22/1.41  apply (zenon_L978_); trivial.
% 1.22/1.41  apply (zenon_L25_); trivial.
% 1.22/1.41  apply (zenon_L656_); trivial.
% 1.22/1.41  apply (zenon_L663_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.41  apply (zenon_L979_); trivial.
% 1.22/1.41  apply (zenon_L25_); trivial.
% 1.22/1.41  apply (zenon_L675_); trivial.
% 1.22/1.41  apply (zenon_L706_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_L948_); trivial.
% 1.22/1.41  apply (zenon_L978_); trivial.
% 1.22/1.41  apply (zenon_L25_); trivial.
% 1.22/1.41  apply (zenon_L45_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_L949_); trivial.
% 1.22/1.41  apply (zenon_L975_); trivial.
% 1.22/1.41  apply (zenon_L45_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.41  apply (zenon_L979_); trivial.
% 1.22/1.41  apply (zenon_L115_); trivial.
% 1.22/1.41  apply (zenon_L816_); trivial.
% 1.22/1.41  apply (zenon_L706_); trivial.
% 1.22/1.41  (* end of lemma zenon_L980_ *)
% 1.22/1.41  assert (zenon_L981_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H16f zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H21c zenon_H1ae zenon_H243 zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L240_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.22/1.41  apply (zenon_L228_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.41  apply (zenon_L617_); trivial.
% 1.22/1.41  apply (zenon_L841_); trivial.
% 1.22/1.41  apply (zenon_L831_); trivial.
% 1.22/1.41  (* end of lemma zenon_L981_ *)
% 1.22/1.41  assert (zenon_L982_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H80 zenon_H97 zenon_Haf zenon_H2ab zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_H4b zenon_H1ae zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H1a zenon_H1b zenon_H1c zenon_H13e.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_L833_); trivial.
% 1.22/1.41  apply (zenon_L981_); trivial.
% 1.22/1.41  apply (zenon_L656_); trivial.
% 1.22/1.41  (* end of lemma zenon_L982_ *)
% 1.22/1.41  assert (zenon_L983_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H98 zenon_H105 zenon_H8d zenon_H97 zenon_Hb3 zenon_Haf zenon_H13e zenon_H2b8 zenon_H217 zenon_H4e zenon_H165 zenon_H267 zenon_H154 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H1ca zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H23a zenon_H3 zenon_H21c zenon_H237 zenon_H1b9 zenon_H1cb zenon_H1db zenon_H1cd zenon_H5e zenon_H62 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H19f zenon_H1a1 zenon_H16f zenon_H2ab zenon_H96.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_L826_); trivial.
% 1.22/1.41  apply (zenon_L982_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L857_); trivial.
% 1.22/1.41  apply (zenon_L824_); trivial.
% 1.22/1.41  apply (zenon_L935_); trivial.
% 1.22/1.41  apply (zenon_L25_); trivial.
% 1.22/1.41  apply (zenon_L767_); trivial.
% 1.22/1.41  apply (zenon_L695_); trivial.
% 1.22/1.41  (* end of lemma zenon_L983_ *)
% 1.22/1.41  assert (zenon_L984_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H178 zenon_H96 zenon_H2ab zenon_H16f zenon_H1a1 zenon_H19f zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H62 zenon_H5e zenon_H1cd zenon_H1db zenon_H1cb zenon_H1b9 zenon_H237 zenon_H21c zenon_H23a zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_H1ca zenon_H27 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H13a zenon_H243 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_H257 zenon_H154 zenon_H267 zenon_H165 zenon_H4e zenon_H217 zenon_H2b8 zenon_H13e zenon_Haf zenon_Hb3 zenon_H97 zenon_H8d zenon_H105 zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.22/1.41  apply (zenon_L227_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.41  apply (zenon_L983_); trivial.
% 1.22/1.41  apply (zenon_L37_); trivial.
% 1.22/1.41  (* end of lemma zenon_L984_ *)
% 1.22/1.41  assert (zenon_L985_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H16f zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H243 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.41  apply (zenon_L240_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.41  apply (zenon_L912_); trivial.
% 1.22/1.41  apply (zenon_L831_); trivial.
% 1.22/1.41  (* end of lemma zenon_L985_ *)
% 1.22/1.41  assert (zenon_L986_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H98 zenon_H62 zenon_H5e zenon_H27 zenon_H105 zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H19f zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H243 zenon_H23a zenon_H3 zenon_H1a1 zenon_H237 zenon_H16f zenon_H2ab zenon_Haf zenon_H96.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_L937_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_L833_); trivial.
% 1.22/1.41  apply (zenon_L985_); trivial.
% 1.22/1.41  apply (zenon_L656_); trivial.
% 1.22/1.41  apply (zenon_L940_); trivial.
% 1.22/1.41  (* end of lemma zenon_L986_ *)
% 1.22/1.41  assert (zenon_L987_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H13e zenon_H165 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1b9 zenon_H21c zenon_H147 zenon_H1ca zenon_H217 zenon_H13a zenon_H189 zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H111 zenon_H19d zenon_H59 zenon_H18d zenon_H243 zenon_H15 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1cd.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.41  apply (zenon_L842_); trivial.
% 1.22/1.41  apply (zenon_L985_); trivial.
% 1.22/1.41  (* end of lemma zenon_L987_ *)
% 1.22/1.41  assert (zenon_L988_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H1cd zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H147 zenon_H21c zenon_H1b9 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H165 zenon_H13e.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.41  apply (zenon_L987_); trivial.
% 1.22/1.41  apply (zenon_L45_); trivial.
% 1.22/1.41  (* end of lemma zenon_L988_ *)
% 1.22/1.41  assert (zenon_L989_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H96 zenon_Hb3 zenon_H7c zenon_Haf zenon_Hc zenon_Hd zenon_He zenon_H24e zenon_H24c zenon_H24d zenon_H16f zenon_H126 zenon_H243 zenon_H19f zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.41  apply (zenon_L937_); trivial.
% 1.22/1.41  apply (zenon_L988_); trivial.
% 1.22/1.41  (* end of lemma zenon_L989_ *)
% 1.22/1.41  assert (zenon_L990_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp29)) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H16f zenon_H35 zenon_Hd9 zenon_H276 zenon_H274 zenon_H275 zenon_H1f1 zenon_H1f2 zenon_H8d zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H1ae zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd7 zenon_H270 zenon_Hed.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.22/1.41  apply (zenon_L435_); trivial.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.22/1.41  apply (zenon_L365_); trivial.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.22/1.41  apply (zenon_L349_); trivial.
% 1.22/1.41  apply (zenon_L191_); trivial.
% 1.22/1.41  exact (zenon_Hed zenon_Hee).
% 1.22/1.41  (* end of lemma zenon_L990_ *)
% 1.22/1.41  assert (zenon_L991_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H109 zenon_H270 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a zenon_H2b zenon_H2c zenon_H1a1 zenon_H29a zenon_H298 zenon_H299 zenon_H7c zenon_H1cb zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.22/1.41  apply (zenon_L769_); trivial.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.22/1.41  apply (zenon_L13_); trivial.
% 1.22/1.41  apply (zenon_L144_); trivial.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.22/1.41  apply (zenon_L349_); trivial.
% 1.22/1.41  apply (zenon_L191_); trivial.
% 1.22/1.41  (* end of lemma zenon_L991_ *)
% 1.22/1.41  assert (zenon_L992_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H13b zenon_H201 zenon_H10e zenon_H1a1 zenon_H7c zenon_H29a zenon_H298 zenon_H299 zenon_H2a zenon_H2b zenon_H2c zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_H270 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.22/1.41  apply (zenon_L192_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.41  apply (zenon_L990_); trivial.
% 1.22/1.41  apply (zenon_L991_); trivial.
% 1.22/1.41  (* end of lemma zenon_L992_ *)
% 1.22/1.41  assert (zenon_L993_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H270 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H25 zenon_H27 zenon_H10e zenon_H201 zenon_H13a zenon_H4b.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.41  apply (zenon_L141_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.22/1.41  apply (zenon_L192_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.41  apply (zenon_L990_); trivial.
% 1.22/1.41  apply (zenon_L709_); trivial.
% 1.22/1.41  apply (zenon_L408_); trivial.
% 1.22/1.41  apply (zenon_L409_); trivial.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.41  apply (zenon_L141_); trivial.
% 1.22/1.41  apply (zenon_L992_); trivial.
% 1.22/1.41  apply (zenon_L408_); trivial.
% 1.22/1.41  apply (zenon_L409_); trivial.
% 1.22/1.41  (* end of lemma zenon_L993_ *)
% 1.22/1.41  assert (zenon_L994_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H4a zenon_H4b zenon_H13a zenon_H201 zenon_H10e zenon_H1a1 zenon_H7c zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H270 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.41  apply (zenon_L658_); trivial.
% 1.22/1.41  apply (zenon_L992_); trivial.
% 1.22/1.41  apply (zenon_L155_); trivial.
% 1.22/1.41  apply (zenon_L869_); trivial.
% 1.22/1.41  (* end of lemma zenon_L994_ *)
% 1.22/1.41  assert (zenon_L995_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.22/1.41  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H4b zenon_H13a zenon_H201 zenon_H10e zenon_H1a1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H270 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.41  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.41  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.41  apply (zenon_L31_); trivial.
% 1.22/1.41  apply (zenon_L994_); trivial.
% 1.22/1.41  (* end of lemma zenon_L995_ *)
% 1.22/1.41  assert (zenon_L996_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H255 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H158 zenon_H13a zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H7e zenon_H7c zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H270 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1a1 zenon_H10e zenon_H201 zenon_H4b zenon_H4e zenon_H1cd.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.42  apply (zenon_L690_); trivial.
% 1.22/1.42  apply (zenon_L995_); trivial.
% 1.22/1.42  apply (zenon_L871_); trivial.
% 1.22/1.42  (* end of lemma zenon_L996_ *)
% 1.22/1.42  assert (zenon_L997_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H109 zenon_H270 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.22/1.42  apply (zenon_L716_); trivial.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.22/1.42  apply (zenon_L349_); trivial.
% 1.22/1.42  apply (zenon_L191_); trivial.
% 1.22/1.42  (* end of lemma zenon_L997_ *)
% 1.22/1.42  assert (zenon_L998_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H13b zenon_H201 zenon_H10e zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_H270 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.22/1.42  apply (zenon_L192_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.22/1.42  apply (zenon_L990_); trivial.
% 1.22/1.42  apply (zenon_L997_); trivial.
% 1.22/1.42  (* end of lemma zenon_L998_ *)
% 1.22/1.42  assert (zenon_L999_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H1ce zenon_H4b zenon_H13a zenon_H201 zenon_H10e zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.42  apply (zenon_L484_); trivial.
% 1.22/1.42  apply (zenon_L998_); trivial.
% 1.22/1.42  apply (zenon_L155_); trivial.
% 1.22/1.42  apply (zenon_L409_); trivial.
% 1.22/1.42  (* end of lemma zenon_L999_ *)
% 1.22/1.42  assert (zenon_L1000_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H27 zenon_H2ab zenon_H255 zenon_Hb1 zenon_Hb3 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H4e zenon_H13a zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H270 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H10e zenon_H201 zenon_H4b zenon_H1cd.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.42  apply (zenon_L690_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.42  apply (zenon_L658_); trivial.
% 1.22/1.42  apply (zenon_L998_); trivial.
% 1.22/1.42  apply (zenon_L155_); trivial.
% 1.22/1.42  apply (zenon_L409_); trivial.
% 1.22/1.42  apply (zenon_L886_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1000_ *)
% 1.22/1.42  assert (zenon_L1001_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H4a zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H299 zenon_H298 zenon_H29a zenon_H7c zenon_H1a1 zenon_H33 zenon_H37.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.42  apply (zenon_L16_); trivial.
% 1.22/1.42  apply (zenon_L869_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1001_ *)
% 1.22/1.42  assert (zenon_L1002_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H299 zenon_H298 zenon_H29a zenon_H7c zenon_H1a1 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.42  apply (zenon_L40_); trivial.
% 1.22/1.42  apply (zenon_L1001_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1002_ *)
% 1.22/1.42  assert (zenon_L1003_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp10)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H234 zenon_H270 zenon_H7c zenon_H299 zenon_H298 zenon_H29a zenon_H1a1 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.22/1.42  apply (zenon_L646_); trivial.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.22/1.42  apply (zenon_L349_); trivial.
% 1.22/1.42  apply (zenon_L191_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1003_ *)
% 1.22/1.42  assert (zenon_L1004_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H13b zenon_H237 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H299 zenon_H298 zenon_H29a zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.22/1.42  apply (zenon_L261_); trivial.
% 1.22/1.42  apply (zenon_L1003_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1004_ *)
% 1.22/1.42  assert (zenon_L1005_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H6d zenon_H13a zenon_H23a zenon_H3 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H1a1 zenon_H7c zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H237.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.22/1.42  apply (zenon_L644_); trivial.
% 1.22/1.42  apply (zenon_L1003_); trivial.
% 1.22/1.42  apply (zenon_L1004_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1005_ *)
% 1.22/1.42  assert (zenon_L1006_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.42  apply (zenon_L40_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.42  apply (zenon_L16_); trivial.
% 1.22/1.42  apply (zenon_L876_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1006_ *)
% 1.22/1.42  assert (zenon_L1007_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c3_1 (a2403))) -> (ndr1_0) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H29a zenon_H298 zenon_H19 zenon_H299 zenon_Ha zenon_H22b zenon_H22c zenon_H22d.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ].
% 1.22/1.42  apply (zenon_L33_); trivial.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ].
% 1.22/1.42  apply (zenon_L645_); trivial.
% 1.22/1.42  apply (zenon_L254_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1007_ *)
% 1.22/1.42  assert (zenon_L1008_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H234 zenon_H270 zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.22/1.42  apply (zenon_L1007_); trivial.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.22/1.42  apply (zenon_L349_); trivial.
% 1.22/1.42  apply (zenon_L191_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1008_ *)
% 1.22/1.42  assert (zenon_L1009_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H13b zenon_H237 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H3 zenon_H23a.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.22/1.42  apply (zenon_L261_); trivial.
% 1.22/1.42  apply (zenon_L1008_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1009_ *)
% 1.22/1.42  assert (zenon_L1010_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H6d zenon_H13a zenon_H23a zenon_H3 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H237.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.22/1.42  apply (zenon_L644_); trivial.
% 1.22/1.42  apply (zenon_L1008_); trivial.
% 1.22/1.42  apply (zenon_L1009_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1010_ *)
% 1.22/1.42  assert (zenon_L1011_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H98 zenon_H105 zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H299 zenon_H298 zenon_H29a zenon_H1a1 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H237 zenon_H19f zenon_H3 zenon_H23a zenon_H13a zenon_H97.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_L1002_); trivial.
% 1.22/1.42  apply (zenon_L1005_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_L1006_); trivial.
% 1.22/1.42  apply (zenon_L1010_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1011_ *)
% 1.22/1.42  assert (zenon_L1012_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H1a1 zenon_H7c zenon_H29a zenon_H298 zenon_H299 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b zenon_H4e.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_L1002_); trivial.
% 1.22/1.42  apply (zenon_L45_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1012_ *)
% 1.22/1.42  assert (zenon_L1013_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H97 zenon_H62 zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H19f zenon_H189 zenon_H27 zenon_H201 zenon_H10e zenon_H2ab zenon_H2a1 zenon_H255 zenon_H16f zenon_H1cb zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H1ed zenon_H117 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H19d zenon_Hca zenon_H158 zenon_H1cd zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b zenon_H4e.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_L1006_); trivial.
% 1.22/1.42  apply (zenon_L878_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1013_ *)
% 1.22/1.42  assert (zenon_L1014_ : ((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410)))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H287 zenon_H286 zenon_H37 zenon_Ha3 zenon_H237 zenon_H23a zenon_H95 zenon_H98 zenon_H165 zenon_H1db zenon_H147 zenon_Hef zenon_H105 zenon_H2ab zenon_Hb7 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_H13e zenon_H158 zenon_H267 zenon_H154 zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H4b zenon_H201 zenon_H10e zenon_H27 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H1a1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H270 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H111 zenon_H4e zenon_H1cd zenon_H5e zenon_H62 zenon_H7e zenon_H19f zenon_H96 zenon_H7 zenon_H178.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.42  apply (zenon_L4_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.42  apply (zenon_L362_); trivial.
% 1.22/1.42  apply (zenon_L993_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.42  apply (zenon_L492_); trivial.
% 1.22/1.42  apply (zenon_L869_); trivial.
% 1.22/1.42  apply (zenon_L25_); trivial.
% 1.22/1.42  apply (zenon_L45_); trivial.
% 1.22/1.42  apply (zenon_L996_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.42  apply (zenon_L362_); trivial.
% 1.22/1.42  apply (zenon_L999_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.42  apply (zenon_L492_); trivial.
% 1.22/1.42  apply (zenon_L685_); trivial.
% 1.22/1.42  apply (zenon_L371_); trivial.
% 1.22/1.42  apply (zenon_L878_); trivial.
% 1.22/1.42  apply (zenon_L1000_); trivial.
% 1.22/1.42  apply (zenon_L411_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.42  apply (zenon_L1011_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.42  apply (zenon_L1012_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_L1013_); trivial.
% 1.22/1.42  apply (zenon_L1000_); trivial.
% 1.22/1.42  apply (zenon_L411_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1014_ *)
% 1.22/1.42  assert (zenon_L1015_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H80 zenon_H97 zenon_Haf zenon_H2ab zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H4b zenon_H1ae zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H1a zenon_H1b zenon_H1c zenon_H13e.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_L891_); trivial.
% 1.22/1.42  apply (zenon_L981_); trivial.
% 1.22/1.42  apply (zenon_L656_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1015_ *)
% 1.22/1.42  assert (zenon_L1016_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H178 zenon_H96 zenon_H2ab zenon_H16f zenon_H1a1 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H23a zenon_H117 zenon_H19d zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H13e zenon_Haf zenon_Hb3 zenon_H97 zenon_H105 zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.22/1.42  apply (zenon_L227_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_L888_); trivial.
% 1.22/1.42  apply (zenon_L935_); trivial.
% 1.22/1.42  apply (zenon_L25_); trivial.
% 1.22/1.42  apply (zenon_L45_); trivial.
% 1.22/1.42  apply (zenon_L1015_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.42  apply (zenon_L738_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.22/1.42  apply (zenon_L817_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.42  apply (zenon_L737_); trivial.
% 1.22/1.42  apply (zenon_L694_); trivial.
% 1.22/1.42  apply (zenon_L935_); trivial.
% 1.22/1.42  apply (zenon_L25_); trivial.
% 1.22/1.42  apply (zenon_L767_); trivial.
% 1.22/1.42  apply (zenon_L695_); trivial.
% 1.22/1.42  apply (zenon_L37_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1016_ *)
% 1.22/1.42  assert (zenon_L1017_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H98 zenon_H62 zenon_H5e zenon_H27 zenon_H105 zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_H19f zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H243 zenon_H23a zenon_H3 zenon_H1a1 zenon_H237 zenon_H16f zenon_H2ab zenon_Haf zenon_H96.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_L937_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_L891_); trivial.
% 1.22/1.42  apply (zenon_L985_); trivial.
% 1.22/1.42  apply (zenon_L656_); trivial.
% 1.22/1.42  apply (zenon_L940_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1017_ *)
% 1.22/1.42  assert (zenon_L1018_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H27 zenon_H2ab zenon_Hb3 zenon_H255 zenon_H154 zenon_H4e zenon_H1cd zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H21c zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1a zenon_H1b zenon_H1c zenon_H1b9 zenon_H165 zenon_H13e.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_L842_); trivial.
% 1.22/1.42  apply (zenon_L981_); trivial.
% 1.22/1.42  apply (zenon_L863_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1018_ *)
% 1.22/1.42  assert (zenon_L1019_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H175 zenon_H95 zenon_Hb3 zenon_H154 zenon_H96 zenon_Haf zenon_H2ab zenon_H16f zenon_H1a1 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H19d zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H23a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H13e zenon_H6e zenon_H97 zenon_H105 zenon_H98.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.42  apply (zenon_L738_); trivial.
% 1.22/1.42  apply (zenon_L858_); trivial.
% 1.22/1.42  apply (zenon_L935_); trivial.
% 1.22/1.42  apply (zenon_L25_); trivial.
% 1.22/1.42  apply (zenon_L28_); trivial.
% 1.22/1.42  apply (zenon_L1015_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_L893_); trivial.
% 1.22/1.42  apply (zenon_L938_); trivial.
% 1.22/1.42  apply (zenon_L25_); trivial.
% 1.22/1.42  apply (zenon_L767_); trivial.
% 1.22/1.42  apply (zenon_L695_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_L895_); trivial.
% 1.22/1.42  apply (zenon_L935_); trivial.
% 1.22/1.42  apply (zenon_L25_); trivial.
% 1.22/1.42  apply (zenon_L45_); trivial.
% 1.22/1.42  apply (zenon_L1018_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_L895_); trivial.
% 1.22/1.42  apply (zenon_L938_); trivial.
% 1.22/1.42  apply (zenon_L25_); trivial.
% 1.22/1.42  apply (zenon_L28_); trivial.
% 1.22/1.42  apply (zenon_L1018_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1019_ *)
% 1.22/1.42  assert (zenon_L1020_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H80 zenon_H13a zenon_H237 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.42  apply (zenon_L658_); trivial.
% 1.22/1.42  apply (zenon_L1004_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1020_ *)
% 1.22/1.42  assert (zenon_L1021_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H80 zenon_H13a zenon_H237 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.22/1.42  apply (zenon_L658_); trivial.
% 1.22/1.42  apply (zenon_L1009_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1021_ *)
% 1.22/1.42  assert (zenon_L1022_ : ((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410)))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H287 zenon_H286 zenon_Hc6 zenon_Ha3 zenon_H23a zenon_H237 zenon_H95 zenon_H98 zenon_H105 zenon_H1ca zenon_H21c zenon_H1b9 zenon_H165 zenon_H2ab zenon_Hb7 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_H13e zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H4b zenon_H201 zenon_H10e zenon_H27 zenon_H2a1 zenon_H1a1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H270 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H1ed zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H111 zenon_H4e zenon_H1cd zenon_H5e zenon_H62 zenon_H7e zenon_H158 zenon_H154 zenon_H255 zenon_H96 zenon_H7 zenon_H178.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.42  apply (zenon_L4_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.42  apply (zenon_L738_); trivial.
% 1.22/1.42  apply (zenon_L993_); trivial.
% 1.22/1.42  apply (zenon_L509_); trivial.
% 1.22/1.42  apply (zenon_L25_); trivial.
% 1.22/1.42  apply (zenon_L45_); trivial.
% 1.22/1.42  apply (zenon_L996_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.42  apply (zenon_L738_); trivial.
% 1.22/1.42  apply (zenon_L999_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.42  apply (zenon_L508_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.42  apply (zenon_L929_); trivial.
% 1.22/1.42  apply (zenon_L619_); trivial.
% 1.22/1.42  apply (zenon_L410_); trivial.
% 1.22/1.42  apply (zenon_L878_); trivial.
% 1.22/1.42  apply (zenon_L1000_); trivial.
% 1.22/1.42  apply (zenon_L411_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_L624_); trivial.
% 1.22/1.42  apply (zenon_L1020_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_L623_); trivial.
% 1.22/1.42  apply (zenon_L675_); trivial.
% 1.22/1.42  apply (zenon_L1021_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_L624_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.42  apply (zenon_L627_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.42  apply (zenon_L40_); trivial.
% 1.22/1.42  apply (zenon_L994_); trivial.
% 1.22/1.42  apply (zenon_L622_); trivial.
% 1.22/1.42  apply (zenon_L871_); trivial.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.42  apply (zenon_L623_); trivial.
% 1.22/1.42  apply (zenon_L878_); trivial.
% 1.22/1.42  apply (zenon_L1000_); trivial.
% 1.22/1.42  apply (zenon_L411_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1022_ *)
% 1.22/1.42  assert (zenon_L1023_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H162 zenon_H4b zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H105 zenon_H10e zenon_Hca zenon_H158 zenon_H111.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.22/1.42  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.42  apply (zenon_L515_); trivial.
% 1.22/1.42  apply (zenon_L721_); trivial.
% 1.22/1.42  apply (zenon_L667_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1023_ *)
% 1.22/1.42  assert (zenon_L1024_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.42  do 0 intro. intros zenon_H165 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hca zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_H147 zenon_H158 zenon_H4b.
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.22/1.42  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.22/1.42  apply (zenon_L515_); trivial.
% 1.22/1.42  apply (zenon_L731_); trivial.
% 1.22/1.42  apply (zenon_L685_); trivial.
% 1.22/1.42  apply (zenon_L1023_); trivial.
% 1.22/1.42  (* end of lemma zenon_L1024_ *)
% 1.22/1.42  assert (zenon_L1025_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H141 zenon_H13f zenon_H33 zenon_H37 zenon_H4b zenon_H158 zenon_H147 zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_Hb3 zenon_Hb1 zenon_Hef zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H10e zenon_H111 zenon_Hca zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1 zenon_Hb7 zenon_H5b zenon_H1db zenon_H165 zenon_H189 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.43  apply (zenon_L729_); trivial.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.43  apply (zenon_L1024_); trivial.
% 1.22/1.43  apply (zenon_L87_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1025_ *)
% 1.22/1.43  assert (zenon_L1026_ : ((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H204 zenon_H178 zenon_H7e zenon_H5e zenon_H98 zenon_H2ab zenon_H105 zenon_H97 zenon_Hb3 zenon_Haf zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha3 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H19f zenon_H23a zenon_H1a1 zenon_H13f zenon_H2b0 zenon_H237 zenon_H13a zenon_H96 zenon_H141 zenon_H62 zenon_Hc6 zenon_Hb7 zenon_H154 zenon_H27 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H13e zenon_H16f zenon_H95.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.43  apply (zenon_L911_); trivial.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.43  apply (zenon_L836_); trivial.
% 1.22/1.43  apply (zenon_L675_); trivial.
% 1.22/1.43  apply (zenon_L680_); trivial.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.22/1.43  apply (zenon_L89_); trivial.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.43  apply (zenon_L836_); trivial.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.43  apply (zenon_L52_); trivial.
% 1.22/1.43  apply (zenon_L1025_); trivial.
% 1.22/1.43  apply (zenon_L115_); trivial.
% 1.22/1.43  apply (zenon_L919_); trivial.
% 1.22/1.43  apply (zenon_L707_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1026_ *)
% 1.22/1.43  assert (zenon_L1027_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H1b9 zenon_H145 zenon_H59 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_H1ae zenon_H4b.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.22/1.43  apply (zenon_L518_); trivial.
% 1.22/1.43  apply (zenon_L688_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1027_ *)
% 1.22/1.43  assert (zenon_L1028_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.43  apply (zenon_L1027_); trivial.
% 1.22/1.43  apply (zenon_L1023_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1028_ *)
% 1.22/1.43  assert (zenon_L1029_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H4a zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.22/1.43  apply (zenon_L1027_); trivial.
% 1.22/1.43  apply (zenon_L640_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1029_ *)
% 1.22/1.43  assert (zenon_L1030_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.43  apply (zenon_L12_); trivial.
% 1.22/1.43  apply (zenon_L1029_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1030_ *)
% 1.22/1.43  assert (zenon_L1031_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.43  apply (zenon_L240_); trivial.
% 1.22/1.43  apply (zenon_L1030_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1031_ *)
% 1.22/1.43  assert (zenon_L1032_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.22/1.43  apply (zenon_L40_); trivial.
% 1.22/1.43  apply (zenon_L1029_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1032_ *)
% 1.22/1.43  assert (zenon_L1033_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H1ae zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.43  apply (zenon_L52_); trivial.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.22/1.43  apply (zenon_L240_); trivial.
% 1.22/1.43  apply (zenon_L1032_); trivial.
% 1.22/1.43  apply (zenon_L28_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1033_ *)
% 1.22/1.43  assert (zenon_L1034_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H8f zenon_H96 zenon_H237 zenon_H105 zenon_H3 zenon_H23a zenon_H243 zenon_H19f zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.43  apply (zenon_L1033_); trivial.
% 1.22/1.43  apply (zenon_L695_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1034_ *)
% 1.22/1.43  assert (zenon_L1035_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H96 zenon_Hb3 zenon_H7c zenon_Haf zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H243 zenon_H19f zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.43  apply (zenon_L1033_); trivial.
% 1.22/1.43  apply (zenon_L756_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1035_ *)
% 1.22/1.43  assert (zenon_L1036_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1b9 zenon_H1ca zenon_H217 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H111 zenon_H18d zenon_H147 zenon_H1ae zenon_H243 zenon_H15 zenon_H12a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H19d zenon_H1cb zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd zenon_H5e zenon_H62.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.22/1.43  apply (zenon_L760_); trivial.
% 1.22/1.43  apply (zenon_L1031_); trivial.
% 1.22/1.43  apply (zenon_L25_); trivial.
% 1.22/1.43  apply (zenon_L28_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1036_ *)
% 1.22/1.43  assert (zenon_L1037_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.22/1.43  do 0 intro. intros zenon_H8f zenon_H96 zenon_H237 zenon_H105 zenon_H3 zenon_H23a zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H19d zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_H18d zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H1b9 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H13e zenon_H6e zenon_H97.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.22/1.43  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.22/1.43  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.22/1.43  apply (zenon_L1036_); trivial.
% 1.22/1.43  apply (zenon_L695_); trivial.
% 1.22/1.43  (* end of lemma zenon_L1037_ *)
% 1.22/1.43  assert (zenon_L1038_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.32/1.43  do 0 intro. intros zenon_H96 zenon_Hb3 zenon_H7c zenon_Haf zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_Ha3 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H19d zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_H18d zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H1b9 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H13e zenon_H6e zenon_H97.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.43  apply (zenon_L1036_); trivial.
% 1.32/1.43  apply (zenon_L756_); trivial.
% 1.32/1.43  (* end of lemma zenon_L1038_ *)
% 1.32/1.43  assert (zenon_L1039_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.32/1.43  do 0 intro. intros zenon_H4a zenon_H165 zenon_H1cb zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.43  apply (zenon_L1027_); trivial.
% 1.32/1.43  apply (zenon_L943_); trivial.
% 1.32/1.43  (* end of lemma zenon_L1039_ *)
% 1.32/1.43  assert (zenon_L1040_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.32/1.43  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.43  apply (zenon_L690_); trivial.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.43  apply (zenon_L31_); trivial.
% 1.32/1.43  apply (zenon_L1039_); trivial.
% 1.32/1.43  (* end of lemma zenon_L1040_ *)
% 1.32/1.43  assert (zenon_L1041_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.32/1.43  do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_Haf zenon_H1cd zenon_H4e zenon_H165 zenon_Hca zenon_H19d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H117 zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H1cb zenon_H141 zenon_H12a zenon_H10e zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H18d zenon_H2a1 zenon_H158 zenon_H111 zenon_H4b zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H1ca zenon_H1b9 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H13e.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.43  apply (zenon_L738_); trivial.
% 1.32/1.43  apply (zenon_L785_); trivial.
% 1.32/1.43  apply (zenon_L1040_); trivial.
% 1.32/1.43  apply (zenon_L45_); trivial.
% 1.32/1.43  (* end of lemma zenon_L1041_ *)
% 1.32/1.43  assert (zenon_L1042_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.32/1.43  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H1db zenon_H1ae zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1b9 zenon_H1ca zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H5e zenon_H5b zenon_H59 zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.43  apply (zenon_L802_); trivial.
% 1.32/1.43  apply (zenon_L1030_); trivial.
% 1.32/1.43  (* end of lemma zenon_L1042_ *)
% 1.32/1.43  assert (zenon_L1043_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.32/1.43  do 0 intro. intros zenon_H13e zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1b9 zenon_H1ca zenon_H5e zenon_Hd9 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H147 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hef zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H105 zenon_H2a1 zenon_H13f zenon_H2b0 zenon_H141 zenon_H10e zenon_H201 zenon_H1ae zenon_H1db zenon_H5b zenon_H59 zenon_H18d zenon_H111 zenon_H165 zenon_H4e zenon_H1cd.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.43  apply (zenon_L807_); trivial.
% 1.32/1.43  apply (zenon_L1042_); trivial.
% 1.32/1.43  (* end of lemma zenon_L1043_ *)
% 1.32/1.43  assert (zenon_L1044_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.32/1.43  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4e zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H5e zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha3 zenon_H1ca zenon_H1b9 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H1ae zenon_H1db zenon_H1cd zenon_H13e.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.43  apply (zenon_L52_); trivial.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.43  apply (zenon_L40_); trivial.
% 1.32/1.43  apply (zenon_L801_); trivial.
% 1.32/1.43  apply (zenon_L1032_); trivial.
% 1.32/1.43  apply (zenon_L45_); trivial.
% 1.32/1.43  (* end of lemma zenon_L1044_ *)
% 1.32/1.43  assert (zenon_L1045_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.32/1.43  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H1cb zenon_H1ae zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1b9 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1db zenon_H5b zenon_H105 zenon_H165.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.43  apply (zenon_L792_); trivial.
% 1.32/1.43  apply (zenon_L1032_); trivial.
% 1.32/1.43  (* end of lemma zenon_L1045_ *)
% 1.32/1.43  assert (zenon_L1046_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.32/1.43  do 0 intro. intros zenon_H13e zenon_H1cd zenon_H4e zenon_H1cb zenon_H1ae zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1b9 zenon_H1ca zenon_Ha3 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hd9 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1db zenon_H105 zenon_H165 zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.43  apply (zenon_L52_); trivial.
% 1.32/1.43  apply (zenon_L1045_); trivial.
% 1.32/1.43  (* end of lemma zenon_L1046_ *)
% 1.32/1.43  assert (zenon_L1047_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.32/1.43  do 0 intro. intros zenon_H13e zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1b9 zenon_H1ca zenon_Ha3 zenon_Hd9 zenon_H1db zenon_H5b zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H111 zenon_H158 zenon_H18d zenon_H59 zenon_H147 zenon_H1ae zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hef zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H105 zenon_H2a1 zenon_H13f zenon_H2b0 zenon_H141 zenon_H10e zenon_H201 zenon_H19d zenon_H165 zenon_H4e zenon_H1cd.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.43  apply (zenon_L738_); trivial.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.43  apply (zenon_L12_); trivial.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.32/1.43  apply (zenon_L80_); trivial.
% 1.32/1.43  apply (zenon_L806_); trivial.
% 1.32/1.43  apply (zenon_L637_); trivial.
% 1.32/1.43  apply (zenon_L745_); trivial.
% 1.32/1.43  apply (zenon_L1045_); trivial.
% 1.32/1.43  (* end of lemma zenon_L1047_ *)
% 1.32/1.43  assert (zenon_L1048_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.32/1.43  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H16f zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H243 zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.43  apply (zenon_L240_); trivial.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.43  apply (zenon_L1027_); trivial.
% 1.32/1.43  apply (zenon_L831_); trivial.
% 1.32/1.43  (* end of lemma zenon_L1048_ *)
% 1.32/1.43  assert (zenon_L1049_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.32/1.43  do 0 intro. intros zenon_H80 zenon_H97 zenon_Haf zenon_H2ab zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_H147 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H1ae zenon_H4b zenon_H13e.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.43  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.43  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.43  apply (zenon_L833_); trivial.
% 1.32/1.43  apply (zenon_L1048_); trivial.
% 1.32/1.43  apply (zenon_L656_); trivial.
% 1.32/1.43  (* end of lemma zenon_L1049_ *)
% 1.32/1.43  assert (zenon_L1050_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H96 zenon_H16f zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H21c zenon_H217 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H13e zenon_H62 zenon_H5e zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H1ca zenon_H2ab zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H19f zenon_H3 zenon_H23a zenon_H13a zenon_Haf zenon_H97.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.44  apply (zenon_L657_); trivial.
% 1.32/1.44  apply (zenon_L1049_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1050_ *)
% 1.32/1.44  assert (zenon_L1051_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H10e zenon_H21c zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.44  apply (zenon_L690_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.44  apply (zenon_L40_); trivial.
% 1.32/1.44  apply (zenon_L883_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1051_ *)
% 1.32/1.44  assert (zenon_L1052_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H1ce zenon_H4b zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.44  apply (zenon_L525_); trivial.
% 1.32/1.44  apply (zenon_L735_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1052_ *)
% 1.32/1.44  assert (zenon_L1053_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H4b zenon_H10e zenon_H2a1 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.44  apply (zenon_L690_); trivial.
% 1.32/1.44  apply (zenon_L1052_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1053_ *)
% 1.32/1.44  assert (zenon_L1054_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H6d zenon_H62 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H13a zenon_H189 zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H4b zenon_H243 zenon_H15 zenon_H10e zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H117 zenon_H16f zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_He zenon_Hd zenon_Hc zenon_H154 zenon_H12a zenon_H19d zenon_Hca zenon_H158 zenon_Hef zenon_H147 zenon_Hb3 zenon_Hb1 zenon_H255 zenon_H165 zenon_H4e zenon_H1cd.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.44  apply (zenon_L854_); trivial.
% 1.32/1.44  apply (zenon_L1053_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1054_ *)
% 1.32/1.44  assert (zenon_L1055_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H27 zenon_H154 zenon_H147 zenon_Hb3 zenon_H255 zenon_H165 zenon_H1cd zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_Ha3 zenon_H247 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H21c zenon_H4e zenon_H13e.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.44  apply (zenon_L842_); trivial.
% 1.32/1.44  apply (zenon_L1051_); trivial.
% 1.32/1.44  apply (zenon_L1054_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1055_ *)
% 1.32/1.44  assert (zenon_L1056_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H8f zenon_H96 zenon_H62 zenon_H27 zenon_H154 zenon_Hb3 zenon_H255 zenon_Hc zenon_Hd zenon_He zenon_H24e zenon_H24c zenon_H24d zenon_H16f zenon_H126 zenon_H243 zenon_H19f zenon_H247 zenon_H105 zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.44  apply (zenon_L1033_); trivial.
% 1.32/1.44  apply (zenon_L1055_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1056_ *)
% 1.32/1.44  assert (zenon_L1057_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H4a zenon_H165 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.44  apply (zenon_L1027_); trivial.
% 1.32/1.44  apply (zenon_L385_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1057_ *)
% 1.32/1.44  assert (zenon_L1058_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_H154 zenon_H1cd zenon_H4e zenon_H111 zenon_H18d zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H2a1 zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_H247 zenon_H158 zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H1ca zenon_H147 zenon_H117 zenon_H19d zenon_Hca zenon_H1b9 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H4b zenon_H165 zenon_H13e.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.44  apply (zenon_L690_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.44  apply (zenon_L31_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.32/1.44  apply (zenon_L897_); trivial.
% 1.32/1.44  apply (zenon_L751_); trivial.
% 1.32/1.44  apply (zenon_L408_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.44  apply (zenon_L690_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.44  apply (zenon_L31_); trivial.
% 1.32/1.44  apply (zenon_L1057_); trivial.
% 1.32/1.44  apply (zenon_L871_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1058_ *)
% 1.32/1.44  assert (zenon_L1059_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H3 zenon_H23a zenon_H117 zenon_H19d zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H13e.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.44  apply (zenon_L888_); trivial.
% 1.32/1.44  apply (zenon_L1031_); trivial.
% 1.32/1.44  apply (zenon_L25_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1059_ *)
% 1.32/1.44  assert (zenon_L1060_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H80 zenon_H97 zenon_Haf zenon_H2ab zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H147 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H1ae zenon_H4b zenon_H13e.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.44  apply (zenon_L891_); trivial.
% 1.32/1.44  apply (zenon_L1048_); trivial.
% 1.32/1.44  apply (zenon_L656_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1060_ *)
% 1.32/1.44  assert (zenon_L1061_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H16f zenon_H5b zenon_H1db zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.44  apply (zenon_L1027_); trivial.
% 1.32/1.44  apply (zenon_L903_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1061_ *)
% 1.32/1.44  assert (zenon_L1062_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2411)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(hskp20)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp3)) -> (~(hskp28)) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H238 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd9 zenon_H9c zenon_H9a zenon_H9b zenon_Hcd zenon_Hcc zenon_Hd7 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H35 zenon_H21c zenon_H227 zenon_H229.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H21e | zenon_intro zenon_H239 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 1.32/1.44  apply (zenon_L251_); trivial.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 1.32/1.44  apply (zenon_L514_); trivial.
% 1.32/1.44  exact (zenon_H35 zenon_H36).
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.32/1.44  apply (zenon_L251_); trivial.
% 1.32/1.44  apply (zenon_L139_); trivial.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H228 | zenon_intro zenon_H22a ].
% 1.32/1.44  exact (zenon_H227 zenon_H228).
% 1.32/1.44  exact (zenon_H229 zenon_H22a).
% 1.32/1.44  (* end of lemma zenon_L1062_ *)
% 1.32/1.44  assert (zenon_L1063_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2411)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(hskp20)) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp3)) -> (~(hskp28)) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H238 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd9 zenon_H9c zenon_H9a zenon_H9b zenon_Hcd zenon_Hcc zenon_Hd7 zenon_H1bc zenon_H1bd zenon_H1be zenon_H21c zenon_H227 zenon_H229.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H21e | zenon_intro zenon_H239 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.32/1.44  apply (zenon_L149_); trivial.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.32/1.44  apply (zenon_L251_); trivial.
% 1.32/1.44  apply (zenon_L139_); trivial.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H228 | zenon_intro zenon_H22a ].
% 1.32/1.44  exact (zenon_H227 zenon_H228).
% 1.32/1.44  exact (zenon_H229 zenon_H22a).
% 1.32/1.44  (* end of lemma zenon_L1063_ *)
% 1.32/1.44  assert (zenon_L1064_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H1cb zenon_H4b zenon_H1ae zenon_H237 zenon_H1b9 zenon_H299 zenon_H298 zenon_H29a zenon_H7c zenon_H1a1 zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H227 zenon_H238 zenon_H18d zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.44  apply (zenon_L40_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.32/1.44  apply (zenon_L1062_); trivial.
% 1.32/1.44  apply (zenon_L647_); trivial.
% 1.32/1.44  apply (zenon_L147_); trivial.
% 1.32/1.44  apply (zenon_L148_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.32/1.44  apply (zenon_L1063_); trivial.
% 1.32/1.44  apply (zenon_L1003_); trivial.
% 1.32/1.44  apply (zenon_L155_); trivial.
% 1.32/1.44  apply (zenon_L637_); trivial.
% 1.32/1.44  apply (zenon_L385_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1064_ *)
% 1.32/1.44  assert (zenon_L1065_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H237 zenon_H1a1 zenon_H7c zenon_H5e zenon_Hd9 zenon_H227 zenon_H238 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H29a zenon_H298 zenon_H299 zenon_H1b9 zenon_H1ae zenon_H1cb zenon_H165 zenon_H4e zenon_H1cd zenon_H13e.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.44  apply (zenon_L52_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.44  apply (zenon_L562_); trivial.
% 1.32/1.44  apply (zenon_L382_); trivial.
% 1.32/1.44  apply (zenon_L1064_); trivial.
% 1.32/1.44  apply (zenon_L45_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1065_ *)
% 1.32/1.44  assert (zenon_L1066_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H16f zenon_H1db zenon_H1ae zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1b9 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_Hca zenon_H237 zenon_H105 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hd9 zenon_H227 zenon_H238 zenon_H1 zenon_H5b zenon_Hb7 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.44  apply (zenon_L40_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.44  apply (zenon_L522_); trivial.
% 1.32/1.44  apply (zenon_L313_); trivial.
% 1.32/1.44  apply (zenon_L631_); trivial.
% 1.32/1.44  apply (zenon_L800_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.32/1.44  apply (zenon_L1062_); trivial.
% 1.32/1.44  apply (zenon_L1008_); trivial.
% 1.32/1.44  apply (zenon_L147_); trivial.
% 1.32/1.44  apply (zenon_L148_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.32/1.44  apply (zenon_L48_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.32/1.44  apply (zenon_L1063_); trivial.
% 1.32/1.44  apply (zenon_L521_); trivial.
% 1.32/1.44  apply (zenon_L155_); trivial.
% 1.32/1.44  apply (zenon_L389_); trivial.
% 1.32/1.44  apply (zenon_L903_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1066_ *)
% 1.32/1.44  assert (zenon_L1067_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H111 zenon_H18d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H10e zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.44  apply (zenon_L738_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.44  apply (zenon_L40_); trivial.
% 1.32/1.44  apply (zenon_L908_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1067_ *)
% 1.32/1.44  assert (zenon_L1068_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_H13e zenon_H4e zenon_H165 zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H158 zenon_H1ca zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H27 zenon_H4b zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H2b8 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H13f zenon_H2b0 zenon_H10e zenon_H1cd zenon_H28a zenon_H28b zenon_H28c zenon_H62.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.44  apply (zenon_L738_); trivial.
% 1.32/1.44  apply (zenon_L701_); trivial.
% 1.32/1.44  apply (zenon_L977_); trivial.
% 1.32/1.44  apply (zenon_L1053_); trivial.
% 1.32/1.44  apply (zenon_L918_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1068_ *)
% 1.32/1.44  assert (zenon_L1069_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H28c zenon_H28b zenon_H28a zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H154 zenon_Hb3 zenon_H255 zenon_H4e zenon_H1cd zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H147 zenon_H21c zenon_H1b9 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H165 zenon_H13e.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.44  apply (zenon_L987_); trivial.
% 1.32/1.44  apply (zenon_L1054_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1069_ *)
% 1.32/1.44  assert (zenon_L1070_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H92 zenon_H98 zenon_H28c zenon_H28b zenon_H28a zenon_H154 zenon_H255 zenon_H62 zenon_H5e zenon_H27 zenon_H105 zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H19f zenon_H243 zenon_H126 zenon_H16f zenon_H24d zenon_H24c zenon_H24e zenon_Haf zenon_Hb3 zenon_H96.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.32/1.44  apply (zenon_L989_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.44  apply (zenon_L939_); trivial.
% 1.32/1.44  apply (zenon_L1069_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1070_ *)
% 1.32/1.44  assert (zenon_L1071_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1b9 zenon_H21c zenon_H1ca zenon_H217 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H147 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd zenon_H5e zenon_H62.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.44  apply (zenon_L362_); trivial.
% 1.32/1.44  apply (zenon_L894_); trivial.
% 1.32/1.44  apply (zenon_L935_); trivial.
% 1.32/1.44  apply (zenon_L25_); trivial.
% 1.32/1.44  apply (zenon_L28_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1071_ *)
% 1.32/1.44  assert (zenon_L1072_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2402))) -> (c3_1 (a2402)) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H72 zenon_Ha zenon_H2c1 zenon_H2c2 zenon_H2c3.
% 1.32/1.44  generalize (zenon_H72 (a2402)). zenon_intro zenon_H2c4.
% 1.32/1.44  apply (zenon_imply_s _ _ zenon_H2c4); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c5 ].
% 1.32/1.44  exact (zenon_H9 zenon_Ha).
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c6 ].
% 1.32/1.44  exact (zenon_H2c1 zenon_H2c7).
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2c9 | zenon_intro zenon_H2c8 ].
% 1.32/1.44  exact (zenon_H2c2 zenon_H2c9).
% 1.32/1.44  exact (zenon_H2c8 zenon_H2c3).
% 1.32/1.44  (* end of lemma zenon_L1072_ *)
% 1.32/1.44  assert (zenon_L1073_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (c3_1 (a2402)) -> False).
% 1.32/1.44  do 0 intro. intros zenon_Ha5 zenon_Ha zenon_H2c1 zenon_H72 zenon_H2c3.
% 1.32/1.44  generalize (zenon_Ha5 (a2402)). zenon_intro zenon_H2ca.
% 1.32/1.44  apply (zenon_imply_s _ _ zenon_H2ca); [ zenon_intro zenon_H9 | zenon_intro zenon_H2cb ].
% 1.32/1.44  exact (zenon_H9 zenon_Ha).
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2cc ].
% 1.32/1.44  exact (zenon_H2c1 zenon_H2c7).
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c8 ].
% 1.32/1.44  apply (zenon_L1072_); trivial.
% 1.32/1.44  exact (zenon_H2c8 zenon_H2c3).
% 1.32/1.44  (* end of lemma zenon_L1073_ *)
% 1.32/1.44  assert (zenon_L1074_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c1_1 (a2402))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H1cb zenon_H2c3 zenon_H72 zenon_H2c1 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H19 zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.32/1.44  apply (zenon_L1073_); trivial.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.32/1.44  apply (zenon_L13_); trivial.
% 1.32/1.44  apply (zenon_L144_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1074_ *)
% 1.32/1.44  assert (zenon_L1075_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp1)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H1ae zenon_H43 zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H2c zenon_H2b zenon_H2a zenon_H19 zenon_H107 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd7.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H39 | zenon_intro zenon_H1af ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 1.32/1.44  apply (zenon_L1074_); trivial.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.32/1.44  apply (zenon_L82_); trivial.
% 1.32/1.44  exact (zenon_H43 zenon_H44).
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H18f | zenon_intro zenon_Hd8 ].
% 1.32/1.44  apply (zenon_L139_); trivial.
% 1.32/1.44  exact (zenon_Hd7 zenon_Hd8).
% 1.32/1.44  (* end of lemma zenon_L1075_ *)
% 1.32/1.44  assert (zenon_L1076_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp20)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp17)) -> (~(hskp18)) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H13b zenon_H1b9 zenon_Hd7 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H107 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H43 zenon_H1ae zenon_H145 zenon_H1b7.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ].
% 1.32/1.44  apply (zenon_L1075_); trivial.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ].
% 1.32/1.44  exact (zenon_H145 zenon_H146).
% 1.32/1.44  exact (zenon_H1b7 zenon_H1b8).
% 1.32/1.44  (* end of lemma zenon_L1076_ *)
% 1.32/1.44  assert (zenon_L1077_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ae zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H145 zenon_H1b9 zenon_H13a zenon_H4b.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.32/1.44  apply (zenon_L80_); trivial.
% 1.32/1.44  apply (zenon_L1076_); trivial.
% 1.32/1.44  apply (zenon_L147_); trivial.
% 1.32/1.44  apply (zenon_L148_); trivial.
% 1.32/1.44  apply (zenon_L150_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1077_ *)
% 1.32/1.44  assert (zenon_L1078_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.32/1.44  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H59 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.44  apply (zenon_L281_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.44  apply (zenon_L40_); trivial.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.32/1.44  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.32/1.44  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.44  apply (zenon_L1077_); trivial.
% 1.32/1.44  apply (zenon_L214_); trivial.
% 1.32/1.44  (* end of lemma zenon_L1078_ *)
% 1.32/1.44  assert (zenon_L1079_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H13e zenon_H46 zenon_H217 zenon_H15 zenon_H23a zenon_H3 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H237 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H4e zenon_H1cd.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.45  apply (zenon_L1078_); trivial.
% 1.32/1.45  apply (zenon_L275_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1079_ *)
% 1.32/1.45  assert (zenon_L1080_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H8f zenon_H96 zenon_H97 zenon_H139 zenon_H1cd zenon_H4e zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H1b9 zenon_H107 zenon_H165 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H237 zenon_H8d zenon_H105 zenon_H3 zenon_H23a zenon_H15 zenon_H217 zenon_H43 zenon_H46 zenon_H4b zenon_H13e.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.45  apply (zenon_L276_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.45  apply (zenon_L1079_); trivial.
% 1.32/1.45  apply (zenon_L277_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1080_ *)
% 1.32/1.45  assert (zenon_L1081_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H98 zenon_H139 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H1ca zenon_H1c6 zenon_H1b9 zenon_H165 zenon_H1 zenon_Hb7 zenon_H237 zenon_H8d zenon_H105 zenon_H23a zenon_H97 zenon_H6e zenon_H15 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e zenon_H1cd zenon_H247 zenon_H107 zenon_H7e zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_Hc6 zenon_Hca zenon_H217 zenon_H13e zenon_H96.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.32/1.45  apply (zenon_L378_); trivial.
% 1.32/1.45  apply (zenon_L1080_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1081_ *)
% 1.32/1.45  assert (zenon_L1082_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (~(hskp10)) -> (~(hskp16)) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H7e zenon_H2c3 zenon_H2c1 zenon_Ha zenon_Ha5 zenon_H7c zenon_H23.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H72 | zenon_intro zenon_H7f ].
% 1.32/1.45  apply (zenon_L1073_); trivial.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H7d | zenon_intro zenon_H24 ].
% 1.32/1.45  exact (zenon_H7c zenon_H7d).
% 1.32/1.45  exact (zenon_H23 zenon_H24).
% 1.32/1.45  (* end of lemma zenon_L1082_ *)
% 1.32/1.45  assert (zenon_L1083_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp16)) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp1)) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H139 zenon_H65 zenon_H64 zenon_H66 zenon_Haf zenon_H23 zenon_H7c zenon_Ha zenon_H2c1 zenon_H2c3 zenon_H7e zenon_H43.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ].
% 1.32/1.45  apply (zenon_L43_); trivial.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.32/1.45  apply (zenon_L1082_); trivial.
% 1.32/1.45  exact (zenon_H43 zenon_H44).
% 1.32/1.45  (* end of lemma zenon_L1083_ *)
% 1.32/1.45  assert (zenon_L1084_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H6d zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H37 zenon_Haf zenon_H7c zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H139.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.45  apply (zenon_L1083_); trivial.
% 1.32/1.45  apply (zenon_L87_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1084_ *)
% 1.32/1.45  assert (zenon_L1085_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H97 zenon_Haf zenon_H7c zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H139 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.45  apply (zenon_L88_); trivial.
% 1.32/1.45  apply (zenon_L1084_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1085_ *)
% 1.32/1.45  assert (zenon_L1086_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H166 zenon_Ha zenon_H2c1 zenon_H2cd zenon_H2c3.
% 1.32/1.45  generalize (zenon_H166 (a2402)). zenon_intro zenon_H2ce.
% 1.32/1.45  apply (zenon_imply_s _ _ zenon_H2ce); [ zenon_intro zenon_H9 | zenon_intro zenon_H2cf ].
% 1.32/1.45  exact (zenon_H9 zenon_Ha).
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2d0 ].
% 1.32/1.45  exact (zenon_H2c1 zenon_H2c7).
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2c8 ].
% 1.32/1.45  exact (zenon_H2d1 zenon_H2cd).
% 1.32/1.45  exact (zenon_H2c8 zenon_H2c3).
% 1.32/1.45  (* end of lemma zenon_L1086_ *)
% 1.32/1.45  assert (zenon_L1087_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Ha zenon_Hed.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.32/1.45  apply (zenon_L6_); trivial.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.32/1.45  apply (zenon_L1086_); trivial.
% 1.32/1.45  exact (zenon_Hed zenon_Hee).
% 1.32/1.45  (* end of lemma zenon_L1087_ *)
% 1.32/1.45  assert (zenon_L1088_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.32/1.45  apply (zenon_L1087_); trivial.
% 1.32/1.45  apply (zenon_L177_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1088_ *)
% 1.32/1.45  assert (zenon_L1089_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H111 zenon_H1b9 zenon_H145 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1b7 zenon_H1e0 zenon_H10e.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.45  apply (zenon_L1088_); trivial.
% 1.32/1.45  apply (zenon_L147_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1089_ *)
% 1.32/1.45  assert (zenon_L1090_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_Hc3 zenon_H10e zenon_H1e0 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H145 zenon_H1b9 zenon_H111.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.45  apply (zenon_L1089_); trivial.
% 1.32/1.45  apply (zenon_L150_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1090_ *)
% 1.32/1.45  assert (zenon_L1091_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_Hc3 zenon_H43 zenon_H1c6 zenon_H1ca.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.45  apply (zenon_L1090_); trivial.
% 1.32/1.45  apply (zenon_L214_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1091_ *)
% 1.32/1.45  assert (zenon_L1092_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H1cd zenon_H111 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.45  apply (zenon_L281_); trivial.
% 1.32/1.45  apply (zenon_L1091_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1092_ *)
% 1.32/1.45  assert (zenon_L1093_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H10e zenon_H1e0 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H145 zenon_H1b9 zenon_H111.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.45  apply (zenon_L1089_); trivial.
% 1.32/1.45  apply (zenon_L168_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1093_ *)
% 1.32/1.45  assert (zenon_L1094_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H13e zenon_H25 zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H59 zenon_H111 zenon_H1cd.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.45  apply (zenon_L1092_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.45  apply (zenon_L240_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.45  apply (zenon_L1093_); trivial.
% 1.32/1.45  apply (zenon_L214_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1094_ *)
% 1.32/1.45  assert (zenon_L1095_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H50 zenon_H51 zenon_H52 zenon_H21c zenon_H1ca.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.45  apply (zenon_L1089_); trivial.
% 1.32/1.45  apply (zenon_L241_); trivial.
% 1.32/1.45  apply (zenon_L214_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1095_ *)
% 1.32/1.45  assert (zenon_L1096_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H50 zenon_H51 zenon_H52 zenon_H21c zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.45  apply (zenon_L240_); trivial.
% 1.32/1.45  apply (zenon_L1095_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1096_ *)
% 1.32/1.45  assert (zenon_L1097_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H62 zenon_H21c zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1ae zenon_H1cd zenon_H111 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165 zenon_H15 zenon_H217 zenon_H1d9 zenon_H13e.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.45  apply (zenon_L1094_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.45  apply (zenon_L303_); trivial.
% 1.32/1.45  apply (zenon_L1096_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1097_ *)
% 1.32/1.45  assert (zenon_L1098_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H112 zenon_H165 zenon_H139 zenon_H10e zenon_H154 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H147 zenon_H158 zenon_H4b.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.32/1.45  apply (zenon_L1087_); trivial.
% 1.32/1.45  apply (zenon_L108_); trivial.
% 1.32/1.45  apply (zenon_L98_); trivial.
% 1.32/1.45  apply (zenon_L100_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1098_ *)
% 1.32/1.45  assert (zenon_L1099_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H6d zenon_H13e zenon_H10e zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H4b zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H165.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.45  apply (zenon_L101_); trivial.
% 1.32/1.45  apply (zenon_L1098_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1099_ *)
% 1.32/1.45  assert (zenon_L1100_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H92 zenon_H98 zenon_H8d zenon_H97 zenon_Haf zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H139 zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_H33 zenon_H37 zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H96.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.45  apply (zenon_L113_); trivial.
% 1.32/1.45  apply (zenon_L1084_); trivial.
% 1.32/1.45  apply (zenon_L114_); trivial.
% 1.32/1.45  apply (zenon_L116_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1100_ *)
% 1.32/1.45  assert (zenon_L1101_ : ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H286 zenon_H139 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H1ca zenon_H1c6 zenon_H1b9 zenon_H165 zenon_Hb7 zenon_H237 zenon_H105 zenon_H23a zenon_Ha3 zenon_H1cd zenon_H247 zenon_H107 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_Hc6 zenon_Hca zenon_H217 zenon_H13e zenon_Haf zenon_H13f zenon_H141 zenon_H21c zenon_H16f zenon_H2cd zenon_H1e0 zenon_H10e zenon_H1d9 zenon_H158 zenon_H154 zenon_H147 zenon_H95 zenon_H17 zenon_H15 zenon_H7 zenon_H98 zenon_H8d zenon_H97 zenon_H6e zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H37 zenon_H27 zenon_H5e zenon_H62 zenon_H7e zenon_H96 zenon_H178.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.32/1.45  apply (zenon_L348_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.32/1.45  apply (zenon_L1081_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.32/1.45  apply (zenon_L1085_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.45  apply (zenon_L90_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.45  apply (zenon_L1097_); trivial.
% 1.32/1.45  apply (zenon_L1099_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.32/1.45  apply (zenon_L379_); trivial.
% 1.32/1.45  apply (zenon_L1100_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1101_ *)
% 1.32/1.45  assert (zenon_L1102_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(hskp16)) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp1)) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_H19 zenon_H23 zenon_H7c zenon_Ha zenon_H2c1 zenon_H2c3 zenon_H7e zenon_H43.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 1.32/1.45  apply (zenon_L63_); trivial.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.32/1.45  apply (zenon_L1082_); trivial.
% 1.32/1.45  exact (zenon_H43 zenon_H44).
% 1.32/1.45  (* end of lemma zenon_L1102_ *)
% 1.32/1.45  assert (zenon_L1103_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp16)) -> (~(hskp13)) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H10d zenon_H27 zenon_H43 zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H7c zenon_H107 zenon_H23 zenon_H25.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ].
% 1.32/1.45  apply (zenon_L1102_); trivial.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ].
% 1.32/1.45  exact (zenon_H23 zenon_H24).
% 1.32/1.45  exact (zenon_H25 zenon_H26).
% 1.32/1.45  (* end of lemma zenon_L1103_ *)
% 1.32/1.45  assert (zenon_L1104_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(hskp29)) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H16f zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_H1f1 zenon_H1f2 zenon_H8d zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Ha zenon_Hed.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.32/1.45  apply (zenon_L194_); trivial.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.32/1.45  apply (zenon_L1086_); trivial.
% 1.32/1.45  exact (zenon_Hed zenon_Hee).
% 1.32/1.45  (* end of lemma zenon_L1104_ *)
% 1.32/1.45  assert (zenon_L1105_ : ((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H1fd zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_H8d zenon_H35 zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.32/1.45  apply (zenon_L1104_); trivial.
% 1.32/1.45  apply (zenon_L177_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1105_ *)
% 1.32/1.45  assert (zenon_L1106_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.32/1.45  apply (zenon_L192_); trivial.
% 1.32/1.45  apply (zenon_L1105_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1106_ *)
% 1.32/1.45  assert (zenon_L1107_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2478)) -> (~(c0_1 (a2478))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_He1 zenon_He2 zenon_Hf1 zenon_H105 zenon_H43 zenon_H107 zenon_H8d zenon_H35 zenon_H86 zenon_H85 zenon_H84 zenon_H1f2 zenon_H1f1 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.32/1.45  apply (zenon_L1104_); trivial.
% 1.32/1.45  apply (zenon_L161_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1107_ *)
% 1.32/1.45  assert (zenon_L1108_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H111 zenon_Hca zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H43 zenon_H107 zenon_H1 zenon_H5b zenon_Hb7 zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.45  apply (zenon_L1106_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.32/1.45  apply (zenon_L192_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.32/1.45  apply (zenon_L48_); trivial.
% 1.32/1.45  apply (zenon_L1107_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1108_ *)
% 1.32/1.45  assert (zenon_L1109_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H43 zenon_H107 zenon_H1 zenon_H5b zenon_Hb7 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.45  apply (zenon_L1108_); trivial.
% 1.32/1.45  apply (zenon_L86_); trivial.
% 1.32/1.45  apply (zenon_L168_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1109_ *)
% 1.32/1.45  assert (zenon_L1110_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H111 zenon_H27 zenon_H25 zenon_H23 zenon_H107 zenon_H43 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.45  apply (zenon_L1106_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.32/1.45  apply (zenon_L192_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.32/1.45  apply (zenon_L1104_); trivial.
% 1.32/1.45  apply (zenon_L69_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1110_ *)
% 1.32/1.45  assert (zenon_L1111_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H111 zenon_H27 zenon_H25 zenon_H23 zenon_H107 zenon_H43 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.45  apply (zenon_L1110_); trivial.
% 1.32/1.45  apply (zenon_L86_); trivial.
% 1.32/1.45  apply (zenon_L168_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1111_ *)
% 1.32/1.45  assert (zenon_L1112_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H112 zenon_H4e zenon_H33 zenon_H37 zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_H43 zenon_H107 zenon_H25 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.45  apply (zenon_L1111_); trivial.
% 1.32/1.45  apply (zenon_L87_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1112_ *)
% 1.32/1.45  assert (zenon_L1113_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H109 zenon_H139 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_Hba zenon_Hbb zenon_Hbc zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H43.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ].
% 1.32/1.45  apply (zenon_L81_); trivial.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.32/1.45  apply (zenon_L159_); trivial.
% 1.32/1.45  exact (zenon_H43 zenon_H44).
% 1.32/1.45  (* end of lemma zenon_L1113_ *)
% 1.32/1.45  assert (zenon_L1114_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H6d zenon_H13e zenon_H165 zenon_H4b zenon_H1b9 zenon_H201 zenon_Hca zenon_H10e zenon_H139 zenon_H105 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H117 zenon_H126 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H189 zenon_H13a zenon_H1c6 zenon_H1ca zenon_H147 zenon_H19d zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H1cd.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.32/1.45  apply (zenon_L192_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.32/1.45  apply (zenon_L79_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.32/1.45  apply (zenon_L1104_); trivial.
% 1.32/1.45  apply (zenon_L1113_); trivial.
% 1.32/1.45  apply (zenon_L126_); trivial.
% 1.32/1.45  apply (zenon_L167_); trivial.
% 1.32/1.45  apply (zenon_L150_); trivial.
% 1.32/1.45  apply (zenon_L100_); trivial.
% 1.32/1.45  apply (zenon_L221_); trivial.
% 1.32/1.45  apply (zenon_L1098_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1114_ *)
% 1.32/1.45  assert (zenon_L1115_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H80 zenon_H97 zenon_H139 zenon_H147 zenon_H19d zenon_H154 zenon_H158 zenon_H13e zenon_H4e zenon_H37 zenon_H141 zenon_H13f zenon_H27 zenon_H1d9 zenon_H165 zenon_H4b zenon_H1b9 zenon_H189 zenon_H201 zenon_Hca zenon_H10e zenon_H107 zenon_H43 zenon_H105 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H117 zenon_H126 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_Hc zenon_Hd zenon_He zenon_H33 zenon_H1a3 zenon_H13a zenon_H1c6 zenon_H1ca zenon_H1e0 zenon_H18d zenon_H111 zenon_H1cd zenon_H62.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.32/1.45  apply (zenon_L192_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.32/1.45  apply (zenon_L79_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.32/1.45  apply (zenon_L1104_); trivial.
% 1.32/1.45  apply (zenon_L211_); trivial.
% 1.32/1.45  apply (zenon_L137_); trivial.
% 1.32/1.45  apply (zenon_L167_); trivial.
% 1.32/1.45  apply (zenon_L150_); trivial.
% 1.32/1.45  apply (zenon_L214_); trivial.
% 1.32/1.45  apply (zenon_L1091_); trivial.
% 1.32/1.45  apply (zenon_L1112_); trivial.
% 1.32/1.45  apply (zenon_L115_); trivial.
% 1.32/1.45  apply (zenon_L1114_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1115_ *)
% 1.32/1.45  assert (zenon_L1116_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H1c5 zenon_H13a zenon_H247 zenon_H19f zenon_H191 zenon_H190 zenon_H3 zenon_H23a zenon_H2c zenon_H2b zenon_H2a zenon_H64 zenon_H65 zenon_H66 zenon_H7c zenon_Haf zenon_H2ab zenon_H237.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.32/1.45  apply (zenon_L475_); trivial.
% 1.32/1.45  apply (zenon_L650_); trivial.
% 1.32/1.45  apply (zenon_L652_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1116_ *)
% 1.32/1.45  assert (zenon_L1117_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H6d zenon_H4e zenon_H165 zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H237 zenon_H2ab zenon_H23a zenon_H3 zenon_H190 zenon_H191 zenon_H19f zenon_H247 zenon_H13a zenon_H1ca zenon_Haf zenon_H7c zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H139.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.45  apply (zenon_L1083_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.45  apply (zenon_L228_); trivial.
% 1.32/1.45  apply (zenon_L1116_); trivial.
% 1.32/1.45  apply (zenon_L655_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1117_ *)
% 1.32/1.45  assert (zenon_L1118_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H98 zenon_H8d zenon_H97 zenon_H165 zenon_H1b9 zenon_H237 zenon_H2ab zenon_H23a zenon_H190 zenon_H191 zenon_H19f zenon_H247 zenon_H13a zenon_H1ca zenon_Haf zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H96.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.45  apply (zenon_L26_); trivial.
% 1.32/1.45  apply (zenon_L1117_); trivial.
% 1.32/1.45  apply (zenon_L32_); trivial.
% 1.32/1.45  apply (zenon_L36_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1118_ *)
% 1.32/1.45  assert (zenon_L1119_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H175 zenon_H95 zenon_H141 zenon_H13f zenon_H96 zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H139 zenon_H2c1 zenon_H2c3 zenon_H7e zenon_Haf zenon_H1ca zenon_H13a zenon_H247 zenon_H19f zenon_H191 zenon_H190 zenon_H23a zenon_H2ab zenon_H237 zenon_H1b9 zenon_H165 zenon_H97 zenon_H8d zenon_H98.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.32/1.45  apply (zenon_L1118_); trivial.
% 1.32/1.45  apply (zenon_L1100_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1119_ *)
% 1.32/1.45  assert (zenon_L1120_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_Hc5 zenon_H237 zenon_H1a1 zenon_Haf zenon_H7c zenon_H66 zenon_H65 zenon_H64 zenon_H2a zenon_H2b zenon_H2c zenon_H23a zenon_H3 zenon_H190 zenon_H191 zenon_H123 zenon_H19f zenon_H247.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.32/1.45  apply (zenon_L475_); trivial.
% 1.32/1.45  apply (zenon_L255_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1120_ *)
% 1.32/1.45  assert (zenon_L1121_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H13b zenon_Hca zenon_H237 zenon_H1a1 zenon_H7c zenon_H3 zenon_H23a zenon_H1 zenon_H5b zenon_Hb7.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.32/1.45  apply (zenon_L48_); trivial.
% 1.32/1.45  apply (zenon_L797_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1121_ *)
% 1.32/1.45  assert (zenon_L1122_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H6d zenon_H4e zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H247 zenon_H19f zenon_H191 zenon_H190 zenon_H3 zenon_H23a zenon_H1a1 zenon_H237 zenon_Hca zenon_Haf zenon_H7c zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H139.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.45  apply (zenon_L1083_); trivial.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.32/1.45  apply (zenon_L48_); trivial.
% 1.32/1.45  apply (zenon_L1120_); trivial.
% 1.32/1.45  apply (zenon_L1121_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1122_ *)
% 1.32/1.45  assert (zenon_L1123_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H111 zenon_H27 zenon_H25 zenon_H23 zenon_H107 zenon_H43 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H3 zenon_H46 zenon_H4b.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.32/1.45  apply (zenon_L1110_); trivial.
% 1.32/1.45  apply (zenon_L19_); trivial.
% 1.32/1.45  apply (zenon_L168_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1123_ *)
% 1.32/1.45  assert (zenon_L1124_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.32/1.45  do 0 intro. intros zenon_H112 zenon_H4e zenon_H33 zenon_H37 zenon_H4b zenon_H46 zenon_H3 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_H43 zenon_H107 zenon_H25 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.45  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.45  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.45  apply (zenon_L1123_); trivial.
% 1.32/1.45  apply (zenon_L20_); trivial.
% 1.32/1.45  (* end of lemma zenon_L1124_ *)
% 1.32/1.45  assert (zenon_L1125_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H98 zenon_H117 zenon_H126 zenon_H12a zenon_H13e zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H2cd zenon_H16f zenon_H1e8 zenon_H1ed zenon_H105 zenon_H107 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_Hc6 zenon_H62 zenon_H97 zenon_H13a zenon_Hb7 zenon_H1 zenon_H247 zenon_H19f zenon_H191 zenon_H190 zenon_H23a zenon_H1a1 zenon_H237 zenon_Hca zenon_Haf zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H139 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e zenon_H96.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.46  apply (zenon_L41_); trivial.
% 1.32/1.46  apply (zenon_L1122_); trivial.
% 1.32/1.46  apply (zenon_L32_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.46  apply (zenon_L52_); trivial.
% 1.32/1.46  apply (zenon_L1124_); trivial.
% 1.32/1.46  apply (zenon_L35_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.46  apply (zenon_L41_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.46  apply (zenon_L83_); trivial.
% 1.32/1.46  apply (zenon_L1124_); trivial.
% 1.32/1.46  apply (zenon_L35_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1125_ *)
% 1.32/1.46  assert (zenon_L1126_ : ((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H204 zenon_H178 zenon_H5e zenon_H2ab zenon_H98 zenon_H117 zenon_H126 zenon_H12a zenon_H13e zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H2cd zenon_H16f zenon_H1e8 zenon_H1ed zenon_H105 zenon_H107 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_Hc6 zenon_H62 zenon_H97 zenon_H13a zenon_Hb7 zenon_H247 zenon_H19f zenon_H191 zenon_H190 zenon_H23a zenon_H1a1 zenon_H237 zenon_Hca zenon_Haf zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H139 zenon_Ha3 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H96 zenon_H13f zenon_H141 zenon_H1cd zenon_H158 zenon_H154 zenon_H19d zenon_H147 zenon_H1c6 zenon_H189 zenon_H1b9 zenon_H165 zenon_H95.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.32/1.46  apply (zenon_L1125_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.32/1.46  apply (zenon_L1085_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.46  apply (zenon_L52_); trivial.
% 1.32/1.46  apply (zenon_L1112_); trivial.
% 1.32/1.46  apply (zenon_L115_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.46  apply (zenon_L88_); trivial.
% 1.32/1.46  apply (zenon_L1114_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.32/1.46  apply (zenon_L1118_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.32/1.46  apply (zenon_L1085_); trivial.
% 1.32/1.46  apply (zenon_L116_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1126_ *)
% 1.32/1.46  assert (zenon_L1127_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H285 zenon_H1a1 zenon_H19d zenon_H1a3 zenon_H201 zenon_H1ed zenon_H2ab zenon_H19f zenon_H178 zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H6e zenon_H97 zenon_H8d zenon_H98 zenon_H7 zenon_H17 zenon_H95 zenon_H147 zenon_H154 zenon_H158 zenon_H1d9 zenon_H10e zenon_H1e0 zenon_H2cd zenon_H16f zenon_H21c zenon_H141 zenon_H13f zenon_Haf zenon_H13e zenon_H217 zenon_Hca zenon_Hc6 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H107 zenon_H247 zenon_H1cd zenon_Ha3 zenon_H23a zenon_H105 zenon_H237 zenon_Hb7 zenon_H165 zenon_H1b9 zenon_H1c6 zenon_H1ca zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H286.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.32/1.46  apply (zenon_L1101_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.32/1.46  apply (zenon_L4_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.46  apply (zenon_L1088_); trivial.
% 1.32/1.46  apply (zenon_L1103_); trivial.
% 1.32/1.46  apply (zenon_L168_); trivial.
% 1.32/1.46  apply (zenon_L87_); trivial.
% 1.32/1.46  apply (zenon_L25_); trivial.
% 1.32/1.46  apply (zenon_L1084_); trivial.
% 1.32/1.46  apply (zenon_L114_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.46  apply (zenon_L1109_); trivial.
% 1.32/1.46  apply (zenon_L87_); trivial.
% 1.32/1.46  apply (zenon_L115_); trivial.
% 1.32/1.46  apply (zenon_L1115_); trivial.
% 1.32/1.46  apply (zenon_L1119_); trivial.
% 1.32/1.46  apply (zenon_L1126_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1127_ *)
% 1.32/1.46  assert (zenon_L1128_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H111 zenon_H59 zenon_H18d zenon_H217 zenon_H15 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H1ae zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H145 zenon_H1b7 zenon_H1b9 zenon_H13a.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.32/1.46  apply (zenon_L239_); trivial.
% 1.32/1.46  apply (zenon_L1076_); trivial.
% 1.32/1.46  apply (zenon_L147_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1128_ *)
% 1.32/1.46  assert (zenon_L1129_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H13a zenon_H1b9 zenon_H145 zenon_H107 zenon_H43 zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H1ae zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_H15 zenon_H217 zenon_H18d zenon_H59 zenon_H111.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.46  apply (zenon_L1128_); trivial.
% 1.32/1.46  apply (zenon_L168_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1129_ *)
% 1.32/1.46  assert (zenon_L1130_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H4a zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H59 zenon_H18d zenon_H217 zenon_H15 zenon_Hcd zenon_Hcc zenon_Hda zenon_H1ae zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H13a zenon_H25 zenon_H1d9 zenon_H1ca.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.46  apply (zenon_L1129_); trivial.
% 1.32/1.46  apply (zenon_L293_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1130_ *)
% 1.32/1.46  assert (zenon_L1131_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.46  apply (zenon_L52_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.46  apply (zenon_L240_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.46  apply (zenon_L40_); trivial.
% 1.32/1.46  apply (zenon_L1130_); trivial.
% 1.32/1.46  apply (zenon_L25_); trivial.
% 1.32/1.46  apply (zenon_L28_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1131_ *)
% 1.32/1.46  assert (zenon_L1132_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H4a zenon_H165 zenon_H75 zenon_H74 zenon_H73 zenon_H111 zenon_H59 zenon_H18d zenon_H217 zenon_H15 zenon_Hcd zenon_Hcc zenon_Hda zenon_H1ae zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H13a zenon_H25 zenon_H1d9 zenon_H1ca.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.46  apply (zenon_L1129_); trivial.
% 1.32/1.46  apply (zenon_L214_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1132_ *)
% 1.32/1.46  assert (zenon_L1133_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H13e zenon_H25 zenon_H1d9 zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H4e zenon_H1cd.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.46  apply (zenon_L1078_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.46  apply (zenon_L240_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.46  apply (zenon_L31_); trivial.
% 1.32/1.46  apply (zenon_L1132_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1133_ *)
% 1.32/1.46  assert (zenon_L1134_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H98 zenon_H139 zenon_H237 zenon_H8d zenon_H105 zenon_H23a zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62 zenon_H21c zenon_H1c6 zenon_H126 zenon_H7e zenon_H247 zenon_H3 zenon_H46 zenon_H96.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.32/1.46  apply (zenon_L1131_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.46  apply (zenon_L1133_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.46  apply (zenon_L1078_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.46  apply (zenon_L240_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.32/1.46  apply (zenon_L40_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.46  apply (zenon_L1128_); trivial.
% 1.32/1.46  apply (zenon_L241_); trivial.
% 1.32/1.46  apply (zenon_L232_); trivial.
% 1.32/1.46  apply (zenon_L271_); trivial.
% 1.32/1.46  apply (zenon_L1080_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1134_ *)
% 1.32/1.46  assert (zenon_L1135_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H62 zenon_H16f zenon_H2cd zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H21c zenon_H1cd zenon_H4e zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H59 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165 zenon_H15 zenon_H217 zenon_H7e zenon_H7c zenon_H1d9 zenon_H13e.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.32/1.46  apply (zenon_L1133_); trivial.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.32/1.46  apply (zenon_L1078_); trivial.
% 1.32/1.46  apply (zenon_L1096_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1135_ *)
% 1.32/1.46  assert (zenon_L1136_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H111 zenon_H18d zenon_H59 zenon_H209 zenon_H20a zenon_H20b zenon_H159 zenon_H15a zenon_H15b zenon_H43 zenon_H107 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1b7 zenon_H1e0 zenon_H10e.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.32/1.46  apply (zenon_L1088_); trivial.
% 1.32/1.46  apply (zenon_L291_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1136_ *)
% 1.32/1.46  assert (zenon_L1137_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp14)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H162 zenon_H1ca zenon_H1c6 zenon_Hc3 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H107 zenon_H43 zenon_H20b zenon_H20a zenon_H209 zenon_H59 zenon_H18d zenon_H111.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.32/1.46  apply (zenon_L1136_); trivial.
% 1.32/1.46  apply (zenon_L150_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1137_ *)
% 1.32/1.46  assert (zenon_L1138_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_Hc3 zenon_H43 zenon_H1c6 zenon_H1ca.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.46  apply (zenon_L1090_); trivial.
% 1.32/1.46  apply (zenon_L1137_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1138_ *)
% 1.32/1.46  assert (zenon_L1139_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H1cd zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H111 zenon_H18d zenon_H59 zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H165.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.32/1.46  apply (zenon_L280_); trivial.
% 1.32/1.46  apply (zenon_L1137_); trivial.
% 1.32/1.46  apply (zenon_L1138_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1139_ *)
% 1.32/1.46  assert (zenon_L1140_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (c0_1 (a2408)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H209 zenon_H72 zenon_H20a zenon_H20b.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.32/1.46  apply (zenon_L1073_); trivial.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.32/1.46  apply (zenon_L13_); trivial.
% 1.32/1.46  apply (zenon_L230_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1140_ *)
% 1.32/1.46  assert (zenon_L1141_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp19)) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H109 zenon_H8d zenon_H43 zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H2c zenon_H2b zenon_H2a zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H86 zenon_H85 zenon_H84 zenon_H35.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.32/1.46  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 1.32/1.46  apply (zenon_L1140_); trivial.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.32/1.46  apply (zenon_L67_); trivial.
% 1.32/1.46  exact (zenon_H43 zenon_H44).
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 1.32/1.46  apply (zenon_L33_); trivial.
% 1.32/1.46  exact (zenon_H35 zenon_H36).
% 1.32/1.46  (* end of lemma zenon_L1141_ *)
% 1.32/1.46  assert (zenon_L1142_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.32/1.46  do 0 intro. intros zenon_H10e zenon_H8d zenon_H35 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.32/1.46  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.32/1.46  apply (zenon_L1087_); trivial.
% 1.32/1.46  apply (zenon_L1141_); trivial.
% 1.32/1.46  (* end of lemma zenon_L1142_ *)
% 1.32/1.46  assert (zenon_L1143_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H4b zenon_H111 zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H59 zenon_H18d zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H8d zenon_H10e.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.46  apply (zenon_L1142_); trivial.
% 1.35/1.46  apply (zenon_L148_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1143_ *)
% 1.35/1.46  assert (zenon_L1144_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H10e zenon_H8d zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H1ae zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H18d zenon_H59 zenon_H145 zenon_H1b9 zenon_H111 zenon_H4b.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.46  apply (zenon_L1143_); trivial.
% 1.35/1.46  apply (zenon_L168_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1144_ *)
% 1.35/1.46  assert (zenon_L1145_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H4e zenon_H1ae zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H1cb zenon_H8d zenon_H1d9 zenon_Ha3 zenon_H217 zenon_H15 zenon_H165 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H18d zenon_H111 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1cd zenon_H5b zenon_H5e zenon_H62.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.46  apply (zenon_L1139_); trivial.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.46  apply (zenon_L240_); trivial.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.46  apply (zenon_L40_); trivial.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.46  apply (zenon_L1144_); trivial.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.46  apply (zenon_L1142_); trivial.
% 1.35/1.46  apply (zenon_L292_); trivial.
% 1.35/1.46  apply (zenon_L25_); trivial.
% 1.35/1.46  apply (zenon_L28_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1145_ *)
% 1.35/1.46  assert (zenon_L1146_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H4a zenon_H4b zenon_H141 zenon_H13f zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H8d zenon_H10e.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.46  apply (zenon_L1142_); trivial.
% 1.35/1.46  apply (zenon_L86_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1146_ *)
% 1.35/1.46  assert (zenon_L1147_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H112 zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H8d zenon_H10e zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.46  apply (zenon_L40_); trivial.
% 1.35/1.46  apply (zenon_L1146_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1147_ *)
% 1.35/1.46  assert (zenon_L1148_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H80 zenon_H97 zenon_H139 zenon_H147 zenon_H154 zenon_H158 zenon_H1cd zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H111 zenon_H18d zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H165 zenon_Ha3 zenon_H8d zenon_H1cb zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H13f zenon_H141 zenon_H4e zenon_H13e.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.46  apply (zenon_L1139_); trivial.
% 1.35/1.46  apply (zenon_L1147_); trivial.
% 1.35/1.46  apply (zenon_L1099_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1148_ *)
% 1.35/1.46  assert (zenon_L1149_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H8f zenon_H96 zenon_H139 zenon_H147 zenon_H154 zenon_H158 zenon_H13f zenon_H141 zenon_H62 zenon_H5e zenon_H1cd zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H111 zenon_H18d zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H165 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1d9 zenon_H8d zenon_H1cb zenon_H105 zenon_H1ae zenon_H4e zenon_H13e zenon_H6e zenon_H97.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.46  apply (zenon_L1145_); trivial.
% 1.35/1.46  apply (zenon_L1148_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1149_ *)
% 1.35/1.46  assert (zenon_L1150_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H92 zenon_H98 zenon_H13f zenon_H141 zenon_H8d zenon_H105 zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62 zenon_H16f zenon_H2cd zenon_H1e0 zenon_H10e zenon_H21c zenon_H1c6 zenon_H126 zenon_H7e zenon_H158 zenon_H154 zenon_H147 zenon_H139 zenon_H247 zenon_H96.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.46  apply (zenon_L1131_); trivial.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.46  apply (zenon_L1135_); trivial.
% 1.35/1.46  apply (zenon_L363_); trivial.
% 1.35/1.46  apply (zenon_L1149_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1150_ *)
% 1.35/1.46  assert (zenon_L1151_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H1b9 zenon_H107 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H59 zenon_H111 zenon_H1c6 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H43 zenon_H3 zenon_H46 zenon_H4b.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.46  apply (zenon_L260_); trivial.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.46  apply (zenon_L12_); trivial.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.46  apply (zenon_L1077_); trivial.
% 1.35/1.46  apply (zenon_L293_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1151_ *)
% 1.35/1.46  assert (zenon_L1152_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H59 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.46  apply (zenon_L240_); trivial.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.46  apply (zenon_L12_); trivial.
% 1.35/1.46  apply (zenon_L1130_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1152_ *)
% 1.35/1.46  assert (zenon_L1153_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H13e zenon_H1d9 zenon_H217 zenon_H15 zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H1c6 zenon_H111 zenon_H59 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H107 zenon_H1b9 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H165 zenon_H4e zenon_H1cd.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.46  apply (zenon_L1151_); trivial.
% 1.35/1.46  apply (zenon_L1152_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1153_ *)
% 1.35/1.46  assert (zenon_L1154_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1d9 zenon_H217 zenon_H15 zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H1c6 zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H107 zenon_H1b9 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H165 zenon_H4e zenon_H1cd zenon_H5b zenon_H5e zenon_H62.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.46  apply (zenon_L1153_); trivial.
% 1.35/1.46  apply (zenon_L25_); trivial.
% 1.35/1.46  apply (zenon_L28_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1154_ *)
% 1.35/1.46  assert (zenon_L1155_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H98 zenon_H8d zenon_H97 zenon_H6e zenon_H13e zenon_H1d9 zenon_H217 zenon_H15 zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H1c6 zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H107 zenon_H1b9 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H165 zenon_H4e zenon_H1cd zenon_H5e zenon_H62 zenon_H21c zenon_H7e zenon_H139 zenon_H247 zenon_H96.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.46  apply (zenon_L1154_); trivial.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.46  apply (zenon_L1153_); trivial.
% 1.35/1.46  apply (zenon_L245_); trivial.
% 1.35/1.46  apply (zenon_L449_); trivial.
% 1.35/1.46  apply (zenon_L247_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1155_ *)
% 1.35/1.46  assert (zenon_L1156_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))) -> (~(hskp10)) -> (ndr1_0) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp1)) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H119 zenon_H7c zenon_Ha zenon_Hfb zenon_Hfc zenon_H18f zenon_H190 zenon_H191 zenon_H1e8 zenon_H1a1 zenon_H43.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 1.35/1.46  apply (zenon_L230_); trivial.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.35/1.46  apply (zenon_L323_); trivial.
% 1.35/1.46  exact (zenon_H43 zenon_H44).
% 1.35/1.46  (* end of lemma zenon_L1156_ *)
% 1.35/1.46  assert (zenon_L1157_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H109 zenon_H12a zenon_He1 zenon_He2 zenon_Hf1 zenon_H19d zenon_Hbc zenon_Hbb zenon_Hba zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H59 zenon_H18d.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ].
% 1.35/1.46  apply (zenon_L128_); trivial.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ].
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18f | zenon_intro zenon_H19e ].
% 1.35/1.46  apply (zenon_L1156_); trivial.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H116 ].
% 1.35/1.46  apply (zenon_L49_); trivial.
% 1.35/1.46  exact (zenon_H115 zenon_H116).
% 1.35/1.46  exact (zenon_H59 zenon_H5a).
% 1.35/1.46  apply (zenon_L129_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1157_ *)
% 1.35/1.46  assert (zenon_L1158_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False).
% 1.35/1.46  do 0 intro. intros zenon_H111 zenon_Hca zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H117 zenon_H35 zenon_H59 zenon_H18d zenon_H12a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1b7 zenon_H1e0 zenon_H10e.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.46  apply (zenon_L1088_); trivial.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.35/1.46  apply (zenon_L130_); trivial.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.35/1.46  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.35/1.46  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.46  apply (zenon_L1087_); trivial.
% 1.35/1.46  apply (zenon_L1157_); trivial.
% 1.35/1.46  (* end of lemma zenon_L1158_ *)
% 1.35/1.46  assert (zenon_L1159_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H4b zenon_H141 zenon_H13f zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H107 zenon_H43 zenon_H190 zenon_H191 zenon_H1e8 zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_Hca zenon_H111.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.47  apply (zenon_L1158_); trivial.
% 1.35/1.47  apply (zenon_L86_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1159_ *)
% 1.35/1.47  assert (zenon_L1160_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_Hca zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1e0 zenon_H10e zenon_H13f zenon_H141 zenon_H4b.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.47  apply (zenon_L1159_); trivial.
% 1.35/1.47  apply (zenon_L168_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1160_ *)
% 1.35/1.47  assert (zenon_L1161_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (~(hskp10)) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H109 zenon_H154 zenon_H65 zenon_H64 zenon_H66 zenon_Haf zenon_He zenon_Hd zenon_Hc zenon_H1a1 zenon_Hbc zenon_Hbb zenon_Hba zenon_H7c.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 1.35/1.47  apply (zenon_L43_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 1.35/1.47  apply (zenon_L6_); trivial.
% 1.35/1.47  apply (zenon_L136_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1161_ *)
% 1.35/1.47  assert (zenon_L1162_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H154 zenon_H1a1 zenon_H64 zenon_H65 zenon_H66 zenon_H7c zenon_Haf zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.47  apply (zenon_L1087_); trivial.
% 1.35/1.47  apply (zenon_L1161_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1162_ *)
% 1.35/1.47  assert (zenon_L1163_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H6d zenon_Hca zenon_H10e zenon_H154 zenon_H1a1 zenon_H7c zenon_Haf zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H1 zenon_H5b zenon_Hb7.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.35/1.47  apply (zenon_L48_); trivial.
% 1.35/1.47  apply (zenon_L1162_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1163_ *)
% 1.35/1.47  assert (zenon_L1164_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H97 zenon_H154 zenon_Haf zenon_H1 zenon_Hb7 zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H117 zenon_H18d zenon_H12a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1e0 zenon_H10e zenon_H13f zenon_H141 zenon_H4b zenon_H5b zenon_H5e zenon_H62.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.47  apply (zenon_L1160_); trivial.
% 1.35/1.47  apply (zenon_L25_); trivial.
% 1.35/1.47  apply (zenon_L1163_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1164_ *)
% 1.35/1.47  assert (zenon_L1165_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H1c5 zenon_H10e zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H52 zenon_H51 zenon_H50 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.47  apply (zenon_L1087_); trivial.
% 1.35/1.47  apply (zenon_L324_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1165_ *)
% 1.35/1.47  assert (zenon_L1166_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c0_1 (a2409)) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (~(hskp10)) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H1a1 zenon_H1e8 zenon_H191 zenon_H190 zenon_H18f zenon_H10c zenon_Hfc zenon_Hfb zenon_Ha zenon_H149 zenon_H7c.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ].
% 1.35/1.47  apply (zenon_L322_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ].
% 1.35/1.47  apply (zenon_L105_); trivial.
% 1.35/1.47  exact (zenon_H7c zenon_H7d).
% 1.35/1.47  (* end of lemma zenon_L1166_ *)
% 1.35/1.47  assert (zenon_L1167_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H6d zenon_H4e zenon_H10e zenon_H154 zenon_H1a1 zenon_H1e8 zenon_H191 zenon_H190 zenon_H247 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.47  apply (zenon_L31_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.47  apply (zenon_L1087_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 1.35/1.47  apply (zenon_L81_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 1.35/1.47  apply (zenon_L6_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ].
% 1.35/1.47  apply (zenon_L81_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ].
% 1.35/1.47  apply (zenon_L13_); trivial.
% 1.35/1.47  apply (zenon_L1166_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1167_ *)
% 1.35/1.47  assert (zenon_L1168_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H18d zenon_H59 zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.47  apply (zenon_L1087_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ].
% 1.35/1.47  apply (zenon_L128_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 1.35/1.47  apply (zenon_L230_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.35/1.47  apply (zenon_L159_); trivial.
% 1.35/1.47  exact (zenon_H43 zenon_H44).
% 1.35/1.47  exact (zenon_H59 zenon_H5a).
% 1.35/1.47  (* end of lemma zenon_L1168_ *)
% 1.35/1.47  assert (zenon_L1169_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H10d zenon_Hca zenon_H10e zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H117 zenon_H35 zenon_H59 zenon_H18d zenon_H12a.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.35/1.47  apply (zenon_L130_); trivial.
% 1.35/1.47  apply (zenon_L1168_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1169_ *)
% 1.35/1.47  assert (zenon_L1170_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H111 zenon_Hca zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.47  apply (zenon_L1106_); trivial.
% 1.35/1.47  apply (zenon_L1169_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1170_ *)
% 1.35/1.47  assert (zenon_L1171_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H62 zenon_H4b zenon_H141 zenon_H13f zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H105 zenon_H20b zenon_H20a zenon_H209 zenon_Hca zenon_H111 zenon_H1d9 zenon_H1ca.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.47  apply (zenon_L1170_); trivial.
% 1.35/1.47  apply (zenon_L86_); trivial.
% 1.35/1.47  apply (zenon_L168_); trivial.
% 1.35/1.47  apply (zenon_L115_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1171_ *)
% 1.35/1.47  assert (zenon_L1172_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H165 zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H1db zenon_H5b zenon_H154 zenon_H158 zenon_H4b zenon_H1b9 zenon_H201 zenon_Hca zenon_H10e zenon_H139 zenon_H105 zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H187 zenon_H189 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H13a zenon_H25 zenon_H1d9 zenon_H1ca.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.35/1.47  apply (zenon_L192_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.35/1.47  apply (zenon_L79_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.47  apply (zenon_L1104_); trivial.
% 1.35/1.47  apply (zenon_L188_); trivial.
% 1.35/1.47  apply (zenon_L126_); trivial.
% 1.35/1.47  apply (zenon_L167_); trivial.
% 1.35/1.47  apply (zenon_L168_); trivial.
% 1.35/1.47  apply (zenon_L198_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1172_ *)
% 1.35/1.47  assert (zenon_L1173_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H112 zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_H43 zenon_H107 zenon_H25 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.47  apply (zenon_L1111_); trivial.
% 1.35/1.47  apply (zenon_L1146_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1173_ *)
% 1.35/1.47  assert (zenon_L1174_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H80 zenon_H97 zenon_H13e zenon_H165 zenon_H1b9 zenon_H139 zenon_H126 zenon_H189 zenon_H13a zenon_H1c6 zenon_H147 zenon_H19d zenon_H154 zenon_H158 zenon_H1cd zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H117 zenon_H18d zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H13f zenon_H141 zenon_H4b zenon_H62.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.47  apply (zenon_L1171_); trivial.
% 1.35/1.47  apply (zenon_L1114_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1174_ *)
% 1.35/1.47  assert (zenon_L1175_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H8f zenon_H96 zenon_H147 zenon_H62 zenon_H4b zenon_H141 zenon_H13f zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H18d zenon_H117 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H105 zenon_H20b zenon_H20a zenon_H209 zenon_Hca zenon_H111 zenon_H1d9 zenon_H1ca zenon_H13e zenon_H165 zenon_H1db zenon_H154 zenon_H158 zenon_H1b9 zenon_H139 zenon_H189 zenon_H126 zenon_H13a zenon_H27 zenon_H1 zenon_Hb7 zenon_H1c6 zenon_H19d zenon_H1cb zenon_H4e zenon_H1cd zenon_H97.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.47  apply (zenon_L1171_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.47  apply (zenon_L1172_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.47  apply (zenon_L1109_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.47  apply (zenon_L1106_); trivial.
% 1.35/1.47  apply (zenon_L178_); trivial.
% 1.35/1.47  apply (zenon_L86_); trivial.
% 1.35/1.47  apply (zenon_L150_); trivial.
% 1.35/1.47  apply (zenon_L232_); trivial.
% 1.35/1.47  apply (zenon_L1173_); trivial.
% 1.35/1.47  apply (zenon_L115_); trivial.
% 1.35/1.47  apply (zenon_L1174_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1175_ *)
% 1.35/1.47  assert (zenon_L1176_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H97 zenon_H237 zenon_H2ab zenon_H23a zenon_H3 zenon_H190 zenon_H191 zenon_H19f zenon_H247 zenon_H13a zenon_Haf zenon_H7c zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5b zenon_H5e zenon_H62.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.47  apply (zenon_L234_); trivial.
% 1.35/1.47  apply (zenon_L1117_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1176_ *)
% 1.35/1.47  assert (zenon_L1177_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H1bc zenon_H1bd zenon_H1be zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H50 zenon_H51 zenon_H52 zenon_H107 zenon_H43 zenon_H7c zenon_H1a1 zenon_H10e zenon_H201.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.35/1.47  apply (zenon_L192_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.35/1.47  apply (zenon_L149_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.35/1.47  apply (zenon_L193_); trivial.
% 1.35/1.47  apply (zenon_L317_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.35/1.47  apply (zenon_L1086_); trivial.
% 1.35/1.47  exact (zenon_Hed zenon_Hee).
% 1.35/1.47  apply (zenon_L324_); trivial.
% 1.35/1.47  apply (zenon_L126_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1177_ *)
% 1.35/1.47  assert (zenon_L1178_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H1c5 zenon_H4b zenon_H46 zenon_H3 zenon_H201 zenon_H10e zenon_H1a1 zenon_H7c zenon_H43 zenon_H107 zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H187 zenon_H189 zenon_H13a.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.47  apply (zenon_L1177_); trivial.
% 1.35/1.47  apply (zenon_L19_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1178_ *)
% 1.35/1.47  assert (zenon_L1179_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (c0_1 (a2409)) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H2ab zenon_H66 zenon_H65 zenon_H64 zenon_H1be zenon_H1bd zenon_H1bc zenon_H149 zenon_Ha zenon_Hfb zenon_Hfc zenon_H10c.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H63 | zenon_intro zenon_H2ac ].
% 1.35/1.47  apply (zenon_L27_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1bb | zenon_intro zenon_Hf9 ].
% 1.35/1.47  apply (zenon_L149_); trivial.
% 1.35/1.47  apply (zenon_L105_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1179_ *)
% 1.35/1.47  assert (zenon_L1180_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H97 zenon_H16f zenon_H2cd zenon_He zenon_Hd zenon_Hc zenon_H2ab zenon_H154 zenon_H10e zenon_Haf zenon_H7c zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5b zenon_H5e zenon_H62.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.47  apply (zenon_L234_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.47  apply (zenon_L1083_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.47  apply (zenon_L228_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.47  apply (zenon_L1087_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 1.35/1.47  apply (zenon_L43_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 1.35/1.47  apply (zenon_L6_); trivial.
% 1.35/1.47  apply (zenon_L1179_); trivial.
% 1.35/1.47  apply (zenon_L232_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1180_ *)
% 1.35/1.47  assert (zenon_L1181_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H4a zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H50 zenon_H51 zenon_H52 zenon_H107 zenon_H43 zenon_H190 zenon_H191 zenon_H1e8 zenon_H7c zenon_H1a1 zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H10e zenon_H1ca.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.47  apply (zenon_L228_); trivial.
% 1.35/1.47  apply (zenon_L1165_); trivial.
% 1.35/1.47  apply (zenon_L232_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1181_ *)
% 1.35/1.47  assert (zenon_L1182_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H158 zenon_H267 zenon_H154 zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257 zenon_H5b zenon_H1db zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.47  apply (zenon_L1093_); trivial.
% 1.35/1.47  apply (zenon_L371_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1182_ *)
% 1.35/1.47  assert (zenon_L1183_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H1cd zenon_H165 zenon_H5b zenon_H1db zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H1e0 zenon_H10e zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.47  apply (zenon_L362_); trivial.
% 1.35/1.47  apply (zenon_L1182_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1183_ *)
% 1.35/1.47  assert (zenon_L1184_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H217 zenon_H15 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H1b9 zenon_H111 zenon_H1db zenon_H5b zenon_H165 zenon_H1cd zenon_H5e zenon_H62.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.47  apply (zenon_L1183_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.47  apply (zenon_L240_); trivial.
% 1.35/1.47  apply (zenon_L1182_); trivial.
% 1.35/1.47  apply (zenon_L25_); trivial.
% 1.35/1.47  apply (zenon_L28_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1184_ *)
% 1.35/1.47  assert (zenon_L1185_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H6d zenon_H13e zenon_H10e zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H4b zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H147 zenon_H139 zenon_H13a zenon_H165.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.47  apply (zenon_L482_); trivial.
% 1.35/1.47  apply (zenon_L1098_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1185_ *)
% 1.35/1.47  assert (zenon_L1186_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H92 zenon_H98 zenon_H105 zenon_H8d zenon_H97 zenon_H6e zenon_H13e zenon_H217 zenon_H15 zenon_H158 zenon_H267 zenon_H154 zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H1b9 zenon_H111 zenon_H1db zenon_H165 zenon_H1cd zenon_H5e zenon_H62 zenon_H21c zenon_H4e zenon_H1cb zenon_H1ae zenon_Ha3 zenon_H1c6 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H4b zenon_H107 zenon_H7e zenon_H139 zenon_H147 zenon_H247 zenon_H96.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.47  apply (zenon_L1184_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.47  apply (zenon_L1135_); trivial.
% 1.35/1.47  apply (zenon_L483_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.47  apply (zenon_L1184_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.47  apply (zenon_L1097_); trivial.
% 1.35/1.47  apply (zenon_L1185_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1186_ *)
% 1.35/1.47  assert (zenon_L1187_ : ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H286 zenon_H139 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H1ca zenon_H1c6 zenon_H1b9 zenon_H165 zenon_Hb7 zenon_H237 zenon_H105 zenon_H23a zenon_Ha3 zenon_H1cd zenon_H247 zenon_H107 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_Hc6 zenon_Hca zenon_H217 zenon_H13e zenon_H147 zenon_H21c zenon_H1db zenon_H16f zenon_H2cd zenon_H1e0 zenon_H10e zenon_H1d9 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H257 zenon_H154 zenon_H267 zenon_H158 zenon_H95 zenon_H17 zenon_H15 zenon_H7 zenon_H98 zenon_H8d zenon_H97 zenon_H6e zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H37 zenon_H27 zenon_H5e zenon_H62 zenon_H7e zenon_H96 zenon_H178.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.47  apply (zenon_L348_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.47  apply (zenon_L1081_); trivial.
% 1.35/1.47  apply (zenon_L1186_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.47  apply (zenon_L379_); trivial.
% 1.35/1.47  apply (zenon_L1186_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1187_ *)
% 1.35/1.47  assert (zenon_L1188_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2453))) -> (~(c1_1 (a2453))) -> (~(c0_1 (a2453))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (~(hskp10)) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H109 zenon_H154 zenon_H25d zenon_H25c zenon_H25b zenon_He zenon_Hd zenon_Hc zenon_H1a1 zenon_Hbc zenon_Hbb zenon_Hba zenon_H7c.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ].
% 1.35/1.47  apply (zenon_L353_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ].
% 1.35/1.47  apply (zenon_L6_); trivial.
% 1.35/1.47  apply (zenon_L136_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1188_ *)
% 1.35/1.47  assert (zenon_L1189_ : ((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H264 zenon_Hca zenon_H10e zenon_H154 zenon_H7c zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H1 zenon_H5b zenon_Hb7.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_Ha. zenon_intro zenon_H265.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H25b. zenon_intro zenon_H266.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H25d.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.35/1.47  apply (zenon_L48_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.47  apply (zenon_L1087_); trivial.
% 1.35/1.47  apply (zenon_L1188_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1189_ *)
% 1.35/1.47  assert (zenon_L1190_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H267 zenon_Hca zenon_H10e zenon_H154 zenon_H7c zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H1 zenon_H5b zenon_Hb7 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H258 | zenon_intro zenon_H264 ].
% 1.35/1.47  apply (zenon_L352_); trivial.
% 1.35/1.47  apply (zenon_L1189_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1190_ *)
% 1.35/1.47  assert (zenon_L1191_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1b7 zenon_H1e0 zenon_H10e.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.47  apply (zenon_L1088_); trivial.
% 1.35/1.47  apply (zenon_L408_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1191_ *)
% 1.35/1.47  assert (zenon_L1192_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H1ce zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H59 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H111.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.47  apply (zenon_L1191_); trivial.
% 1.35/1.47  apply (zenon_L168_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1192_ *)
% 1.35/1.47  assert (zenon_L1193_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H1cd zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H59 zenon_H111 zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H37 zenon_H33 zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b zenon_H4e.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.47  apply (zenon_L384_); trivial.
% 1.35/1.47  apply (zenon_L1192_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1193_ *)
% 1.35/1.47  assert (zenon_L1194_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H35 zenon_H8d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1b7 zenon_H1e0 zenon_H10e.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.47  apply (zenon_L1088_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.47  apply (zenon_L1087_); trivial.
% 1.35/1.47  apply (zenon_L583_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1194_ *)
% 1.35/1.47  assert (zenon_L1195_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H112 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H8d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_Hb7 zenon_H5b zenon_H1 zenon_Hca zenon_H4b.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.47  apply (zenon_L1194_); trivial.
% 1.35/1.47  apply (zenon_L389_); trivial.
% 1.35/1.47  apply (zenon_L168_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1195_ *)
% 1.35/1.47  assert (zenon_L1196_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c zenon_H2b zenon_H2a zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.47  apply (zenon_L1087_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 1.35/1.47  apply (zenon_L1074_); trivial.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.35/1.47  apply (zenon_L159_); trivial.
% 1.35/1.47  exact (zenon_H43 zenon_H44).
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.35/1.47  apply (zenon_L349_); trivial.
% 1.35/1.47  apply (zenon_L191_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1196_ *)
% 1.35/1.47  assert (zenon_L1197_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H4a zenon_Hca zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H1 zenon_H5b zenon_Hb7.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.35/1.47  apply (zenon_L48_); trivial.
% 1.35/1.47  apply (zenon_L1196_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1197_ *)
% 1.35/1.47  assert (zenon_L1198_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H4e zenon_H1cb zenon_Hc zenon_Hd zenon_He zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H27 zenon_H111 zenon_H1c6 zenon_H1ca zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H105 zenon_H270 zenon_Hca zenon_H4b zenon_H1d9 zenon_H13e.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.47  apply (zenon_L498_); trivial.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.47  apply (zenon_L1108_); trivial.
% 1.35/1.47  apply (zenon_L389_); trivial.
% 1.35/1.47  apply (zenon_L150_); trivial.
% 1.35/1.47  apply (zenon_L1197_); trivial.
% 1.35/1.47  apply (zenon_L1195_); trivial.
% 1.35/1.47  apply (zenon_L405_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1198_ *)
% 1.35/1.47  assert (zenon_L1199_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H18d zenon_H59 zenon_H4b zenon_H189 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H8d zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.47  apply (zenon_L1194_); trivial.
% 1.35/1.47  apply (zenon_L382_); trivial.
% 1.35/1.47  apply (zenon_L168_); trivial.
% 1.35/1.47  apply (zenon_L1192_); trivial.
% 1.35/1.47  (* end of lemma zenon_L1199_ *)
% 1.35/1.47  assert (zenon_L1200_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.47  do 0 intro. intros zenon_H80 zenon_H97 zenon_H147 zenon_H139 zenon_H13e zenon_H4b zenon_H8d zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H1d9 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1c6 zenon_H43 zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H1b9 zenon_H111 zenon_H107 zenon_H165 zenon_H1cd zenon_H1ae zenon_H62.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.47  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.47  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.47  apply (zenon_L362_); trivial.
% 1.35/1.48  apply (zenon_L1091_); trivial.
% 1.35/1.48  apply (zenon_L1199_); trivial.
% 1.35/1.48  apply (zenon_L410_); trivial.
% 1.35/1.48  apply (zenon_L1185_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1200_ *)
% 1.35/1.48  assert (zenon_L1201_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H1ce zenon_H1ca zenon_H21c zenon_H52 zenon_H51 zenon_H50 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H59 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H111.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.48  apply (zenon_L1191_); trivial.
% 1.35/1.48  apply (zenon_L241_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1201_ *)
% 1.35/1.48  assert (zenon_L1202_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H62 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H8d zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H111 zenon_H1d9 zenon_H1ca zenon_H13e.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.48  apply (zenon_L52_); trivial.
% 1.35/1.48  apply (zenon_L1195_); trivial.
% 1.35/1.48  apply (zenon_L405_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1202_ *)
% 1.35/1.48  assert (zenon_L1203_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp20)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H13b zenon_H270 zenon_Hd7 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H107 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H43 zenon_H1ae zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.35/1.48  apply (zenon_L1075_); trivial.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.35/1.48  apply (zenon_L349_); trivial.
% 1.35/1.48  apply (zenon_L191_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1203_ *)
% 1.35/1.48  assert (zenon_L1204_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H1cd zenon_H4e zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H59 zenon_Ha3 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.48  apply (zenon_L627_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.48  apply (zenon_L40_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.48  apply (zenon_L484_); trivial.
% 1.35/1.48  apply (zenon_L1203_); trivial.
% 1.35/1.48  apply (zenon_L408_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1204_ *)
% 1.35/1.48  assert (zenon_L1205_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H8f zenon_H96 zenon_H97 zenon_H158 zenon_H154 zenon_H255 zenon_H147 zenon_H139 zenon_H165 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_Ha3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H4e zenon_H1cd zenon_H13e zenon_H1ca zenon_H1d9 zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H105 zenon_H8d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H4b zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H62.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.48  apply (zenon_L1202_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.48  apply (zenon_L1204_); trivial.
% 1.35/1.48  apply (zenon_L1199_); trivial.
% 1.35/1.48  apply (zenon_L410_); trivial.
% 1.35/1.48  apply (zenon_L1185_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1205_ *)
% 1.35/1.48  assert (zenon_L1206_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H285 zenon_H19f zenon_Haf zenon_H1ed zenon_H201 zenon_H1a1 zenon_H270 zenon_H178 zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H6e zenon_H97 zenon_H8d zenon_H98 zenon_H7 zenon_H17 zenon_H95 zenon_H158 zenon_H267 zenon_H154 zenon_H257 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H1d9 zenon_H10e zenon_H1e0 zenon_H2cd zenon_H16f zenon_H1db zenon_H21c zenon_H147 zenon_H13e zenon_H217 zenon_Hca zenon_Hc6 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H107 zenon_H247 zenon_H1cd zenon_Ha3 zenon_H23a zenon_H105 zenon_H237 zenon_Hb7 zenon_H165 zenon_H1b9 zenon_H1c6 zenon_H1ca zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H286.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.48  apply (zenon_L1187_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.48  apply (zenon_L4_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.48  apply (zenon_L1190_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_L1193_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.48  apply (zenon_L384_); trivial.
% 1.35/1.48  apply (zenon_L1095_); trivial.
% 1.35/1.48  apply (zenon_L1167_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.48  apply (zenon_L1183_); trivial.
% 1.35/1.48  apply (zenon_L1195_); trivial.
% 1.35/1.48  apply (zenon_L410_); trivial.
% 1.35/1.48  apply (zenon_L1198_); trivial.
% 1.35/1.48  apply (zenon_L1200_); trivial.
% 1.35/1.48  apply (zenon_L411_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.48  apply (zenon_L1125_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.48  apply (zenon_L1190_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_L1193_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.48  apply (zenon_L586_); trivial.
% 1.35/1.48  apply (zenon_L1201_); trivial.
% 1.35/1.48  apply (zenon_L1167_); trivial.
% 1.35/1.48  apply (zenon_L1205_); trivial.
% 1.35/1.48  apply (zenon_L411_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1206_ *)
% 1.35/1.48  assert (zenon_L1207_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H162 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H107 zenon_H43 zenon_H20b zenon_H20a zenon_H209 zenon_H59 zenon_H18d zenon_H111.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.48  apply (zenon_L1136_); trivial.
% 1.35/1.48  apply (zenon_L168_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1207_ *)
% 1.35/1.48  assert (zenon_L1208_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.48  apply (zenon_L1093_); trivial.
% 1.35/1.48  apply (zenon_L1207_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1208_ *)
% 1.35/1.48  assert (zenon_L1209_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H18d zenon_H111 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1cd zenon_H5b zenon_H5e zenon_H62.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.48  apply (zenon_L1139_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.48  apply (zenon_L240_); trivial.
% 1.35/1.48  apply (zenon_L1208_); trivial.
% 1.35/1.48  apply (zenon_L25_); trivial.
% 1.35/1.48  apply (zenon_L28_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1209_ *)
% 1.35/1.48  assert (zenon_L1210_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H62 zenon_H21c zenon_H20b zenon_H20a zenon_H209 zenon_H1cd zenon_H111 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165 zenon_H15 zenon_H217 zenon_H1d9 zenon_H13e.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_L1094_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.48  apply (zenon_L1139_); trivial.
% 1.35/1.48  apply (zenon_L1096_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1210_ *)
% 1.35/1.48  assert (zenon_L1211_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H96 zenon_H4e zenon_H247 zenon_H7c zenon_H7e zenon_H158 zenon_H154 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H147 zenon_H139 zenon_H21c zenon_H62 zenon_H5e zenon_H1cd zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H111 zenon_H18d zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H165 zenon_H15 zenon_H217 zenon_H1d9 zenon_H13e zenon_H6e zenon_H97.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.48  apply (zenon_L1209_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_L1210_); trivial.
% 1.35/1.48  apply (zenon_L483_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1211_ *)
% 1.35/1.48  assert (zenon_L1212_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H92 zenon_H98 zenon_H105 zenon_H8d zenon_H97 zenon_H6e zenon_H13e zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H18d zenon_H111 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1cd zenon_H5e zenon_H62 zenon_H21c zenon_H139 zenon_H147 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H154 zenon_H158 zenon_H7e zenon_H247 zenon_H4e zenon_H96.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.48  apply (zenon_L1211_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.48  apply (zenon_L1209_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_L1210_); trivial.
% 1.35/1.48  apply (zenon_L1185_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1212_ *)
% 1.35/1.48  assert (zenon_L1213_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H111 zenon_H1b9 zenon_H18d zenon_H1ae zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H8d zenon_H10e zenon_H50 zenon_H51 zenon_H52 zenon_H21c zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.48  apply (zenon_L40_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.48  apply (zenon_L1143_); trivial.
% 1.35/1.48  apply (zenon_L241_); trivial.
% 1.35/1.48  apply (zenon_L214_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1213_ *)
% 1.35/1.48  assert (zenon_L1214_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H92 zenon_H98 zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_Ha3 zenon_H8d zenon_H1cb zenon_H105 zenon_H1ae zenon_H97 zenon_H6e zenon_H13e zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H18d zenon_H111 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1cd zenon_H5e zenon_H62 zenon_H21c zenon_H139 zenon_H147 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H154 zenon_H158 zenon_H7e zenon_H247 zenon_H4e zenon_H96.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.48  apply (zenon_L1211_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.48  apply (zenon_L1145_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.48  apply (zenon_L1092_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.48  apply (zenon_L240_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.48  apply (zenon_L12_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.48  apply (zenon_L1144_); trivial.
% 1.35/1.48  apply (zenon_L214_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.48  apply (zenon_L303_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.48  apply (zenon_L240_); trivial.
% 1.35/1.48  apply (zenon_L1213_); trivial.
% 1.35/1.48  apply (zenon_L1185_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1214_ *)
% 1.35/1.48  assert (zenon_L1215_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H4b zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H187 zenon_H189 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H107 zenon_H43 zenon_H190 zenon_H191 zenon_H1e8 zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_Hca zenon_H111.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.48  apply (zenon_L1158_); trivial.
% 1.35/1.48  apply (zenon_L382_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1215_ *)
% 1.35/1.48  assert (zenon_L1216_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H1cd zenon_H4b zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H189 zenon_H10e zenon_H1e0 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H107 zenon_H43 zenon_H190 zenon_H191 zenon_H1e8 zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_Hca zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.48  apply (zenon_L1215_); trivial.
% 1.35/1.48  apply (zenon_L168_); trivial.
% 1.35/1.48  apply (zenon_L1192_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1216_ *)
% 1.35/1.48  assert (zenon_L1217_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H96 zenon_H4e zenon_H247 zenon_H7e zenon_H21c zenon_H62 zenon_H5e zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H117 zenon_H18d zenon_H12a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1e0 zenon_H10e zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H4b zenon_H1cd zenon_Hb7 zenon_H1 zenon_Haf zenon_H154 zenon_H97.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_L1216_); trivial.
% 1.35/1.48  apply (zenon_L25_); trivial.
% 1.35/1.48  apply (zenon_L1163_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_L1216_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.48  apply (zenon_L1215_); trivial.
% 1.35/1.48  apply (zenon_L1165_); trivial.
% 1.35/1.48  apply (zenon_L1201_); trivial.
% 1.35/1.48  apply (zenon_L1167_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1217_ *)
% 1.35/1.48  assert (zenon_L1218_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_Hca zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H189 zenon_H187 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H4b.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.48  apply (zenon_L1170_); trivial.
% 1.35/1.48  apply (zenon_L382_); trivial.
% 1.35/1.48  apply (zenon_L168_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1218_ *)
% 1.35/1.48  assert (zenon_L1219_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H62 zenon_H1ae zenon_H1cd zenon_H165 zenon_H1b9 zenon_H1c6 zenon_H4b zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H189 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H105 zenon_H20b zenon_H20a zenon_H209 zenon_Hca zenon_H111 zenon_H1d9 zenon_H1ca zenon_H13e.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.48  apply (zenon_L1218_); trivial.
% 1.35/1.48  apply (zenon_L1138_); trivial.
% 1.35/1.48  apply (zenon_L1199_); trivial.
% 1.35/1.48  apply (zenon_L410_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1219_ *)
% 1.35/1.48  assert (zenon_L1220_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H178 zenon_H7 zenon_H5 zenon_H96 zenon_H4e zenon_H247 zenon_H7e zenon_H21c zenon_H62 zenon_H5e zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H117 zenon_H18d zenon_H12a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H1e0 zenon_H10e zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H4b zenon_H1cd zenon_Hb7 zenon_Haf zenon_H154 zenon_H97 zenon_H1cb zenon_H27 zenon_H158 zenon_H126 zenon_H255 zenon_H13a zenon_H13e zenon_H105 zenon_H1ed zenon_H8d zenon_H201 zenon_H1c6 zenon_H1b9 zenon_H165 zenon_H1ae zenon_H147 zenon_H139 zenon_H98 zenon_H95.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.48  apply (zenon_L4_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.48  apply (zenon_L1217_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_L1219_); trivial.
% 1.35/1.48  apply (zenon_L1198_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_L1219_); trivial.
% 1.35/1.48  apply (zenon_L1114_); trivial.
% 1.35/1.48  apply (zenon_L411_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1220_ *)
% 1.35/1.48  assert (zenon_L1221_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H62 zenon_H209 zenon_H20a zenon_H20b zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H1cd zenon_H4e zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H59 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165 zenon_H15 zenon_H217 zenon_H7e zenon_H7c zenon_H1d9 zenon_H13e.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_L1133_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.48  apply (zenon_L1078_); trivial.
% 1.35/1.48  apply (zenon_L537_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1221_ *)
% 1.35/1.48  assert (zenon_L1222_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H98 zenon_H139 zenon_H237 zenon_H105 zenon_H23a zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H1c6 zenon_H126 zenon_H7e zenon_H247 zenon_H3 zenon_H46 zenon_H96.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.48  apply (zenon_L1131_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_L1221_); trivial.
% 1.35/1.48  apply (zenon_L271_); trivial.
% 1.35/1.48  apply (zenon_L1080_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1222_ *)
% 1.35/1.48  assert (zenon_L1223_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp30)) -> (ndr1_0) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp23)) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H19f zenon_H20b zenon_H20a zenon_H209 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H115 zenon_Ha zenon_Hba zenon_Hbb zenon_Hbc zenon_H190 zenon_H191 zenon_H19d zenon_H123.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.35/1.48  apply (zenon_L1140_); trivial.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.35/1.48  apply (zenon_L133_); trivial.
% 1.35/1.48  exact (zenon_H123 zenon_H124).
% 1.35/1.48  (* end of lemma zenon_L1223_ *)
% 1.35/1.48  assert (zenon_L1224_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H18d zenon_H59 zenon_Hf1 zenon_He2 zenon_He1 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H19d zenon_H191 zenon_H190 zenon_H123 zenon_H19f.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.35/1.48  apply (zenon_L1223_); trivial.
% 1.35/1.48  apply (zenon_L129_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1224_ *)
% 1.35/1.48  assert (zenon_L1225_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H10d zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H35 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.35/1.48  apply (zenon_L130_); trivial.
% 1.35/1.48  apply (zenon_L1224_); trivial.
% 1.35/1.48  apply (zenon_L126_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1225_ *)
% 1.35/1.48  assert (zenon_L1226_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H145 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.35/1.48  apply (zenon_L192_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.35/1.48  apply (zenon_L556_); trivial.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.35/1.48  apply (zenon_L1086_); trivial.
% 1.35/1.48  exact (zenon_Hed zenon_Hee).
% 1.35/1.48  apply (zenon_L177_); trivial.
% 1.35/1.48  apply (zenon_L126_); trivial.
% 1.35/1.48  apply (zenon_L1225_); trivial.
% 1.35/1.48  apply (zenon_L167_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1226_ *)
% 1.35/1.48  assert (zenon_L1227_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H4a zenon_H165 zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H7c zenon_H1a1 zenon_H1ca.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.48  apply (zenon_L1226_); trivial.
% 1.35/1.48  apply (zenon_L1165_); trivial.
% 1.35/1.48  apply (zenon_L214_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1227_ *)
% 1.35/1.48  assert (zenon_L1228_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H80 zenon_H97 zenon_H154 zenon_H247 zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H117 zenon_H18d zenon_H12a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H13f zenon_H141 zenon_H4b zenon_H4e zenon_H165 zenon_H1b9 zenon_H13a zenon_H189 zenon_H1ed zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H21c zenon_H201 zenon_H1cb zenon_H7e zenon_H1cd zenon_H62.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.48  apply (zenon_L1160_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.48  apply (zenon_L31_); trivial.
% 1.35/1.48  apply (zenon_L1227_); trivial.
% 1.35/1.48  apply (zenon_L1095_); trivial.
% 1.35/1.48  apply (zenon_L1167_); trivial.
% 1.35/1.48  (* end of lemma zenon_L1228_ *)
% 1.35/1.48  assert (zenon_L1229_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.35/1.48  do 0 intro. intros zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H123 zenon_H19f zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.35/1.48  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.35/1.48  apply (zenon_L192_); trivial.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.35/1.48  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.35/1.49  apply (zenon_L547_); trivial.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.35/1.49  apply (zenon_L1086_); trivial.
% 1.35/1.49  exact (zenon_Hed zenon_Hee).
% 1.35/1.49  apply (zenon_L177_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1229_ *)
% 1.35/1.49  assert (zenon_L1230_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H145 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.49  apply (zenon_L1229_); trivial.
% 1.35/1.49  apply (zenon_L126_); trivial.
% 1.35/1.49  apply (zenon_L1225_); trivial.
% 1.35/1.49  apply (zenon_L167_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1230_ *)
% 1.35/1.49  assert (zenon_L1231_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H4a zenon_H165 zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H50 zenon_H51 zenon_H52 zenon_H107 zenon_H43 zenon_H7c zenon_H1a1 zenon_H3 zenon_H46 zenon_H1ca.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.49  apply (zenon_L1230_); trivial.
% 1.35/1.49  apply (zenon_L1178_); trivial.
% 1.35/1.49  apply (zenon_L232_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1231_ *)
% 1.35/1.49  assert (zenon_L1232_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c1_1 (a2402))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (c0_1 (a2450)) -> (c1_1 (a2450)) -> (c3_1 (a2450)) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H1cb zenon_H2c3 zenon_H72 zenon_H2c1 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H11a zenon_H11b zenon_H11c.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ].
% 1.35/1.49  apply (zenon_L1073_); trivial.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ].
% 1.35/1.49  apply (zenon_L13_); trivial.
% 1.35/1.49  apply (zenon_L76_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1232_ *)
% 1.35/1.49  assert (zenon_L1233_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c3_1 (a2484))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6)))))) -> (~(hskp20)) -> False).
% 1.35/1.49  do 0 intro. intros zenon_Hd9 zenon_Hba zenon_Hbc zenon_Hbb zenon_Ha zenon_H199 zenon_Hd7.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ].
% 1.35/1.49  generalize (zenon_H199 (a2484)). zenon_intro zenon_H2d2.
% 1.35/1.49  apply (zenon_imply_s _ _ zenon_H2d2); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d3 ].
% 1.35/1.49  exact (zenon_H9 zenon_Ha).
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H179 | zenon_intro zenon_H2d4 ].
% 1.35/1.49  apply (zenon_L120_); trivial.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc1 ].
% 1.35/1.49  exact (zenon_Hba zenon_Hc0).
% 1.35/1.49  exact (zenon_Hc1 zenon_Hbc).
% 1.35/1.49  apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ].
% 1.35/1.49  generalize (zenon_H199 (a2484)). zenon_intro zenon_H2d2.
% 1.35/1.49  apply (zenon_imply_s _ _ zenon_H2d2); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d3 ].
% 1.35/1.49  exact (zenon_H9 zenon_Ha).
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H179 | zenon_intro zenon_H2d4 ].
% 1.35/1.49  apply (zenon_L121_); trivial.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc1 ].
% 1.35/1.49  exact (zenon_Hba zenon_Hc0).
% 1.35/1.49  exact (zenon_Hc1 zenon_Hbc).
% 1.35/1.49  exact (zenon_Hd7 zenon_Hd8).
% 1.35/1.49  (* end of lemma zenon_L1233_ *)
% 1.35/1.49  assert (zenon_L1234_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp23)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c3_1 (a2484))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(hskp20)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp1)) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H125 zenon_H107 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H123 zenon_Hd9 zenon_Hba zenon_Hbc zenon_Hbb zenon_Hd7 zenon_H2c1 zenon_H2c3 zenon_H19f zenon_H43.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 1.35/1.49  apply (zenon_L1232_); trivial.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.35/1.49  apply (zenon_L1073_); trivial.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.35/1.49  apply (zenon_L1233_); trivial.
% 1.35/1.49  exact (zenon_H123 zenon_H124).
% 1.35/1.49  exact (zenon_H43 zenon_H44).
% 1.35/1.49  (* end of lemma zenon_L1234_ *)
% 1.35/1.49  assert (zenon_L1235_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_Hca zenon_H12a zenon_H107 zenon_H43 zenon_Hd9 zenon_Hd7 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H19d zenon_H191 zenon_H190 zenon_H123 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.35/1.49  apply (zenon_L48_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.35/1.49  apply (zenon_L1223_); trivial.
% 1.35/1.49  apply (zenon_L1234_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1235_ *)
% 1.35/1.49  assert (zenon_L1236_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H107 zenon_H43 zenon_Hd9 zenon_Hd7 zenon_H123 zenon_H19f zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.35/1.49  apply (zenon_L140_); trivial.
% 1.35/1.49  apply (zenon_L1234_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1236_ *)
% 1.35/1.49  assert (zenon_L1237_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H21c zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.49  apply (zenon_L31_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.49  apply (zenon_L1230_); trivial.
% 1.35/1.49  apply (zenon_L168_); trivial.
% 1.35/1.49  apply (zenon_L214_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1237_ *)
% 1.35/1.49  assert (zenon_L1238_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_H201 zenon_H10e zenon_H1e0 zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H1ae zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c zenon_H2b zenon_H2a zenon_H43 zenon_H107 zenon_H145 zenon_H1b9 zenon_H13a zenon_H4b.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.49  apply (zenon_L1229_); trivial.
% 1.35/1.49  apply (zenon_L1076_); trivial.
% 1.35/1.49  apply (zenon_L147_); trivial.
% 1.35/1.49  apply (zenon_L148_); trivial.
% 1.35/1.49  apply (zenon_L168_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1238_ *)
% 1.35/1.49  assert (zenon_L1239_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H1ae zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H1ca zenon_H46 zenon_H3 zenon_H1a1 zenon_H7c zenon_H43 zenon_H107 zenon_H111 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_H201 zenon_H10e zenon_H1e0 zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H189 zenon_H13a zenon_H1b9 zenon_H4b zenon_H165 zenon_H4e.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.49  apply (zenon_L40_); trivial.
% 1.35/1.49  apply (zenon_L1231_); trivial.
% 1.35/1.49  apply (zenon_L535_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1239_ *)
% 1.35/1.49  assert (zenon_L1240_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H201 zenon_H10e zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H43 zenon_H107 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.35/1.49  apply (zenon_L192_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.49  apply (zenon_L1104_); trivial.
% 1.35/1.49  apply (zenon_L1141_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1240_ *)
% 1.35/1.49  assert (zenon_L1241_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H4e zenon_H165 zenon_H1b9 zenon_H187 zenon_H189 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H46 zenon_H3 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H43 zenon_H107 zenon_H25 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.49  apply (zenon_L1123_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.49  apply (zenon_L1240_); trivial.
% 1.35/1.49  apply (zenon_L167_); trivial.
% 1.35/1.49  apply (zenon_L168_); trivial.
% 1.35/1.49  apply (zenon_L232_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1241_ *)
% 1.35/1.49  assert (zenon_L1242_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H247 zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H4b zenon_H46 zenon_H3 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H43 zenon_H107 zenon_H25 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.49  apply (zenon_L1123_); trivial.
% 1.35/1.49  apply (zenon_L268_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1242_ *)
% 1.35/1.49  assert (zenon_L1243_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H8f zenon_H96 zenon_H97 zenon_H139 zenon_H247 zenon_H19d zenon_H165 zenon_H1b9 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H1c6 zenon_Ha3 zenon_H18d zenon_H1ae zenon_H1cd zenon_H13e zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H46 zenon_H3 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_H43 zenon_H107 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H62.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.49  apply (zenon_L52_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.49  apply (zenon_L1123_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.49  apply (zenon_L1240_); trivial.
% 1.35/1.49  apply (zenon_L19_); trivial.
% 1.35/1.49  apply (zenon_L35_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.49  apply (zenon_L1078_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.49  apply (zenon_L1241_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.49  apply (zenon_L1123_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.49  apply (zenon_L1240_); trivial.
% 1.35/1.49  apply (zenon_L148_); trivial.
% 1.35/1.49  apply (zenon_L168_); trivial.
% 1.35/1.49  apply (zenon_L293_); trivial.
% 1.35/1.49  apply (zenon_L35_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.49  apply (zenon_L83_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.49  apply (zenon_L1241_); trivial.
% 1.35/1.49  apply (zenon_L1242_); trivial.
% 1.35/1.49  apply (zenon_L35_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1243_ *)
% 1.35/1.49  assert (zenon_L1244_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H8f zenon_H96 zenon_H97 zenon_H139 zenon_H147 zenon_H154 zenon_H158 zenon_H1cd zenon_H1c6 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H1b9 zenon_H18d zenon_H165 zenon_Ha3 zenon_H13e zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_H43 zenon_H107 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H62.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.49  apply (zenon_L52_); trivial.
% 1.35/1.49  apply (zenon_L1173_); trivial.
% 1.35/1.49  apply (zenon_L115_); trivial.
% 1.35/1.49  apply (zenon_L1148_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1244_ *)
% 1.35/1.49  assert (zenon_L1245_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H92 zenon_H98 zenon_H4b zenon_H141 zenon_H13f zenon_H8d zenon_H97 zenon_H16f zenon_H2cd zenon_H2ab zenon_H154 zenon_H10e zenon_Haf zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H190 zenon_H191 zenon_H1e8 zenon_H1a1 zenon_H21c zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H247 zenon_H96.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.49  apply (zenon_L1180_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.49  apply (zenon_L236_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.49  apply (zenon_L40_); trivial.
% 1.35/1.49  apply (zenon_L1181_); trivial.
% 1.35/1.49  apply (zenon_L1167_); trivial.
% 1.35/1.49  apply (zenon_L347_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1245_ *)
% 1.35/1.49  assert (zenon_L1246_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H247 zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.49  apply (zenon_L12_); trivial.
% 1.35/1.49  apply (zenon_L268_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1246_ *)
% 1.35/1.49  assert (zenon_L1247_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H247 zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H217 zenon_H15 zenon_H189 zenon_H13a.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.49  apply (zenon_L240_); trivial.
% 1.35/1.49  apply (zenon_L1246_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1247_ *)
% 1.35/1.49  assert (zenon_L1248_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H247 zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H1cd zenon_H4e zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H107 zenon_H165 zenon_H237 zenon_H8d zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H15 zenon_H217 zenon_H46 zenon_H13e.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.49  apply (zenon_L1079_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.49  apply (zenon_L281_); trivial.
% 1.35/1.49  apply (zenon_L1246_); trivial.
% 1.35/1.49  apply (zenon_L1247_); trivial.
% 1.35/1.49  apply (zenon_L35_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1248_ *)
% 1.35/1.49  assert (zenon_L1249_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H8f zenon_H96 zenon_H247 zenon_Ha3 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H1b9 zenon_H107 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H1c6 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H237 zenon_H8d zenon_H105 zenon_H23a zenon_H15 zenon_H217 zenon_H13e zenon_H6e zenon_H97.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.49  apply (zenon_L1151_); trivial.
% 1.35/1.49  apply (zenon_L275_); trivial.
% 1.35/1.49  apply (zenon_L25_); trivial.
% 1.35/1.49  apply (zenon_L28_); trivial.
% 1.35/1.49  apply (zenon_L1248_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1249_ *)
% 1.35/1.49  assert (zenon_L1250_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H107 zenon_H43 zenon_Hd9 zenon_Hd7 zenon_H123 zenon_H19f zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.35/1.49  apply (zenon_L350_); trivial.
% 1.35/1.49  apply (zenon_L1234_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1250_ *)
% 1.35/1.49  assert (zenon_L1251_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_Hca zenon_H12a zenon_H107 zenon_H43 zenon_Hd9 zenon_Hd7 zenon_H123 zenon_H19f zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255 zenon_H1 zenon_H5b zenon_Hb7.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.35/1.49  apply (zenon_L48_); trivial.
% 1.35/1.49  apply (zenon_L1250_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1251_ *)
% 1.35/1.49  assert (zenon_L1252_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H4a zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H187 zenon_H189 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H8d zenon_H10e.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.49  apply (zenon_L1142_); trivial.
% 1.35/1.49  apply (zenon_L382_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1252_ *)
% 1.35/1.49  assert (zenon_L1253_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H2a zenon_H2b zenon_H2c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H35 zenon_H8d zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.49  apply (zenon_L1087_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ].
% 1.35/1.49  apply (zenon_L1074_); trivial.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ].
% 1.35/1.49  apply (zenon_L67_); trivial.
% 1.35/1.49  exact (zenon_H43 zenon_H44).
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ].
% 1.35/1.49  apply (zenon_L33_); trivial.
% 1.35/1.49  exact (zenon_H35 zenon_H36).
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.35/1.49  apply (zenon_L349_); trivial.
% 1.35/1.49  apply (zenon_L191_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1253_ *)
% 1.35/1.49  assert (zenon_L1254_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H92 zenon_H98 zenon_H158 zenon_H255 zenon_H147 zenon_H139 zenon_H165 zenon_H1ae zenon_H1cb zenon_Ha3 zenon_H13a zenon_H126 zenon_H13e zenon_H105 zenon_H8d zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_H97 zenon_H154 zenon_Haf zenon_H1 zenon_Hb7 zenon_H1cd zenon_H4b zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H189 zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H12a zenon_H18d zenon_H117 zenon_H107 zenon_H43 zenon_H190 zenon_H191 zenon_H1e8 zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_Hca zenon_H111 zenon_H1d9 zenon_H1ca zenon_H5e zenon_H62 zenon_H21c zenon_H7e zenon_H247 zenon_H4e zenon_H96.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.49  apply (zenon_L1217_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.49  apply (zenon_L1202_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.49  apply (zenon_L1204_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.49  apply (zenon_L40_); trivial.
% 1.35/1.49  apply (zenon_L1252_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.49  apply (zenon_L40_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.49  apply (zenon_L1253_); trivial.
% 1.35/1.49  apply (zenon_L409_); trivial.
% 1.35/1.49  apply (zenon_L1185_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1254_ *)
% 1.35/1.49  assert (zenon_L1255_ : ((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H1fd zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H8d zenon_H35 zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.35/1.49  apply (zenon_L435_); trivial.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.35/1.49  apply (zenon_L1086_); trivial.
% 1.35/1.49  exact (zenon_Hed zenon_Hee).
% 1.35/1.49  apply (zenon_L177_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1255_ *)
% 1.35/1.49  assert (zenon_L1256_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.35/1.49  apply (zenon_L192_); trivial.
% 1.35/1.49  apply (zenon_L1255_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1256_ *)
% 1.35/1.49  assert (zenon_L1257_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H13b zenon_H201 zenon_H141 zenon_H13f zenon_H107 zenon_H43 zenon_Hf1 zenon_He2 zenon_He1 zenon_H23 zenon_H25 zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.35/1.49  apply (zenon_L192_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ].
% 1.35/1.49  apply (zenon_L194_); trivial.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ].
% 1.35/1.49  apply (zenon_L162_); trivial.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ].
% 1.35/1.49  exact (zenon_H23 zenon_H24).
% 1.35/1.49  exact (zenon_H25 zenon_H26).
% 1.35/1.49  exact (zenon_H13f zenon_H140).
% 1.35/1.49  (* end of lemma zenon_L1257_ *)
% 1.35/1.49  assert (zenon_L1258_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H111 zenon_H13a zenon_H141 zenon_H13f zenon_H107 zenon_H43 zenon_H23 zenon_H25 zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_Hc zenon_Hd zenon_He zenon_H4b.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.49  apply (zenon_L1256_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.49  apply (zenon_L141_); trivial.
% 1.35/1.49  apply (zenon_L1257_); trivial.
% 1.35/1.49  apply (zenon_L86_); trivial.
% 1.35/1.49  apply (zenon_L168_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1258_ *)
% 1.35/1.49  assert (zenon_L1259_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H33 zenon_H37 zenon_H4b zenon_He zenon_Hd zenon_Hc zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H86 zenon_H85 zenon_H84 zenon_H27 zenon_H25 zenon_H43 zenon_H107 zenon_H13f zenon_H141 zenon_H13a zenon_H111 zenon_H1d9 zenon_H1ca.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.49  apply (zenon_L1258_); trivial.
% 1.35/1.49  apply (zenon_L87_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1259_ *)
% 1.35/1.49  assert (zenon_L1260_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H5d zenon_H13e zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H21c zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H4e zenon_H1cd.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.49  apply (zenon_L1078_); trivial.
% 1.35/1.49  apply (zenon_L448_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1260_ *)
% 1.35/1.49  assert (zenon_L1261_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H98 zenon_H139 zenon_H237 zenon_H105 zenon_H23a zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H21c zenon_H1c6 zenon_H126 zenon_H7e zenon_H247 zenon_H3 zenon_H46 zenon_H96.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.49  apply (zenon_L1131_); trivial.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.49  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.49  apply (zenon_L1133_); trivial.
% 1.35/1.49  apply (zenon_L1260_); trivial.
% 1.35/1.49  apply (zenon_L271_); trivial.
% 1.35/1.49  apply (zenon_L1080_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1261_ *)
% 1.35/1.49  assert (zenon_L1262_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False).
% 1.35/1.49  do 0 intro. intros zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19f zenon_H19d zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201.
% 1.35/1.49  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.49  apply (zenon_L1256_); trivial.
% 1.35/1.49  apply (zenon_L1225_); trivial.
% 1.35/1.49  (* end of lemma zenon_L1262_ *)
% 1.35/1.49  assert (zenon_L1263_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19f zenon_H19d zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H145 zenon_H1b9 zenon_H4b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.50  apply (zenon_L1262_); trivial.
% 1.35/1.50  apply (zenon_L167_); trivial.
% 1.35/1.50  apply (zenon_L168_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1263_ *)
% 1.35/1.50  assert (zenon_L1264_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H4a zenon_H165 zenon_Hc zenon_Hd zenon_He zenon_H107 zenon_H4b zenon_H1b9 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H19f zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.50  apply (zenon_L1263_); trivial.
% 1.35/1.50  apply (zenon_L1207_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1264_ *)
% 1.35/1.50  assert (zenon_L1265_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H1cd zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19f zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1b9 zenon_H4b zenon_H107 zenon_He zenon_Hd zenon_Hc zenon_H165 zenon_H4e.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L31_); trivial.
% 1.35/1.50  apply (zenon_L1264_); trivial.
% 1.35/1.50  apply (zenon_L1208_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1265_ *)
% 1.35/1.50  assert (zenon_L1266_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (ndr1_0) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_Ha zenon_H50 zenon_H51 zenon_H52 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H35 zenon_H8d.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.50  apply (zenon_L445_); trivial.
% 1.35/1.50  apply (zenon_L1225_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1266_ *)
% 1.35/1.50  assert (zenon_L1267_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2410)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H4a zenon_H165 zenon_H4b zenon_H1b9 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H16f zenon_H2cd zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H1e8 zenon_H7c zenon_H1a1 zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H10e zenon_H1ca.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.50  apply (zenon_L1266_); trivial.
% 1.35/1.50  apply (zenon_L167_); trivial.
% 1.35/1.50  apply (zenon_L1165_); trivial.
% 1.35/1.50  apply (zenon_L232_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1267_ *)
% 1.35/1.50  assert (zenon_L1268_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H80 zenon_H97 zenon_H154 zenon_H247 zenon_H1cd zenon_H7e zenon_H7c zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H19f zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1b9 zenon_H4b zenon_H107 zenon_He zenon_Hd zenon_Hc zenon_H165 zenon_H4e zenon_H1a1 zenon_H21c zenon_H62.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_L1265_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L31_); trivial.
% 1.35/1.50  apply (zenon_L1267_); trivial.
% 1.35/1.50  apply (zenon_L1095_); trivial.
% 1.35/1.50  apply (zenon_L1167_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1268_ *)
% 1.35/1.50  assert (zenon_L1269_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H4a zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.50  apply (zenon_L1266_); trivial.
% 1.35/1.50  apply (zenon_L19_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1269_ *)
% 1.35/1.50  assert (zenon_L1270_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H19f zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.50  apply (zenon_L1263_); trivial.
% 1.35/1.50  apply (zenon_L232_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1270_ *)
% 1.35/1.50  assert (zenon_L1271_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H4b zenon_H1ae zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H18d zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L40_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.50  apply (zenon_L1256_); trivial.
% 1.35/1.50  apply (zenon_L147_); trivial.
% 1.35/1.50  apply (zenon_L148_); trivial.
% 1.35/1.50  apply (zenon_L168_); trivial.
% 1.35/1.50  apply (zenon_L293_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1271_ *)
% 1.35/1.50  assert (zenon_L1272_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L40_); trivial.
% 1.35/1.50  apply (zenon_L1269_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1272_ *)
% 1.35/1.50  assert (zenon_L1273_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H165 zenon_H107 zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_L1272_); trivial.
% 1.35/1.50  apply (zenon_L447_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1273_ *)
% 1.35/1.50  assert (zenon_L1274_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H80 zenon_H97 zenon_H154 zenon_H1a1 zenon_H247 zenon_H107 zenon_H1cd zenon_H1ca zenon_H1d9 zenon_H43 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H111 zenon_H7e zenon_H7c zenon_H37 zenon_H33 zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b zenon_H4e zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H62.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_L1193_); trivial.
% 1.35/1.50  apply (zenon_L496_); trivial.
% 1.35/1.50  apply (zenon_L1167_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1274_ *)
% 1.35/1.50  assert (zenon_L1275_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp7)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp7))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H13b zenon_H270 zenon_H5 zenon_H274 zenon_H275 zenon_H276 zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_H43 zenon_H2d5 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H39 | zenon_intro zenon_H2d6 ].
% 1.35/1.50  apply (zenon_L162_); trivial.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hdc | zenon_intro zenon_H6 ].
% 1.35/1.50  apply (zenon_L423_); trivial.
% 1.35/1.50  exact (zenon_H5 zenon_H6).
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ].
% 1.35/1.50  apply (zenon_L349_); trivial.
% 1.35/1.50  apply (zenon_L191_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1275_ *)
% 1.35/1.50  assert (zenon_L1276_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp7))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H1ce zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H13a zenon_H107 zenon_H43 zenon_H274 zenon_H275 zenon_H276 zenon_H5 zenon_H2d5 zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_Hb7 zenon_H5b zenon_H1 zenon_H105 zenon_Hca zenon_H4b.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.50  apply (zenon_L1106_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.50  apply (zenon_L484_); trivial.
% 1.35/1.50  apply (zenon_L1275_); trivial.
% 1.35/1.50  apply (zenon_L389_); trivial.
% 1.35/1.50  apply (zenon_L168_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1276_ *)
% 1.35/1.50  assert (zenon_L1277_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H1ce zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H59 zenon_H18d zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1ae zenon_H4b.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.50  apply (zenon_L1256_); trivial.
% 1.35/1.50  apply (zenon_L408_); trivial.
% 1.35/1.50  apply (zenon_L409_); trivial.
% 1.35/1.50  apply (zenon_L168_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1277_ *)
% 1.35/1.50  assert (zenon_L1278_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H1cd zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H18d zenon_H1ed zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1ae zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b zenon_H4e.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_L586_); trivial.
% 1.35/1.50  apply (zenon_L1277_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1278_ *)
% 1.35/1.50  assert (zenon_L1279_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H62 zenon_H5e zenon_H5b zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H189 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H1ae zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H1ed zenon_H18d zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H1cd.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_L1278_); trivial.
% 1.35/1.50  apply (zenon_L25_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1279_ *)
% 1.35/1.50  assert (zenon_L1280_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H112 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H105 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H3 zenon_H46 zenon_H4b.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.50  apply (zenon_L1106_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.35/1.50  apply (zenon_L192_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.50  apply (zenon_L1104_); trivial.
% 1.35/1.50  apply (zenon_L583_); trivial.
% 1.35/1.50  apply (zenon_L19_); trivial.
% 1.35/1.50  apply (zenon_L168_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1280_ *)
% 1.35/1.50  assert (zenon_L1281_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H8f zenon_H96 zenon_H97 zenon_H165 zenon_H158 zenon_H154 zenon_H255 zenon_H147 zenon_H139 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_Ha3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H4e zenon_H1cd zenon_H13e zenon_H1ca zenon_H1d9 zenon_H111 zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H105 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H3 zenon_H46 zenon_H4b zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H62.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.50  apply (zenon_L52_); trivial.
% 1.35/1.50  apply (zenon_L1280_); trivial.
% 1.35/1.50  apply (zenon_L405_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.50  apply (zenon_L1204_); trivial.
% 1.35/1.50  apply (zenon_L1280_); trivial.
% 1.35/1.50  apply (zenon_L410_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.50  apply (zenon_L582_); trivial.
% 1.35/1.50  apply (zenon_L1280_); trivial.
% 1.35/1.50  apply (zenon_L35_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1281_ *)
% 1.35/1.50  assert (zenon_L1282_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H62 zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H4b zenon_H1ae zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cd.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_L1218_); trivial.
% 1.35/1.50  apply (zenon_L1277_); trivial.
% 1.35/1.50  apply (zenon_L410_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1282_ *)
% 1.35/1.50  assert (zenon_L1283_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H1ca zenon_H1d9 zenon_H111 zenon_H274 zenon_H275 zenon_H276 zenon_H5 zenon_H2d5 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H1e0 zenon_H10e zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H105 zenon_H270 zenon_Hca zenon_H4b zenon_Hc zenon_Hd zenon_He zenon_H13e.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_L498_); trivial.
% 1.35/1.50  apply (zenon_L1276_); trivial.
% 1.35/1.50  apply (zenon_L1195_); trivial.
% 1.35/1.50  apply (zenon_L405_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1283_ *)
% 1.35/1.50  assert (zenon_L1284_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H4a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19f zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H4b.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.50  apply (zenon_L1262_); trivial.
% 1.35/1.50  apply (zenon_L382_); trivial.
% 1.35/1.50  apply (zenon_L168_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1284_ *)
% 1.35/1.50  assert (zenon_L1285_ : ((ndr1_0)/\((c0_1 (a2405))/\((c2_1 (a2405))/\(~(c3_1 (a2405)))))) -> ((~(hskp4))\/((ndr1_0)/\((c0_1 (a2407))/\((~(c1_1 (a2407)))/\(~(c2_1 (a2407))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp7))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> ((~(hskp5))\/((ndr1_0)/\((c0_1 (a2408))/\((c3_1 (a2408))/\(~(c2_1 (a2408))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H2d7 zenon_H2d8 zenon_H255 zenon_H257 zenon_H267 zenon_H270 zenon_H2d5 zenon_H285 zenon_H1a3 zenon_H19d zenon_H1db zenon_H1a1 zenon_H201 zenon_Hd9 zenon_H1ed zenon_H2ab zenon_H19f zenon_H178 zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H6e zenon_H97 zenon_H8d zenon_H98 zenon_H7 zenon_H17 zenon_H95 zenon_H147 zenon_H154 zenon_H158 zenon_H1d9 zenon_H10e zenon_H1e0 zenon_H2cd zenon_H16f zenon_H21c zenon_H141 zenon_Haf zenon_H13e zenon_H217 zenon_Hca zenon_Hc6 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H107 zenon_H247 zenon_H1cd zenon_Ha3 zenon_H23a zenon_H105 zenon_H237 zenon_Hb7 zenon_H165 zenon_H1b9 zenon_H1c6 zenon_H1ca zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H286 zenon_H2d9.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_Ha. zenon_intro zenon_H2da.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H275. zenon_intro zenon_H2db.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H276. zenon_intro zenon_H274.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.50  apply (zenon_L1101_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_L4_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.50  apply (zenon_L1256_); trivial.
% 1.35/1.50  apply (zenon_L1103_); trivial.
% 1.35/1.50  apply (zenon_L86_); trivial.
% 1.35/1.50  apply (zenon_L168_); trivial.
% 1.35/1.50  apply (zenon_L87_); trivial.
% 1.35/1.50  apply (zenon_L25_); trivial.
% 1.35/1.50  apply (zenon_L1163_); trivial.
% 1.35/1.50  apply (zenon_L114_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.50  apply (zenon_L1256_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.35/1.50  apply (zenon_L192_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.35/1.50  apply (zenon_L79_); trivial.
% 1.35/1.50  apply (zenon_L1107_); trivial.
% 1.35/1.50  apply (zenon_L126_); trivial.
% 1.35/1.50  apply (zenon_L86_); trivial.
% 1.35/1.50  apply (zenon_L168_); trivial.
% 1.35/1.50  apply (zenon_L87_); trivial.
% 1.35/1.50  apply (zenon_L1259_); trivial.
% 1.35/1.50  apply (zenon_L1112_); trivial.
% 1.35/1.50  apply (zenon_L25_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_L1172_); trivial.
% 1.35/1.50  apply (zenon_L1259_); trivial.
% 1.35/1.50  apply (zenon_L1112_); trivial.
% 1.35/1.50  apply (zenon_L115_); trivial.
% 1.35/1.50  apply (zenon_L1115_); trivial.
% 1.35/1.50  apply (zenon_L1119_); trivial.
% 1.35/1.50  apply (zenon_L1126_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.50  apply (zenon_L453_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_L1261_); trivial.
% 1.35/1.50  apply (zenon_L1150_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_L452_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_L450_); trivial.
% 1.35/1.50  apply (zenon_L347_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_L4_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_L1164_); trivial.
% 1.35/1.50  apply (zenon_L1268_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_L1171_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_L1172_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L1258_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.50  apply (zenon_L1256_); trivial.
% 1.35/1.50  apply (zenon_L178_); trivial.
% 1.35/1.50  apply (zenon_L86_); trivial.
% 1.35/1.50  apply (zenon_L150_); trivial.
% 1.35/1.50  apply (zenon_L232_); trivial.
% 1.35/1.50  apply (zenon_L1173_); trivial.
% 1.35/1.50  apply (zenon_L115_); trivial.
% 1.35/1.50  apply (zenon_L1174_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_L1176_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_L236_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L31_); trivial.
% 1.35/1.50  apply (zenon_L1269_); trivial.
% 1.35/1.50  apply (zenon_L447_); trivial.
% 1.35/1.50  apply (zenon_L478_); trivial.
% 1.35/1.50  apply (zenon_L247_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_L1180_); trivial.
% 1.35/1.50  apply (zenon_L1268_); trivial.
% 1.35/1.50  apply (zenon_L347_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L40_); trivial.
% 1.35/1.50  apply (zenon_L1270_); trivial.
% 1.35/1.50  apply (zenon_L1271_); trivial.
% 1.35/1.50  apply (zenon_L25_); trivial.
% 1.35/1.50  apply (zenon_L1122_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L31_); trivial.
% 1.35/1.50  apply (zenon_L1270_); trivial.
% 1.35/1.50  apply (zenon_L1271_); trivial.
% 1.35/1.50  apply (zenon_L1273_); trivial.
% 1.35/1.50  apply (zenon_L478_); trivial.
% 1.35/1.50  apply (zenon_L1243_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L40_); trivial.
% 1.35/1.50  apply (zenon_L1264_); trivial.
% 1.35/1.50  apply (zenon_L1208_); trivial.
% 1.35/1.50  apply (zenon_L25_); trivial.
% 1.35/1.50  apply (zenon_L1163_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_L1265_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L40_); trivial.
% 1.35/1.50  apply (zenon_L1267_); trivial.
% 1.35/1.50  apply (zenon_L1095_); trivial.
% 1.35/1.50  apply (zenon_L1167_); trivial.
% 1.35/1.50  apply (zenon_L1244_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_L1176_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_L236_); trivial.
% 1.35/1.50  apply (zenon_L1273_); trivial.
% 1.35/1.50  apply (zenon_L478_); trivial.
% 1.35/1.50  apply (zenon_L247_); trivial.
% 1.35/1.50  apply (zenon_L1245_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.50  apply (zenon_L1187_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_L4_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_L1190_); trivial.
% 1.35/1.50  apply (zenon_L1274_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_L362_); trivial.
% 1.35/1.50  apply (zenon_L1276_); trivial.
% 1.35/1.50  apply (zenon_L1195_); trivial.
% 1.35/1.50  apply (zenon_L405_); trivial.
% 1.35/1.50  apply (zenon_L1200_); trivial.
% 1.35/1.50  apply (zenon_L411_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_L1279_); trivial.
% 1.35/1.50  apply (zenon_L1122_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_L1278_); trivial.
% 1.35/1.50  apply (zenon_L496_); trivial.
% 1.35/1.50  apply (zenon_L478_); trivial.
% 1.35/1.50  apply (zenon_L1281_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_L1279_); trivial.
% 1.35/1.50  apply (zenon_L1163_); trivial.
% 1.35/1.50  apply (zenon_L1274_); trivial.
% 1.35/1.50  apply (zenon_L1205_); trivial.
% 1.35/1.50  apply (zenon_L411_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.50  apply (zenon_L453_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_L1261_); trivial.
% 1.35/1.50  apply (zenon_L1212_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_L1154_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.50  apply (zenon_L1078_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_L240_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L12_); trivial.
% 1.35/1.50  apply (zenon_L1132_); trivial.
% 1.35/1.50  apply (zenon_L1260_); trivial.
% 1.35/1.50  apply (zenon_L271_); trivial.
% 1.35/1.50  apply (zenon_L1249_); trivial.
% 1.35/1.50  apply (zenon_L1214_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_L4_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_L1217_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_L1282_); trivial.
% 1.35/1.50  apply (zenon_L1283_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_L1282_); trivial.
% 1.35/1.50  apply (zenon_L1185_); trivial.
% 1.35/1.50  apply (zenon_L411_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L40_); trivial.
% 1.35/1.50  apply (zenon_L1284_); trivial.
% 1.35/1.50  apply (zenon_L1277_); trivial.
% 1.35/1.50  apply (zenon_L25_); trivial.
% 1.35/1.50  apply (zenon_L1122_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.50  apply (zenon_L31_); trivial.
% 1.35/1.50  apply (zenon_L1284_); trivial.
% 1.35/1.50  apply (zenon_L1277_); trivial.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.50  apply (zenon_L1272_); trivial.
% 1.35/1.50  apply (zenon_L495_); trivial.
% 1.35/1.50  apply (zenon_L478_); trivial.
% 1.35/1.50  apply (zenon_L1281_); trivial.
% 1.35/1.50  apply (zenon_L1254_); trivial.
% 1.35/1.50  apply (zenon_L411_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1285_ *)
% 1.35/1.50  assert (zenon_L1286_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a2402)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp11)) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H1db zenon_H2c3 zenon_H72 zenon_H2c1 zenon_Ha zenon_H143 zenon_H5b.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1dc ].
% 1.35/1.50  apply (zenon_L1073_); trivial.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_H5c ].
% 1.35/1.50  exact (zenon_H143 zenon_H144).
% 1.35/1.50  exact (zenon_H5b zenon_H5c).
% 1.35/1.50  (* end of lemma zenon_L1286_ *)
% 1.35/1.50  assert (zenon_L1287_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp11)) -> (~(hskp21)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H19f zenon_H5b zenon_H143 zenon_H2c1 zenon_H2c3 zenon_H1db zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.35/1.50  apply (zenon_L1286_); trivial.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.35/1.50  apply (zenon_L628_); trivial.
% 1.35/1.50  exact (zenon_H123 zenon_H124).
% 1.35/1.50  (* end of lemma zenon_L1287_ *)
% 1.35/1.50  assert (zenon_L1288_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.50  apply (zenon_L1087_); trivial.
% 1.35/1.50  apply (zenon_L629_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1288_ *)
% 1.35/1.50  assert (zenon_L1289_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H158 zenon_H10e zenon_H2a1 zenon_H2cd zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H2c1 zenon_H2c3 zenon_H5b zenon_H1db zenon_Hc zenon_Hd zenon_He zenon_H33 zenon_H1a3 zenon_H13a.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.50  apply (zenon_L1287_); trivial.
% 1.35/1.50  apply (zenon_L137_); trivial.
% 1.35/1.50  apply (zenon_L1288_); trivial.
% 1.35/1.50  (* end of lemma zenon_L1289_ *)
% 1.35/1.50  assert (zenon_L1290_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (~(hskp10)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False).
% 1.35/1.50  do 0 intro. intros zenon_H125 zenon_H2b0 zenon_H1a1 zenon_H29a zenon_H299 zenon_Hfc zenon_Hfb zenon_H7c zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H13f.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.35/1.50  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.35/1.50  apply (zenon_L774_); trivial.
% 1.35/1.50  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.35/1.50  apply (zenon_L1232_); trivial.
% 1.35/1.50  exact (zenon_H13f zenon_H140).
% 1.35/1.50  (* end of lemma zenon_L1290_ *)
% 1.35/1.50  assert (zenon_L1291_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4a zenon_H10e zenon_H12a zenon_H1a1 zenon_H7c zenon_H1cb zenon_H19d zenon_H29a zenon_H299 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.51  apply (zenon_L1087_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.35/1.51  apply (zenon_L942_); trivial.
% 1.35/1.51  apply (zenon_L1290_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1291_ *)
% 1.35/1.51  assert (zenon_L1292_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H80 zenon_H10e zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H29a zenon_H2a1 zenon_H298 zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.51  apply (zenon_L1087_); trivial.
% 1.35/1.51  apply (zenon_L700_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1292_ *)
% 1.35/1.51  assert (zenon_L1293_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H8f zenon_H96 zenon_H2b0 zenon_H13f zenon_H105 zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H1db zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H16f zenon_H2cd zenon_H2a1 zenon_H10e zenon_H158.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.51  apply (zenon_L1289_); trivial.
% 1.35/1.51  apply (zenon_L1292_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1293_ *)
% 1.35/1.51  assert (zenon_L1294_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H92 zenon_H98 zenon_H105 zenon_H158 zenon_H10e zenon_H2a1 zenon_H2cd zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H1db zenon_H33 zenon_H1a3 zenon_H13a zenon_H189 zenon_H7e zenon_H2b0 zenon_H13f zenon_H19d zenon_H1cb zenon_H1a1 zenon_H12a zenon_H4e zenon_H1cd zenon_H96.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.51  apply (zenon_L1289_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.51  apply (zenon_L690_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L31_); trivial.
% 1.35/1.51  apply (zenon_L1291_); trivial.
% 1.35/1.51  apply (zenon_L1293_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1294_ *)
% 1.35/1.51  assert (zenon_L1295_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))) -> (ndr1_0) -> (c0_1 (a2402)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H1dd zenon_Ha zenon_H2cd zenon_H72 zenon_H2c1 zenon_H2c3.
% 1.35/1.51  generalize (zenon_H1dd (a2402)). zenon_intro zenon_H2e2.
% 1.35/1.51  apply (zenon_imply_s _ _ zenon_H2e2); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e3 ].
% 1.35/1.51  exact (zenon_H9 zenon_Ha).
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2cc ].
% 1.35/1.51  exact (zenon_H2d1 zenon_H2cd).
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c8 ].
% 1.35/1.51  apply (zenon_L1072_); trivial.
% 1.35/1.51  exact (zenon_H2c8 zenon_H2c3).
% 1.35/1.51  (* end of lemma zenon_L1295_ *)
% 1.35/1.51  assert (zenon_L1296_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H19f zenon_H2c3 zenon_H2c1 zenon_H2cd zenon_H14a zenon_H14b zenon_H14c zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H149 | zenon_intro zenon_H2a2 ].
% 1.35/1.51  apply (zenon_L95_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H199 | zenon_intro zenon_H1dd ].
% 1.35/1.51  apply (zenon_L628_); trivial.
% 1.35/1.51  apply (zenon_L1295_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.35/1.51  apply (zenon_L628_); trivial.
% 1.35/1.51  exact (zenon_H123 zenon_H124).
% 1.35/1.51  (* end of lemma zenon_L1296_ *)
% 1.35/1.51  assert (zenon_L1297_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H153 zenon_H13a zenon_H189 zenon_H187 zenon_H2a1 zenon_H2c3 zenon_H2c1 zenon_H2cd zenon_H29a zenon_H299 zenon_H298 zenon_H19f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1296_); trivial.
% 1.35/1.51  apply (zenon_L126_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1297_ *)
% 1.35/1.51  assert (zenon_L1298_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H158 zenon_H2a1 zenon_H2cd zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H2c1 zenon_H2c3 zenon_H5b zenon_H1db zenon_H187 zenon_H189 zenon_H13a.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1287_); trivial.
% 1.35/1.51  apply (zenon_L126_); trivial.
% 1.35/1.51  apply (zenon_L1297_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1298_ *)
% 1.35/1.51  assert (zenon_L1299_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp30)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp11)) -> (~(hskp21)) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H2b0 zenon_H115 zenon_H299 zenon_H29a zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H5b zenon_H143 zenon_Ha zenon_H2c1 zenon_H2c3 zenon_H1db zenon_H13f.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.35/1.51  apply (zenon_L743_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.35/1.51  apply (zenon_L1286_); trivial.
% 1.35/1.51  exact (zenon_H13f zenon_H140).
% 1.35/1.51  (* end of lemma zenon_L1299_ *)
% 1.35/1.51  assert (zenon_L1300_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp10)) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H125 zenon_H2b0 zenon_H7c zenon_H22b zenon_H22c zenon_H22d zenon_H299 zenon_H29a zenon_H1a1 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H13f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.35/1.51  apply (zenon_L660_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.35/1.51  apply (zenon_L1232_); trivial.
% 1.35/1.51  exact (zenon_H13f zenon_H140).
% 1.35/1.51  (* end of lemma zenon_L1300_ *)
% 1.35/1.51  assert (zenon_L1301_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H13a zenon_H237 zenon_H12a zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H7c zenon_H1a1 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_H1db zenon_H5b zenon_H143 zenon_H2c3 zenon_H2c1 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1287_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.35/1.51  apply (zenon_L261_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.35/1.51  apply (zenon_L1299_); trivial.
% 1.35/1.51  apply (zenon_L1300_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1301_ *)
% 1.35/1.51  assert (zenon_L1302_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H2a1 zenon_H2c3 zenon_H2c1 zenon_H2cd zenon_H29a zenon_H299 zenon_H298 zenon_H19f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1296_); trivial.
% 1.35/1.51  apply (zenon_L648_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1302_ *)
% 1.35/1.51  assert (zenon_L1303_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1be zenon_H1bd zenon_H1bc zenon_H3 zenon_H23a zenon_H2a1 zenon_H2c3 zenon_H2c1 zenon_H2cd zenon_H29a zenon_H299 zenon_H298 zenon_H19f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1296_); trivial.
% 1.35/1.51  apply (zenon_L740_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1303_ *)
% 1.35/1.51  assert (zenon_L1304_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H15b zenon_H15a zenon_H159 zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ].
% 1.35/1.51  apply (zenon_L818_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ].
% 1.35/1.51  apply (zenon_L1086_); trivial.
% 1.35/1.51  exact (zenon_Hed zenon_Hee).
% 1.35/1.51  apply (zenon_L629_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1304_ *)
% 1.35/1.51  assert (zenon_L1305_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H5b zenon_H1db.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.51  apply (zenon_L169_); trivial.
% 1.35/1.51  apply (zenon_L1304_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1305_ *)
% 1.35/1.51  assert (zenon_L1306_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4a zenon_H165 zenon_H10e zenon_H16f zenon_H158 zenon_H1b9 zenon_H2a1 zenon_H2cd zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H5b zenon_H1db zenon_H23a zenon_H3 zenon_H2b0 zenon_H13f zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H1a1 zenon_H7c zenon_H1cb zenon_H12a zenon_H237 zenon_H13a zenon_H21c zenon_H1ca.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.51  apply (zenon_L1301_); trivial.
% 1.35/1.51  apply (zenon_L1302_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.51  apply (zenon_L1301_); trivial.
% 1.35/1.51  apply (zenon_L1303_); trivial.
% 1.35/1.51  apply (zenon_L1305_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1306_ *)
% 1.35/1.51  assert (zenon_L1307_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c3_1 (a2406)) -> (c2_1 (a2406)) -> (c1_1 (a2406)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H125 zenon_H2b0 zenon_H22d zenon_H22c zenon_H22b zenon_H299 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H13f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.35/1.51  apply (zenon_L677_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.35/1.51  apply (zenon_L1232_); trivial.
% 1.35/1.51  exact (zenon_H13f zenon_H140).
% 1.35/1.51  (* end of lemma zenon_L1307_ *)
% 1.35/1.51  assert (zenon_L1308_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H2a1 zenon_H2c3 zenon_H2c1 zenon_H2cd zenon_H29a zenon_H299 zenon_H298 zenon_H19f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1296_); trivial.
% 1.35/1.51  apply (zenon_L694_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1308_ *)
% 1.35/1.51  assert (zenon_L1309_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4a zenon_H158 zenon_H21c zenon_H2a1 zenon_H2cd zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H5b zenon_H1db zenon_H23a zenon_H3 zenon_H2b0 zenon_H13f zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H12a zenon_H237 zenon_H13a.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1287_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.35/1.51  apply (zenon_L261_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.35/1.51  apply (zenon_L1299_); trivial.
% 1.35/1.51  apply (zenon_L1307_); trivial.
% 1.35/1.51  apply (zenon_L1308_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1309_ *)
% 1.35/1.51  assert (zenon_L1310_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H8f zenon_H96 zenon_H62 zenon_H5e zenon_H158 zenon_H2a1 zenon_H2cd zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H1db zenon_H189 zenon_H13a zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H237 zenon_H12a zenon_H1cb zenon_H105 zenon_H19d zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_H21c zenon_H4e zenon_H1cd zenon_H2ab zenon_H97.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.51  apply (zenon_L1298_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L12_); trivial.
% 1.35/1.51  apply (zenon_L1309_); trivial.
% 1.35/1.51  apply (zenon_L25_); trivial.
% 1.35/1.51  apply (zenon_L675_); trivial.
% 1.35/1.51  apply (zenon_L680_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1310_ *)
% 1.35/1.51  assert (zenon_L1311_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c0_1 (a2402)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H96 zenon_H1cd zenon_H4e zenon_H165 zenon_H10e zenon_H16f zenon_H1b9 zenon_H23a zenon_H3 zenon_H2b0 zenon_H13f zenon_H19d zenon_H1a1 zenon_H7c zenon_H1cb zenon_H12a zenon_H237 zenon_H21c zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H13a zenon_H189 zenon_H1db zenon_H2c3 zenon_H2c1 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H2cd zenon_H2a1 zenon_H158 zenon_H2ab zenon_Haf zenon_H97.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.51  apply (zenon_L1298_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L40_); trivial.
% 1.35/1.51  apply (zenon_L1306_); trivial.
% 1.35/1.51  apply (zenon_L656_); trivial.
% 1.35/1.51  apply (zenon_L663_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1311_ *)
% 1.35/1.51  assert (zenon_L1312_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H10e zenon_H12a zenon_H1a1 zenon_H7c zenon_H1cb zenon_H19d zenon_H29a zenon_H299 zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L40_); trivial.
% 1.35/1.51  apply (zenon_L1291_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1312_ *)
% 1.35/1.51  assert (zenon_L1313_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H1c5 zenon_H10e zenon_H2ab zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H66 zenon_H65 zenon_H64 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.51  apply (zenon_L1087_); trivial.
% 1.35/1.51  apply (zenon_L812_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1313_ *)
% 1.35/1.51  assert (zenon_L1314_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H6d zenon_H165 zenon_H10e zenon_Haf zenon_H1a1 zenon_H7c zenon_H29a zenon_H298 zenon_H299 zenon_H1b9 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H2a1 zenon_H2ab zenon_H1ca.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.51  apply (zenon_L1087_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ].
% 1.35/1.51  apply (zenon_L27_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H7d ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ].
% 1.35/1.51  apply (zenon_L769_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ].
% 1.35/1.51  exact (zenon_H145 zenon_H146).
% 1.35/1.51  exact (zenon_H1b7 zenon_H1b8).
% 1.35/1.51  exact (zenon_H7c zenon_H7d).
% 1.35/1.51  apply (zenon_L1313_); trivial.
% 1.35/1.51  apply (zenon_L655_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1314_ *)
% 1.35/1.51  assert (zenon_L1315_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H96 zenon_H97 zenon_H165 zenon_Haf zenon_H1b9 zenon_H2ab zenon_H1ca zenon_H189 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H2b0 zenon_H13f zenon_H19d zenon_H1cb zenon_H7c zenon_H1a1 zenon_H12a zenon_H4e zenon_H1cd zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H1db zenon_H2c3 zenon_H2c1 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H16f zenon_H2cd zenon_H2a1 zenon_H10e zenon_H158.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.51  apply (zenon_L1289_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.51  apply (zenon_L690_); trivial.
% 1.35/1.51  apply (zenon_L1312_); trivial.
% 1.35/1.51  apply (zenon_L1314_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1315_ *)
% 1.35/1.51  assert (zenon_L1316_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.51  apply (zenon_L1087_); trivial.
% 1.35/1.51  apply (zenon_L709_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1316_ *)
% 1.35/1.51  assert (zenon_L1317_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H19f zenon_H20b zenon_H20a zenon_H209 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.35/1.51  apply (zenon_L1140_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.35/1.51  apply (zenon_L628_); trivial.
% 1.35/1.51  exact (zenon_H123 zenon_H124).
% 1.35/1.51  (* end of lemma zenon_L1317_ *)
% 1.35/1.51  assert (zenon_L1318_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4a zenon_H13a zenon_H189 zenon_H187 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1317_); trivial.
% 1.35/1.51  apply (zenon_L126_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1318_ *)
% 1.35/1.51  assert (zenon_L1319_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp30)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H2b0 zenon_H115 zenon_H299 zenon_H29a zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H13f.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.35/1.51  apply (zenon_L743_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.35/1.51  apply (zenon_L1140_); trivial.
% 1.35/1.51  exact (zenon_H13f zenon_H140).
% 1.35/1.51  (* end of lemma zenon_L1319_ *)
% 1.35/1.51  assert (zenon_L1320_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H109 zenon_H12a zenon_H1a1 zenon_H7c zenon_H19d zenon_H29a zenon_H299 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H13f zenon_H2b0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.35/1.51  apply (zenon_L1319_); trivial.
% 1.35/1.51  apply (zenon_L1290_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1320_ *)
% 1.35/1.51  assert (zenon_L1321_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4a zenon_H10e zenon_H12a zenon_H1a1 zenon_H7c zenon_H19d zenon_H29a zenon_H299 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.51  apply (zenon_L1087_); trivial.
% 1.35/1.51  apply (zenon_L1320_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1321_ *)
% 1.35/1.51  assert (zenon_L1322_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H80 zenon_H1cd zenon_H4e zenon_H10e zenon_H12a zenon_H1a1 zenon_H19d zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.51  apply (zenon_L690_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L31_); trivial.
% 1.35/1.51  apply (zenon_L1321_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1322_ *)
% 1.35/1.51  assert (zenon_L1323_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.51  apply (zenon_L1087_); trivial.
% 1.35/1.51  apply (zenon_L717_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1323_ *)
% 1.35/1.51  assert (zenon_L1324_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H109 zenon_H2b0 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H20b zenon_H20a zenon_H209 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H13f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ].
% 1.35/1.51  apply (zenon_L699_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ].
% 1.35/1.51  apply (zenon_L1140_); trivial.
% 1.35/1.51  exact (zenon_H13f zenon_H140).
% 1.35/1.51  (* end of lemma zenon_L1324_ *)
% 1.35/1.51  assert (zenon_L1325_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4a zenon_H10e zenon_H2b0 zenon_H13f zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H29a zenon_H2a1 zenon_H298 zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.51  apply (zenon_L1087_); trivial.
% 1.35/1.51  apply (zenon_L1324_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1325_ *)
% 1.35/1.51  assert (zenon_L1326_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H6d zenon_H10e zenon_H2ab zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.51  apply (zenon_L1087_); trivial.
% 1.35/1.51  apply (zenon_L873_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1326_ *)
% 1.35/1.51  assert (zenon_L1327_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4e zenon_H13a zenon_H189 zenon_H187 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L12_); trivial.
% 1.35/1.51  apply (zenon_L1318_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1327_ *)
% 1.35/1.51  assert (zenon_L1328_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4a zenon_H13a zenon_H237 zenon_H12a zenon_H7c zenon_H1a1 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1317_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.35/1.51  apply (zenon_L261_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.35/1.51  apply (zenon_L1319_); trivial.
% 1.35/1.51  apply (zenon_L1300_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1328_ *)
% 1.35/1.51  assert (zenon_L1329_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H97 zenon_H165 zenon_Haf zenon_H1b9 zenon_H2ab zenon_H1ca zenon_H1cd zenon_H237 zenon_H12a zenon_H7c zenon_H1a1 zenon_H19d zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H189 zenon_H13a zenon_H4e zenon_H5b zenon_H5e zenon_H62.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.51  apply (zenon_L1327_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L12_); trivial.
% 1.35/1.51  apply (zenon_L1328_); trivial.
% 1.35/1.51  apply (zenon_L25_); trivial.
% 1.35/1.51  apply (zenon_L656_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1329_ *)
% 1.35/1.51  assert (zenon_L1330_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4a zenon_H13a zenon_H237 zenon_H12a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1317_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.35/1.51  apply (zenon_L261_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.35/1.51  apply (zenon_L1319_); trivial.
% 1.35/1.51  apply (zenon_L1307_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1330_ *)
% 1.35/1.51  assert (zenon_L1331_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H13a zenon_H237 zenon_H12a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19d zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L12_); trivial.
% 1.35/1.51  apply (zenon_L1330_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1331_ *)
% 1.35/1.51  assert (zenon_L1332_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4a zenon_H13a zenon_H237 zenon_H2ab zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H66 zenon_H65 zenon_H64 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1317_); trivial.
% 1.35/1.51  apply (zenon_L674_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1332_ *)
% 1.35/1.51  assert (zenon_L1333_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H234 zenon_H21c zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H52 zenon_H51 zenon_H50 zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ].
% 1.35/1.51  apply (zenon_L671_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ].
% 1.35/1.51  apply (zenon_L22_); trivial.
% 1.35/1.51  apply (zenon_L139_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1333_ *)
% 1.35/1.51  assert (zenon_L1334_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H13b zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H52 zenon_H51 zenon_H50 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H3 zenon_H23a.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ].
% 1.35/1.51  apply (zenon_L261_); trivial.
% 1.35/1.51  apply (zenon_L1333_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1334_ *)
% 1.35/1.51  assert (zenon_L1335_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H21c zenon_H237 zenon_H2ab zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_H3 zenon_H23a zenon_H189 zenon_H13a.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.51  apply (zenon_L763_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L673_); trivial.
% 1.35/1.51  apply (zenon_L1334_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1335_ *)
% 1.35/1.51  assert (zenon_L1336_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H21c zenon_H189 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H23a zenon_H3 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H2ab zenon_H237 zenon_H13a zenon_H4e.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L12_); trivial.
% 1.35/1.51  apply (zenon_L1332_); trivial.
% 1.35/1.51  apply (zenon_L1335_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1336_ *)
% 1.35/1.51  assert (zenon_L1337_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4e zenon_H13a zenon_H237 zenon_H2b0 zenon_H13f zenon_H75 zenon_H74 zenon_H73 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L12_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1317_); trivial.
% 1.35/1.51  apply (zenon_L679_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1337_ *)
% 1.35/1.51  assert (zenon_L1338_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H237 zenon_H21c zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.51  apply (zenon_L690_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L658_); trivial.
% 1.35/1.51  apply (zenon_L1334_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1338_ *)
% 1.35/1.51  assert (zenon_L1339_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H97 zenon_H165 zenon_Haf zenon_H1b9 zenon_H2a1 zenon_H2ab zenon_H1ca zenon_H1cd zenon_H10e zenon_H12a zenon_H1a1 zenon_H7c zenon_H19d zenon_H13f zenon_H2b0 zenon_Hc zenon_Hd zenon_He zenon_H2cd zenon_H16f zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H189 zenon_H13a zenon_H4e zenon_H5b zenon_H5e zenon_H62.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.51  apply (zenon_L1327_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L12_); trivial.
% 1.35/1.51  apply (zenon_L1321_); trivial.
% 1.35/1.51  apply (zenon_L25_); trivial.
% 1.35/1.51  apply (zenon_L1314_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1339_ *)
% 1.35/1.51  assert (zenon_L1340_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H8f zenon_H96 zenon_H62 zenon_H5e zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H298 zenon_H2a1 zenon_H29a zenon_H299 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_H10e zenon_H4e zenon_H2ab zenon_H97.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L12_); trivial.
% 1.35/1.51  apply (zenon_L1325_); trivial.
% 1.35/1.51  apply (zenon_L25_); trivial.
% 1.35/1.51  apply (zenon_L1326_); trivial.
% 1.35/1.51  apply (zenon_L1292_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1340_ *)
% 1.35/1.51  assert (zenon_L1341_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4e zenon_H13a zenon_H189 zenon_H187 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L40_); trivial.
% 1.35/1.51  apply (zenon_L1318_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1341_ *)
% 1.35/1.51  assert (zenon_L1342_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H1cd zenon_H237 zenon_H12a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19d zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H189 zenon_H13a zenon_H4e.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.51  apply (zenon_L1341_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L40_); trivial.
% 1.35/1.51  apply (zenon_L1330_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1342_ *)
% 1.35/1.51  assert (zenon_L1343_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp23)) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H125 zenon_H19f zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H29a zenon_H299 zenon_H298 zenon_H123.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ].
% 1.35/1.51  apply (zenon_L1232_); trivial.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ].
% 1.35/1.51  apply (zenon_L628_); trivial.
% 1.35/1.51  exact (zenon_H123 zenon_H124).
% 1.35/1.51  (* end of lemma zenon_L1343_ *)
% 1.35/1.51  assert (zenon_L1344_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H12a zenon_H19f zenon_H123 zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ].
% 1.35/1.51  apply (zenon_L350_); trivial.
% 1.35/1.51  apply (zenon_L1343_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1344_ *)
% 1.35/1.51  assert (zenon_L1345_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H13a zenon_H243 zenon_H15 zenon_H255 zenon_H143 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H12a.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L1344_); trivial.
% 1.35/1.51  apply (zenon_L265_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1345_ *)
% 1.35/1.51  assert (zenon_L1346_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H4a zenon_H158 zenon_H189 zenon_H187 zenon_H2a1 zenon_H2cd zenon_H12a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.51  apply (zenon_L1345_); trivial.
% 1.35/1.51  apply (zenon_L1297_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1346_ *)
% 1.35/1.51  assert (zenon_L1347_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (c0_1 (a2402)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H1cd zenon_H267 zenon_H2b8 zenon_H33 zenon_H257 zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H13a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H12a zenon_H2cd zenon_H2a1 zenon_H189 zenon_H158 zenon_H4e.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.51  apply (zenon_L12_); trivial.
% 1.35/1.51  apply (zenon_L1346_); trivial.
% 1.35/1.51  apply (zenon_L824_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1347_ *)
% 1.35/1.51  assert (zenon_L1348_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H62 zenon_H5e zenon_H5b zenon_H59 zenon_H4e zenon_H158 zenon_H189 zenon_H2a1 zenon_H2cd zenon_H12a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H257 zenon_H33 zenon_H2b8 zenon_H267 zenon_H1cd.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.51  apply (zenon_L1347_); trivial.
% 1.35/1.51  apply (zenon_L25_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1348_ *)
% 1.35/1.51  assert (zenon_L1349_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H243 zenon_H15 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.51  apply (zenon_L764_); trivial.
% 1.35/1.51  apply (zenon_L1304_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1349_ *)
% 1.35/1.51  assert (zenon_L1350_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H165 zenon_H158 zenon_H10e zenon_H2a1 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H243 zenon_H15 zenon_H13a zenon_H23a zenon_H3 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H1a1 zenon_H7c zenon_H1b9 zenon_H237 zenon_H2ab zenon_H187 zenon_H189 zenon_H1ca.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.51  apply (zenon_L649_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L651_); trivial.
% 1.35/1.51  apply (zenon_L126_); trivial.
% 1.35/1.51  apply (zenon_L1349_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1350_ *)
% 1.35/1.51  assert (zenon_L1351_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False).
% 1.35/1.51  do 0 intro. intros zenon_H6d zenon_H1cd zenon_H21c zenon_H1ca zenon_H189 zenon_H2ab zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H3 zenon_H23a zenon_H13a zenon_H15 zenon_H243 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H165.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.51  apply (zenon_L1350_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.51  apply (zenon_L649_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.51  apply (zenon_L764_); trivial.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.35/1.51  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.35/1.51  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.51  apply (zenon_L651_); trivial.
% 1.35/1.51  apply (zenon_L740_); trivial.
% 1.35/1.51  apply (zenon_L1349_); trivial.
% 1.35/1.51  (* end of lemma zenon_L1351_ *)
% 1.35/1.51  assert (zenon_L1352_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H1ca zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H52 zenon_H51 zenon_H50 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H23a zenon_H3 zenon_H1a1 zenon_H7c zenon_H145 zenon_H1b9 zenon_H237 zenon_H13a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.52  apply (zenon_L827_); trivial.
% 1.35/1.52  apply (zenon_L241_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1352_ *)
% 1.35/1.52  assert (zenon_L1353_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H13a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.52  apply (zenon_L691_); trivial.
% 1.35/1.52  apply (zenon_L1304_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1353_ *)
% 1.35/1.52  assert (zenon_L1354_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H5d zenon_H1cd zenon_H165 zenon_H158 zenon_H10e zenon_H2a1 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H15 zenon_H243 zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H21c zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L690_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.52  apply (zenon_L1352_); trivial.
% 1.35/1.52  apply (zenon_L1353_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1354_ *)
% 1.35/1.52  assert (zenon_L1355_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H4a zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_H2cd zenon_H16f zenon_H12a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.52  apply (zenon_L1345_); trivial.
% 1.35/1.52  apply (zenon_L1288_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1355_ *)
% 1.35/1.52  assert (zenon_L1356_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H6d zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H243 zenon_H15 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.52  apply (zenon_L764_); trivial.
% 1.35/1.52  apply (zenon_L1288_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1356_ *)
% 1.35/1.52  assert (zenon_L1357_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H80 zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H15 zenon_H243 zenon_H13a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.52  apply (zenon_L691_); trivial.
% 1.35/1.52  apply (zenon_L1288_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1357_ *)
% 1.35/1.52  assert (zenon_L1358_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H175 zenon_H95 zenon_H96 zenon_H62 zenon_H5e zenon_H4e zenon_H158 zenon_H189 zenon_H2a1 zenon_H2cd zenon_H12a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_H27 zenon_H257 zenon_H33 zenon_H2b8 zenon_H267 zenon_H1cd zenon_H165 zenon_H10e zenon_H16f zenon_H23a zenon_H1a1 zenon_H1b9 zenon_H237 zenon_H2ab zenon_H1ca zenon_H21c zenon_H97 zenon_H105 zenon_H98.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L1348_); trivial.
% 1.35/1.52  apply (zenon_L1351_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L1347_); trivial.
% 1.35/1.52  apply (zenon_L1354_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L1348_); trivial.
% 1.35/1.52  apply (zenon_L767_); trivial.
% 1.35/1.52  apply (zenon_L695_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L12_); trivial.
% 1.35/1.52  apply (zenon_L1355_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_L1356_); trivial.
% 1.35/1.52  apply (zenon_L1357_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1358_ *)
% 1.35/1.52  assert (zenon_L1359_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (c0_1 (a2402)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H1cd zenon_H267 zenon_H2b8 zenon_H33 zenon_H257 zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H13a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H12a zenon_H2cd zenon_H2a1 zenon_H189 zenon_H158 zenon_H4e.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L40_); trivial.
% 1.35/1.52  apply (zenon_L1346_); trivial.
% 1.35/1.52  apply (zenon_L824_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1359_ *)
% 1.35/1.52  assert (zenon_L1360_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H92 zenon_H98 zenon_H105 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H1a1 zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H10e.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.52  apply (zenon_L1087_); trivial.
% 1.35/1.52  apply (zenon_L866_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.52  apply (zenon_L1087_); trivial.
% 1.35/1.52  apply (zenon_L997_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1360_ *)
% 1.35/1.52  assert (zenon_L1361_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H178 zenon_H7 zenon_H5 zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H1a1 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H105 zenon_H98 zenon_H95.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_L1360_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1361_ *)
% 1.35/1.52  assert (zenon_L1362_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H13a zenon_H237 zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.52  apply (zenon_L1317_); trivial.
% 1.35/1.52  apply (zenon_L648_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1362_ *)
% 1.35/1.52  assert (zenon_L1363_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp21)) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H13a zenon_H243 zenon_H143 zenon_H15 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.52  apply (zenon_L1317_); trivial.
% 1.35/1.52  apply (zenon_L265_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1363_ *)
% 1.35/1.52  assert (zenon_L1364_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a1 zenon_H1be zenon_H1bd zenon_H1bc zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.52  apply (zenon_L1317_); trivial.
% 1.35/1.52  apply (zenon_L740_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1364_ *)
% 1.35/1.52  assert (zenon_L1365_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H1c5 zenon_H158 zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a1 zenon_H3 zenon_H23a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H15 zenon_H243 zenon_H13a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.52  apply (zenon_L1363_); trivial.
% 1.35/1.52  apply (zenon_L1364_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1365_ *)
% 1.35/1.52  assert (zenon_L1366_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_H2cd zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H15 zenon_H243 zenon_H13a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.52  apply (zenon_L1363_); trivial.
% 1.35/1.52  apply (zenon_L1304_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1366_ *)
% 1.35/1.52  assert (zenon_L1367_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H4a zenon_H165 zenon_H10e zenon_H2cd zenon_H16f zenon_H13a zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H243 zenon_H15 zenon_H2a1 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_H158 zenon_H1ca.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.52  apply (zenon_L1362_); trivial.
% 1.35/1.52  apply (zenon_L1365_); trivial.
% 1.35/1.52  apply (zenon_L1366_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1367_ *)
% 1.35/1.52  assert (zenon_L1368_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H1cd zenon_H165 zenon_H10e zenon_H2cd zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H189 zenon_H13a zenon_H4e.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L1327_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L12_); trivial.
% 1.35/1.52  apply (zenon_L1367_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1368_ *)
% 1.35/1.52  assert (zenon_L1369_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.52  apply (zenon_L1317_); trivial.
% 1.35/1.52  apply (zenon_L694_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1369_ *)
% 1.35/1.52  assert (zenon_L1370_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H4a zenon_H158 zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H15 zenon_H243 zenon_H13a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.52  apply (zenon_L1363_); trivial.
% 1.35/1.52  apply (zenon_L1369_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1370_ *)
% 1.35/1.52  assert (zenon_L1371_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H10e zenon_H2cd zenon_H16f zenon_H13a zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H243 zenon_H15 zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L40_); trivial.
% 1.35/1.52  apply (zenon_L1367_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1371_ *)
% 1.35/1.52  assert (zenon_L1372_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False).
% 1.35/1.52  do 0 intro. intros zenon_H4a zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_H2cd zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H15 zenon_H243 zenon_H13a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.52  apply (zenon_L1363_); trivial.
% 1.35/1.52  apply (zenon_L1288_); trivial.
% 1.35/1.52  (* end of lemma zenon_L1372_ *)
% 1.35/1.52  apply NNPP. intro zenon_G.
% 1.35/1.52  apply zenon_G. zenon_intro zenon_H2e4.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H2e6. zenon_intro zenon_H2e5.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2ea. zenon_intro zenon_H2e9.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H2ec. zenon_intro zenon_H2eb.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2d8. zenon_intro zenon_H2ed.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2d9. zenon_intro zenon_H2ee.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H285. zenon_intro zenon_H2ef.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H286. zenon_intro zenon_H2f0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H178. zenon_intro zenon_H2f1.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H95. zenon_intro zenon_H2f2.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H98. zenon_intro zenon_H2f3.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H96. zenon_intro zenon_H2f4.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H97. zenon_intro zenon_H2f5.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H62. zenon_intro zenon_H2f6.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H13e. zenon_intro zenon_H2f7.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1cd. zenon_intro zenon_H2f8.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H4e. zenon_intro zenon_H2f9.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H165. zenon_intro zenon_H2fa.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H1ca. zenon_intro zenon_H2fb.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H4b. zenon_intro zenon_H2fc.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H111. zenon_intro zenon_H2fd.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H158. zenon_intro zenon_H2fe.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H267. zenon_intro zenon_H2ff.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H13a. zenon_intro zenon_H300.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H302. zenon_intro zenon_H301.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H201. zenon_intro zenon_H303.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_Hca. zenon_intro zenon_H304.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H306. zenon_intro zenon_H305.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H237. zenon_intro zenon_H307.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H10e. zenon_intro zenon_H308.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H12a. zenon_intro zenon_H309.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H30b. zenon_intro zenon_H30a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H154. zenon_intro zenon_H30c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_Hb3. zenon_intro zenon_H30d.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H139. zenon_intro zenon_H30e.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H247. zenon_intro zenon_H30f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H2b8. zenon_intro zenon_H310.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H312. zenon_intro zenon_H311.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H238. zenon_intro zenon_H313.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H141. zenon_intro zenon_H314.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H1a3. zenon_intro zenon_H315.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H16f. zenon_intro zenon_H316.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H17. zenon_intro zenon_H317.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H319. zenon_intro zenon_H318.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H2ab. zenon_intro zenon_H31a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_Haf. zenon_intro zenon_H31b.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H6e. zenon_intro zenon_H31c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31e. zenon_intro zenon_H31d.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H21c. zenon_intro zenon_H31f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H1d9. zenon_intro zenon_H320.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H1c6. zenon_intro zenon_H321.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H270. zenon_intro zenon_H322.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H324. zenon_intro zenon_H323.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_Hef. zenon_intro zenon_H325.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H27. zenon_intro zenon_H326.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H1b9. zenon_intro zenon_H327.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H329. zenon_intro zenon_H328.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H18d. zenon_intro zenon_H32a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H2b0. zenon_intro zenon_H32b.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H8d. zenon_intro zenon_H32c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H5e. zenon_intro zenon_H32d.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H1ae. zenon_intro zenon_H32e.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2d5. zenon_intro zenon_H32f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H147. zenon_intro zenon_H330.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H46. zenon_intro zenon_H331.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H333. zenon_intro zenon_H332.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H335. zenon_intro zenon_H334.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H243. zenon_intro zenon_H336.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H23a. zenon_intro zenon_H337.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H189. zenon_intro zenon_H338.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H33a. zenon_intro zenon_H339.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H255. zenon_intro zenon_H33b.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H257. zenon_intro zenon_H33c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H107. zenon_intro zenon_H33d.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H19f. zenon_intro zenon_H33e.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H7e. zenon_intro zenon_H33f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H105. zenon_intro zenon_H340.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H245. zenon_intro zenon_H341.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H205. zenon_intro zenon_H342.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_Hc6. zenon_intro zenon_H343.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H345. zenon_intro zenon_H344.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_Ha3. zenon_intro zenon_H346.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H2a1. zenon_intro zenon_H347.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H1cb. zenon_intro zenon_H348.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H1db. zenon_intro zenon_H349.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34b. zenon_intro zenon_H34a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H37. zenon_intro zenon_H34c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H34e. zenon_intro zenon_H34d.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H350. zenon_intro zenon_H34f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H352. zenon_intro zenon_H351.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H1ed. zenon_intro zenon_H353.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H355. zenon_intro zenon_H354.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H19d. zenon_intro zenon_H356.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H1a1. zenon_intro zenon_H357.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H359. zenon_intro zenon_H358.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hd9. zenon_intro zenon_H35a.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H217. zenon_intro zenon_H35b.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H35d. zenon_intro zenon_H35c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H126. zenon_intro zenon_H35e.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H1e0. zenon_intro zenon_H35f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H361. zenon_intro zenon_H360.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H363. zenon_intro zenon_H362.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H365. zenon_intro zenon_H364.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H117. zenon_intro zenon_H366.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_Hb7. zenon_intro zenon_H367.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H369. zenon_intro zenon_H368.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H36a. zenon_intro zenon_H7.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H36b ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H43 | zenon_intro zenon_H36c ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H202 | zenon_intro zenon_H36d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H227 | zenon_intro zenon_H2d7 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_L8_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_L38_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_L119_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L158_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L182_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L184_); trivial.
% 1.35/1.52  apply (zenon_L185_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L207_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L209_); trivial.
% 1.35/1.52  apply (zenon_L210_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L216_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L217_); trivial.
% 1.35/1.52  apply (zenon_L220_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_L223_); trivial.
% 1.35/1.52  apply (zenon_L224_); trivial.
% 1.35/1.52  apply (zenon_L226_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_L249_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L279_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L299_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L301_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L295_); trivial.
% 1.35/1.52  apply (zenon_L304_); trivial.
% 1.35/1.52  apply (zenon_L110_); trivial.
% 1.35/1.52  apply (zenon_L308_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L312_); trivial.
% 1.35/1.52  apply (zenon_L316_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L321_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L31_); trivial.
% 1.35/1.52  apply (zenon_L294_); trivial.
% 1.35/1.52  apply (zenon_L326_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L328_); trivial.
% 1.35/1.52  apply (zenon_L316_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L328_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L331_); trivial.
% 1.35/1.52  apply (zenon_L210_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L339_); trivial.
% 1.35/1.52  apply (zenon_L343_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_L344_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L345_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L236_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L31_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.52  apply (zenon_L228_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ].
% 1.35/1.52  apply (zenon_L346_); trivial.
% 1.35/1.52  apply (zenon_L324_); trivial.
% 1.35/1.52  apply (zenon_L232_); trivial.
% 1.35/1.52  apply (zenon_L247_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L345_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L236_); trivial.
% 1.35/1.52  apply (zenon_L326_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_L347_); trivial.
% 1.35/1.52  apply (zenon_L226_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_L348_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L84_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L359_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L362_); trivial.
% 1.35/1.52  apply (zenon_L215_); trivial.
% 1.35/1.52  apply (zenon_L267_); trivial.
% 1.35/1.52  apply (zenon_L363_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L374_); trivial.
% 1.35/1.52  apply (zenon_L377_); trivial.
% 1.35/1.52  apply (zenon_L380_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L381_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L384_); trivial.
% 1.35/1.52  apply (zenon_L386_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L384_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L31_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.52  apply (zenon_L296_); trivial.
% 1.35/1.52  apply (zenon_L385_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L373_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L392_); trivial.
% 1.35/1.52  apply (zenon_L404_); trivial.
% 1.35/1.52  apply (zenon_L405_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L406_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L407_); trivial.
% 1.35/1.52  apply (zenon_L220_); trivial.
% 1.35/1.52  apply (zenon_L410_); trivial.
% 1.35/1.52  apply (zenon_L223_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_L226_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_L249_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L279_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L299_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L301_); trivial.
% 1.35/1.52  apply (zenon_L377_); trivial.
% 1.35/1.52  apply (zenon_L308_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L416_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L321_); trivial.
% 1.35/1.52  apply (zenon_L386_); trivial.
% 1.35/1.52  apply (zenon_L326_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L418_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L419_); trivial.
% 1.35/1.52  apply (zenon_L404_); trivial.
% 1.35/1.52  apply (zenon_L405_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L422_); trivial.
% 1.35/1.52  apply (zenon_L343_); trivial.
% 1.35/1.52  apply (zenon_L410_); trivial.
% 1.35/1.52  apply (zenon_L344_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_L226_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_Ha. zenon_intro zenon_H2da.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H275. zenon_intro zenon_H2db.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H276. zenon_intro zenon_H274.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.52  apply (zenon_L444_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_L453_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L458_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L457_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L460_); trivial.
% 1.35/1.52  apply (zenon_L461_); trivial.
% 1.35/1.52  apply (zenon_L363_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L457_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L460_); trivial.
% 1.35/1.52  apply (zenon_L304_); trivial.
% 1.35/1.52  apply (zenon_L110_); trivial.
% 1.35/1.52  apply (zenon_L463_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L467_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L468_); trivial.
% 1.35/1.52  apply (zenon_L469_); trivial.
% 1.35/1.52  apply (zenon_L465_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L466_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L470_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L331_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L429_); trivial.
% 1.35/1.52  apply (zenon_L205_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_L471_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L345_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L236_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L238_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L472_); trivial.
% 1.35/1.52  apply (zenon_L473_); trivial.
% 1.35/1.52  apply (zenon_L478_); trivial.
% 1.35/1.52  apply (zenon_L247_); trivial.
% 1.35/1.52  apply (zenon_L479_); trivial.
% 1.35/1.52  apply (zenon_L226_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_L348_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L84_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L381_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L480_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L362_); trivial.
% 1.35/1.52  apply (zenon_L473_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L240_); trivial.
% 1.35/1.52  apply (zenon_L473_); trivial.
% 1.35/1.52  apply (zenon_L483_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L374_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L480_); trivial.
% 1.35/1.52  apply (zenon_L304_); trivial.
% 1.35/1.52  apply (zenon_L110_); trivial.
% 1.35/1.52  apply (zenon_L380_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L497_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L373_); trivial.
% 1.35/1.52  apply (zenon_L502_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L503_); trivial.
% 1.35/1.52  apply (zenon_L223_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_L226_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_L249_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L458_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L457_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L504_); trivial.
% 1.35/1.52  apply (zenon_L461_); trivial.
% 1.35/1.52  apply (zenon_L298_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L457_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L504_); trivial.
% 1.35/1.52  apply (zenon_L304_); trivial.
% 1.35/1.52  apply (zenon_L110_); trivial.
% 1.35/1.52  apply (zenon_L463_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L512_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L415_); trivial.
% 1.35/1.52  apply (zenon_L502_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L513_); trivial.
% 1.35/1.52  apply (zenon_L344_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_L226_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_Ha. zenon_intro zenon_H36e.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H28a. zenon_intro zenon_H36f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H28c. zenon_intro zenon_H28b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H227 | zenon_intro zenon_H2d7 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_L348_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_L119_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L158_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L182_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L184_); trivial.
% 1.35/1.52  apply (zenon_L516_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L207_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L209_); trivial.
% 1.35/1.52  apply (zenon_L517_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L216_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L217_); trivial.
% 1.35/1.52  apply (zenon_L520_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_L223_); trivial.
% 1.35/1.52  apply (zenon_L224_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L84_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L89_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L88_); trivial.
% 1.35/1.52  apply (zenon_L523_); trivial.
% 1.35/1.52  apply (zenon_L111_); trivial.
% 1.35/1.52  apply (zenon_L118_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_L531_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_L542_); trivial.
% 1.35/1.52  apply (zenon_L543_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L312_); trivial.
% 1.35/1.52  apply (zenon_L544_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L545_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L551_); trivial.
% 1.35/1.52  apply (zenon_L516_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L553_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L554_); trivial.
% 1.35/1.52  apply (zenon_L516_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L328_); trivial.
% 1.35/1.52  apply (zenon_L544_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L470_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L331_); trivial.
% 1.35/1.52  apply (zenon_L517_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L339_); trivial.
% 1.35/1.52  apply (zenon_L555_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_L344_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L345_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L236_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L31_); trivial.
% 1.35/1.52  apply (zenon_L561_); trivial.
% 1.35/1.52  apply (zenon_L528_); trivial.
% 1.35/1.52  apply (zenon_L478_); trivial.
% 1.35/1.52  apply (zenon_L247_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L345_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L236_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L554_); trivial.
% 1.35/1.52  apply (zenon_L243_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_L347_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L264_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L563_); trivial.
% 1.35/1.52  apply (zenon_L532_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L264_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L551_); trivial.
% 1.35/1.52  apply (zenon_L532_); trivial.
% 1.35/1.52  apply (zenon_L564_); trivial.
% 1.35/1.52  apply (zenon_L478_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L264_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L566_); trivial.
% 1.35/1.52  apply (zenon_L532_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L52_); trivial.
% 1.35/1.52  apply (zenon_L569_); trivial.
% 1.35/1.52  apply (zenon_L35_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L571_); trivial.
% 1.35/1.52  apply (zenon_L35_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L83_); trivial.
% 1.35/1.52  apply (zenon_L569_); trivial.
% 1.35/1.52  apply (zenon_L35_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L52_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L563_); trivial.
% 1.35/1.52  apply (zenon_L185_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_L574_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L52_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L566_); trivial.
% 1.35/1.52  apply (zenon_L516_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_L523_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L339_); trivial.
% 1.35/1.52  apply (zenon_L573_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_L344_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L345_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L236_); trivial.
% 1.35/1.52  apply (zenon_L564_); trivial.
% 1.35/1.52  apply (zenon_L478_); trivial.
% 1.35/1.52  apply (zenon_L247_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L345_); trivial.
% 1.35/1.52  apply (zenon_L574_); trivial.
% 1.35/1.52  apply (zenon_L347_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_L576_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L381_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L406_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L384_); trivial.
% 1.35/1.52  apply (zenon_L520_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L384_); trivial.
% 1.35/1.52  apply (zenon_L552_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L373_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L392_); trivial.
% 1.35/1.52  apply (zenon_L578_); trivial.
% 1.35/1.52  apply (zenon_L405_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L406_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L407_); trivial.
% 1.35/1.52  apply (zenon_L520_); trivial.
% 1.35/1.52  apply (zenon_L410_); trivial.
% 1.35/1.52  apply (zenon_L223_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L46_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L41_); trivial.
% 1.35/1.52  apply (zenon_L580_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L41_); trivial.
% 1.35/1.52  apply (zenon_L585_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L381_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L587_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L586_); trivial.
% 1.35/1.52  apply (zenon_L552_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L588_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L587_); trivial.
% 1.35/1.52  apply (zenon_L410_); trivial.
% 1.35/1.52  apply (zenon_L110_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_L249_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_L590_); trivial.
% 1.35/1.52  apply (zenon_L543_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L416_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L545_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L31_); trivial.
% 1.35/1.52  apply (zenon_L591_); trivial.
% 1.35/1.52  apply (zenon_L520_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L592_); trivial.
% 1.35/1.52  apply (zenon_L528_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L418_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L419_); trivial.
% 1.35/1.52  apply (zenon_L578_); trivial.
% 1.35/1.52  apply (zenon_L405_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L422_); trivial.
% 1.35/1.52  apply (zenon_L555_); trivial.
% 1.35/1.52  apply (zenon_L410_); trivial.
% 1.35/1.52  apply (zenon_L344_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L594_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L264_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L40_); trivial.
% 1.35/1.52  apply (zenon_L591_); trivial.
% 1.35/1.52  apply (zenon_L532_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L592_); trivial.
% 1.35/1.52  apply (zenon_L535_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L593_); trivial.
% 1.35/1.52  apply (zenon_L580_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L571_); trivial.
% 1.35/1.52  apply (zenon_L410_); trivial.
% 1.35/1.52  apply (zenon_L585_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L594_); trivial.
% 1.35/1.52  apply (zenon_L574_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L593_); trivial.
% 1.35/1.52  apply (zenon_L595_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L376_); trivial.
% 1.35/1.52  apply (zenon_L570_); trivial.
% 1.35/1.52  apply (zenon_L410_); trivial.
% 1.35/1.52  apply (zenon_L110_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_Ha. zenon_intro zenon_H2da.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H275. zenon_intro zenon_H2db.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H276. zenon_intro zenon_H274.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.52  apply (zenon_L444_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_L531_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_L542_); trivial.
% 1.35/1.52  apply (zenon_L596_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L467_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L545_); trivial.
% 1.35/1.52  apply (zenon_L465_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L553_); trivial.
% 1.35/1.52  apply (zenon_L465_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L311_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L440_); trivial.
% 1.35/1.52  apply (zenon_L597_); trivial.
% 1.35/1.52  apply (zenon_L465_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L311_); trivial.
% 1.35/1.52  apply (zenon_L443_); trivial.
% 1.35/1.52  apply (zenon_L599_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_L471_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L345_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L236_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L238_); trivial.
% 1.35/1.52  apply (zenon_L600_); trivial.
% 1.35/1.52  apply (zenon_L478_); trivial.
% 1.35/1.52  apply (zenon_L247_); trivial.
% 1.35/1.52  apply (zenon_L479_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L601_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L603_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L601_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L52_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L604_); trivial.
% 1.35/1.52  apply (zenon_L605_); trivial.
% 1.35/1.52  apply (zenon_L35_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L603_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L83_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L604_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L427_); trivial.
% 1.35/1.52  apply (zenon_L268_); trivial.
% 1.35/1.52  apply (zenon_L35_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L606_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L607_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L606_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L52_); trivial.
% 1.35/1.52  apply (zenon_L599_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L607_); trivial.
% 1.35/1.52  apply (zenon_L110_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L345_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L236_); trivial.
% 1.35/1.52  apply (zenon_L602_); trivial.
% 1.35/1.52  apply (zenon_L478_); trivial.
% 1.35/1.52  apply (zenon_L247_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L345_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L236_); trivial.
% 1.35/1.52  apply (zenon_L608_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_L347_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_L576_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L497_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L372_); trivial.
% 1.35/1.52  apply (zenon_L405_); trivial.
% 1.35/1.52  apply (zenon_L609_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L503_); trivial.
% 1.35/1.52  apply (zenon_L613_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L46_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L41_); trivial.
% 1.35/1.52  apply (zenon_L609_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L41_); trivial.
% 1.35/1.52  apply (zenon_L615_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L359_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L621_); trivial.
% 1.35/1.52  apply (zenon_L496_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L588_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L621_); trivial.
% 1.35/1.52  apply (zenon_L410_); trivial.
% 1.35/1.52  apply (zenon_L613_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_L249_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_L590_); trivial.
% 1.35/1.52  apply (zenon_L596_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L512_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L506_); trivial.
% 1.35/1.52  apply (zenon_L609_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L513_); trivial.
% 1.35/1.52  apply (zenon_L613_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L625_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L626_); trivial.
% 1.35/1.52  apply (zenon_L580_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L626_); trivial.
% 1.35/1.52  apply (zenon_L615_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L625_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L623_); trivial.
% 1.35/1.52  apply (zenon_L595_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L627_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L40_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.52  apply (zenon_L360_); trivial.
% 1.35/1.52  apply (zenon_L487_); trivial.
% 1.35/1.52  apply (zenon_L338_); trivial.
% 1.35/1.52  apply (zenon_L155_); trivial.
% 1.35/1.52  apply (zenon_L148_); trivial.
% 1.35/1.52  apply (zenon_L150_); trivial.
% 1.35/1.52  apply (zenon_L232_); trivial.
% 1.35/1.52  apply (zenon_L509_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L101_); trivial.
% 1.35/1.52  apply (zenon_L612_); trivial.
% 1.35/1.52  apply (zenon_L222_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_Ha. zenon_intro zenon_H370.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H29a. zenon_intro zenon_H371.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H298. zenon_intro zenon_H299.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H202 | zenon_intro zenon_H36d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H227 | zenon_intro zenon_H2d7 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_L682_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L697_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L89_); trivial.
% 1.35/1.52  apply (zenon_L703_); trivial.
% 1.35/1.52  apply (zenon_L707_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L713_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L715_); trivial.
% 1.35/1.52  apply (zenon_L185_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_L114_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L724_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L726_); trivial.
% 1.35/1.52  apply (zenon_L728_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L730_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L732_); trivial.
% 1.35/1.52  apply (zenon_L87_); trivial.
% 1.35/1.52  apply (zenon_L736_); trivial.
% 1.35/1.52  apply (zenon_L702_); trivial.
% 1.35/1.52  apply (zenon_L681_); trivial.
% 1.35/1.52  apply (zenon_L226_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_L227_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L746_); trivial.
% 1.35/1.52  apply (zenon_L749_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_L663_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L750_); trivial.
% 1.35/1.52  apply (zenon_L749_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_L675_); trivial.
% 1.35/1.52  apply (zenon_L680_); trivial.
% 1.35/1.52  apply (zenon_L37_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L697_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L757_); trivial.
% 1.35/1.52  apply (zenon_L703_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L762_); trivial.
% 1.35/1.52  apply (zenon_L663_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_L761_); trivial.
% 1.35/1.52  apply (zenon_L767_); trivial.
% 1.35/1.52  apply (zenon_L706_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L762_); trivial.
% 1.35/1.52  apply (zenon_L756_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L768_); trivial.
% 1.35/1.52  apply (zenon_L749_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_L28_); trivial.
% 1.35/1.52  apply (zenon_L702_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L779_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L781_); trivial.
% 1.35/1.52  apply (zenon_L185_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_L786_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L790_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L792_); trivial.
% 1.35/1.52  apply (zenon_L728_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L795_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L729_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.52  apply (zenon_L732_); trivial.
% 1.35/1.52  apply (zenon_L794_); trivial.
% 1.35/1.52  apply (zenon_L736_); trivial.
% 1.35/1.52  apply (zenon_L702_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L798_); trivial.
% 1.35/1.52  apply (zenon_L803_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_L656_); trivial.
% 1.35/1.52  apply (zenon_L663_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L808_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_L675_); trivial.
% 1.35/1.52  apply (zenon_L706_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L810_); trivial.
% 1.35/1.52  apply (zenon_L803_); trivial.
% 1.35/1.52  apply (zenon_L25_); trivial.
% 1.35/1.52  apply (zenon_L45_); trivial.
% 1.35/1.52  apply (zenon_L786_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.52  apply (zenon_L808_); trivial.
% 1.35/1.52  apply (zenon_L115_); trivial.
% 1.35/1.52  apply (zenon_L816_); trivial.
% 1.35/1.52  apply (zenon_L702_); trivial.
% 1.35/1.52  apply (zenon_L226_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_L227_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L826_); trivial.
% 1.35/1.52  apply (zenon_L834_); trivial.
% 1.35/1.52  apply (zenon_L835_); trivial.
% 1.35/1.52  apply (zenon_L37_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L684_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L833_); trivial.
% 1.35/1.52  apply (zenon_L825_); trivial.
% 1.35/1.52  apply (zenon_L696_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L844_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L847_); trivial.
% 1.35/1.52  apply (zenon_L856_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L705_); trivial.
% 1.35/1.52  apply (zenon_L834_); trivial.
% 1.35/1.52  apply (zenon_L859_); trivial.
% 1.35/1.52  apply (zenon_L864_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_L4_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L865_); trivial.
% 1.35/1.52  apply (zenon_L872_); trivial.
% 1.35/1.52  apply (zenon_L887_); trivial.
% 1.35/1.52  apply (zenon_L411_); trivial.
% 1.35/1.52  apply (zenon_L226_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_L227_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_L890_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L889_); trivial.
% 1.35/1.52  apply (zenon_L695_); trivial.
% 1.35/1.52  apply (zenon_L37_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.52  apply (zenon_L684_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.52  apply (zenon_L891_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.52  apply (zenon_L240_); trivial.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.52  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.52  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.53  apply (zenon_L827_); trivial.
% 1.35/1.53  apply (zenon_L688_); trivial.
% 1.35/1.53  apply (zenon_L831_); trivial.
% 1.35/1.53  apply (zenon_L656_); trivial.
% 1.35/1.53  apply (zenon_L696_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_L757_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L689_); trivial.
% 1.35/1.53  apply (zenon_L892_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_L890_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L893_); trivial.
% 1.35/1.53  apply (zenon_L749_); trivial.
% 1.35/1.53  apply (zenon_L25_); trivial.
% 1.35/1.53  apply (zenon_L767_); trivial.
% 1.35/1.53  apply (zenon_L695_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L896_); trivial.
% 1.35/1.53  apply (zenon_L756_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L896_); trivial.
% 1.35/1.53  apply (zenon_L892_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_L4_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L904_); trivial.
% 1.35/1.53  apply (zenon_L414_); trivial.
% 1.35/1.53  apply (zenon_L45_); trivial.
% 1.35/1.53  apply (zenon_L872_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L909_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.53  apply (zenon_L792_); trivial.
% 1.35/1.53  apply (zenon_L413_); trivial.
% 1.35/1.53  apply (zenon_L410_); trivial.
% 1.35/1.53  apply (zenon_L878_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_L910_); trivial.
% 1.35/1.53  apply (zenon_L885_); trivial.
% 1.35/1.53  apply (zenon_L886_); trivial.
% 1.35/1.53  apply (zenon_L411_); trivial.
% 1.35/1.53  apply (zenon_L226_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_Ha. zenon_intro zenon_H2da.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H275. zenon_intro zenon_H2db.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H276. zenon_intro zenon_H274.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.53  apply (zenon_L933_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.53  apply (zenon_L936_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_L941_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_L946_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L939_); trivial.
% 1.35/1.53  apply (zenon_L702_); trivial.
% 1.35/1.53  apply (zenon_L953_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_L4_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_L956_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L960_); trivial.
% 1.35/1.53  apply (zenon_L702_); trivial.
% 1.35/1.53  apply (zenon_L971_); trivial.
% 1.35/1.53  apply (zenon_L980_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.53  apply (zenon_L984_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_L986_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_L989_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L939_); trivial.
% 1.35/1.53  apply (zenon_L856_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_L983_); trivial.
% 1.35/1.53  apply (zenon_L864_); trivial.
% 1.35/1.53  apply (zenon_L1014_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.53  apply (zenon_L1016_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_L1017_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_L989_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L939_); trivial.
% 1.35/1.53  apply (zenon_L892_); trivial.
% 1.35/1.53  apply (zenon_L1019_); trivial.
% 1.35/1.53  apply (zenon_L1022_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_Ha. zenon_intro zenon_H36e.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H28a. zenon_intro zenon_H36f.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H28c. zenon_intro zenon_H28b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H227 | zenon_intro zenon_H2d7 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.53  apply (zenon_L682_); trivial.
% 1.35/1.53  apply (zenon_L1026_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_L4_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L713_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.53  apply (zenon_L715_); trivial.
% 1.35/1.53  apply (zenon_L516_); trivial.
% 1.35/1.53  apply (zenon_L25_); trivial.
% 1.35/1.53  apply (zenon_L45_); trivial.
% 1.35/1.53  apply (zenon_L114_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L724_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.53  apply (zenon_L726_); trivial.
% 1.35/1.53  apply (zenon_L1028_); trivial.
% 1.35/1.53  apply (zenon_L25_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L730_); trivial.
% 1.35/1.53  apply (zenon_L1025_); trivial.
% 1.35/1.53  apply (zenon_L115_); trivial.
% 1.35/1.53  apply (zenon_L702_); trivial.
% 1.35/1.53  apply (zenon_L681_); trivial.
% 1.35/1.53  apply (zenon_L1026_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_L227_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L746_); trivial.
% 1.35/1.53  apply (zenon_L1031_); trivial.
% 1.35/1.53  apply (zenon_L25_); trivial.
% 1.35/1.53  apply (zenon_L656_); trivial.
% 1.35/1.53  apply (zenon_L663_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L750_); trivial.
% 1.35/1.53  apply (zenon_L1031_); trivial.
% 1.35/1.53  apply (zenon_L25_); trivial.
% 1.35/1.53  apply (zenon_L28_); trivial.
% 1.35/1.53  apply (zenon_L680_); trivial.
% 1.35/1.53  apply (zenon_L37_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L1033_); trivial.
% 1.35/1.53  apply (zenon_L663_); trivial.
% 1.35/1.53  apply (zenon_L1034_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_L1035_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L1033_); trivial.
% 1.35/1.53  apply (zenon_L702_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L1036_); trivial.
% 1.35/1.53  apply (zenon_L663_); trivial.
% 1.35/1.53  apply (zenon_L1037_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_L1038_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L1036_); trivial.
% 1.35/1.53  apply (zenon_L702_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_L4_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L779_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.53  apply (zenon_L781_); trivial.
% 1.35/1.53  apply (zenon_L516_); trivial.
% 1.35/1.53  apply (zenon_L25_); trivial.
% 1.35/1.53  apply (zenon_L45_); trivial.
% 1.35/1.53  apply (zenon_L1041_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L790_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.53  apply (zenon_L792_); trivial.
% 1.35/1.53  apply (zenon_L1028_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L795_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.53  apply (zenon_L729_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.53  apply (zenon_L1024_); trivial.
% 1.35/1.53  apply (zenon_L794_); trivial.
% 1.35/1.53  apply (zenon_L115_); trivial.
% 1.35/1.53  apply (zenon_L702_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L798_); trivial.
% 1.35/1.53  apply (zenon_L1042_); trivial.
% 1.35/1.53  apply (zenon_L25_); trivial.
% 1.35/1.53  apply (zenon_L656_); trivial.
% 1.35/1.53  apply (zenon_L663_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_L1043_); trivial.
% 1.35/1.53  apply (zenon_L25_); trivial.
% 1.35/1.53  apply (zenon_L675_); trivial.
% 1.35/1.53  apply (zenon_L706_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L810_); trivial.
% 1.35/1.53  apply (zenon_L1042_); trivial.
% 1.35/1.53  apply (zenon_L25_); trivial.
% 1.35/1.53  apply (zenon_L45_); trivial.
% 1.35/1.53  apply (zenon_L1041_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_L1043_); trivial.
% 1.35/1.53  apply (zenon_L115_); trivial.
% 1.35/1.53  apply (zenon_L816_); trivial.
% 1.35/1.53  apply (zenon_L706_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L1044_); trivial.
% 1.35/1.53  apply (zenon_L663_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_L1046_); trivial.
% 1.35/1.53  apply (zenon_L675_); trivial.
% 1.35/1.53  apply (zenon_L680_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L1044_); trivial.
% 1.35/1.53  apply (zenon_L1041_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_L1046_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L52_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.53  apply (zenon_L729_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.53  apply (zenon_L522_); trivial.
% 1.35/1.53  apply (zenon_L731_); trivial.
% 1.35/1.53  apply (zenon_L685_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.35/1.53  apply (zenon_L522_); trivial.
% 1.35/1.53  apply (zenon_L721_); trivial.
% 1.35/1.53  apply (zenon_L667_); trivial.
% 1.35/1.53  apply (zenon_L794_); trivial.
% 1.35/1.53  apply (zenon_L115_); trivial.
% 1.35/1.53  apply (zenon_L702_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.53  apply (zenon_L738_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.53  apply (zenon_L12_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.35/1.53  apply (zenon_L228_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.35/1.53  apply (zenon_L141_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ].
% 1.35/1.53  apply (zenon_L192_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.35/1.53  apply (zenon_L796_); trivial.
% 1.35/1.53  apply (zenon_L51_); trivial.
% 1.35/1.53  apply (zenon_L637_); trivial.
% 1.35/1.53  apply (zenon_L640_); trivial.
% 1.35/1.53  apply (zenon_L1042_); trivial.
% 1.35/1.53  apply (zenon_L25_); trivial.
% 1.35/1.53  apply (zenon_L656_); trivial.
% 1.35/1.53  apply (zenon_L663_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_L1047_); trivial.
% 1.35/1.53  apply (zenon_L25_); trivial.
% 1.35/1.53  apply (zenon_L675_); trivial.
% 1.35/1.53  apply (zenon_L706_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L948_); trivial.
% 1.35/1.53  apply (zenon_L1042_); trivial.
% 1.35/1.53  apply (zenon_L25_); trivial.
% 1.35/1.53  apply (zenon_L45_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.35/1.53  apply (zenon_L949_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.35/1.53  apply (zenon_L690_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.35/1.53  apply (zenon_L12_); trivial.
% 1.35/1.53  apply (zenon_L1039_); trivial.
% 1.35/1.53  apply (zenon_L970_); trivial.
% 1.35/1.53  apply (zenon_L45_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.35/1.53  apply (zenon_L1047_); trivial.
% 1.35/1.53  apply (zenon_L115_); trivial.
% 1.35/1.53  apply (zenon_L816_); trivial.
% 1.35/1.53  apply (zenon_L702_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_L227_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_L1050_); trivial.
% 1.35/1.53  apply (zenon_L835_); trivial.
% 1.35/1.53  apply (zenon_L37_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L837_); trivial.
% 1.35/1.53  apply (zenon_L1049_); trivial.
% 1.35/1.53  apply (zenon_L1034_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_L844_); trivial.
% 1.35/1.53  apply (zenon_L1056_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_L1050_); trivial.
% 1.35/1.53  apply (zenon_L859_); trivial.
% 1.35/1.53  apply (zenon_L864_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_L4_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L865_); trivial.
% 1.35/1.53  apply (zenon_L1058_); trivial.
% 1.35/1.53  apply (zenon_L887_); trivial.
% 1.35/1.53  apply (zenon_L411_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_L1011_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_L1012_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_L1013_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_L1006_); trivial.
% 1.35/1.53  apply (zenon_L886_); trivial.
% 1.35/1.53  apply (zenon_L411_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.35/1.53  apply (zenon_L227_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_L1059_); trivial.
% 1.35/1.53  apply (zenon_L656_); trivial.
% 1.35/1.53  apply (zenon_L1060_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.35/1.53  apply (zenon_L1059_); trivial.
% 1.35/1.53  apply (zenon_L767_); trivial.
% 1.35/1.53  apply (zenon_L695_); trivial.
% 1.35/1.53  apply (zenon_L37_); trivial.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.35/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.35/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1033_); trivial.
% 1.44/1.53  apply (zenon_L1060_); trivial.
% 1.44/1.53  apply (zenon_L1034_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_L1035_); trivial.
% 1.44/1.53  apply (zenon_L1056_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1036_); trivial.
% 1.44/1.53  apply (zenon_L1060_); trivial.
% 1.44/1.53  apply (zenon_L1037_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_L1038_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1036_); trivial.
% 1.44/1.53  apply (zenon_L1055_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L4_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.44/1.53  apply (zenon_L904_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L412_); trivial.
% 1.44/1.53  apply (zenon_L1061_); trivial.
% 1.44/1.53  apply (zenon_L45_); trivial.
% 1.44/1.53  apply (zenon_L1058_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.44/1.53  apply (zenon_L909_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L792_); trivial.
% 1.44/1.53  apply (zenon_L1061_); trivial.
% 1.44/1.53  apply (zenon_L25_); trivial.
% 1.44/1.53  apply (zenon_L878_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_L910_); trivial.
% 1.44/1.53  apply (zenon_L1053_); trivial.
% 1.44/1.53  apply (zenon_L886_); trivial.
% 1.44/1.53  apply (zenon_L411_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1065_); trivial.
% 1.44/1.53  apply (zenon_L1020_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.44/1.53  apply (zenon_L52_); trivial.
% 1.44/1.53  apply (zenon_L1066_); trivial.
% 1.44/1.53  apply (zenon_L1010_); trivial.
% 1.44/1.53  apply (zenon_L1021_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1065_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L690_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L31_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.44/1.53  apply (zenon_L897_); trivial.
% 1.44/1.53  apply (zenon_L839_); trivial.
% 1.44/1.53  apply (zenon_L155_); trivial.
% 1.44/1.53  apply (zenon_L637_); trivial.
% 1.44/1.53  apply (zenon_L385_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L690_); trivial.
% 1.44/1.53  apply (zenon_L1064_); trivial.
% 1.44/1.53  apply (zenon_L871_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.44/1.53  apply (zenon_L1067_); trivial.
% 1.44/1.53  apply (zenon_L1066_); trivial.
% 1.44/1.53  apply (zenon_L878_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.44/1.53  apply (zenon_L1067_); trivial.
% 1.44/1.53  apply (zenon_L1051_); trivial.
% 1.44/1.53  apply (zenon_L886_); trivial.
% 1.44/1.53  apply (zenon_L411_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_Ha. zenon_intro zenon_H2da.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H275. zenon_intro zenon_H2db.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H276. zenon_intro zenon_H274.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.44/1.53  apply (zenon_L933_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_L936_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L941_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_L946_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L939_); trivial.
% 1.44/1.53  apply (zenon_L1068_); trivial.
% 1.44/1.53  apply (zenon_L953_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L4_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_L956_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L960_); trivial.
% 1.44/1.53  apply (zenon_L1068_); trivial.
% 1.44/1.53  apply (zenon_L971_); trivial.
% 1.44/1.53  apply (zenon_L980_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_L984_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L986_); trivial.
% 1.44/1.53  apply (zenon_L1070_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L821_); trivial.
% 1.44/1.53  apply (zenon_L858_); trivial.
% 1.44/1.53  apply (zenon_L935_); trivial.
% 1.44/1.53  apply (zenon_L25_); trivial.
% 1.44/1.53  apply (zenon_L28_); trivial.
% 1.44/1.53  apply (zenon_L982_); trivial.
% 1.44/1.53  apply (zenon_L859_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1071_); trivial.
% 1.44/1.53  apply (zenon_L988_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1071_); trivial.
% 1.44/1.53  apply (zenon_L1069_); trivial.
% 1.44/1.53  apply (zenon_L1014_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_L1016_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L1017_); trivial.
% 1.44/1.53  apply (zenon_L1070_); trivial.
% 1.44/1.53  apply (zenon_L1019_); trivial.
% 1.44/1.53  apply (zenon_L1022_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H372.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2cd. zenon_intro zenon_H373.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H2c3. zenon_intro zenon_H2c1.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H43 | zenon_intro zenon_H36c ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H202 | zenon_intro zenon_H36d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.44/1.53  apply (zenon_L1127_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_L249_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L1134_); trivial.
% 1.44/1.53  apply (zenon_L1150_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L1155_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_L246_); trivial.
% 1.44/1.53  apply (zenon_L1149_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L4_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1164_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_L1160_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.44/1.53  apply (zenon_L1159_); trivial.
% 1.44/1.53  apply (zenon_L1165_); trivial.
% 1.44/1.53  apply (zenon_L1167_); trivial.
% 1.44/1.53  apply (zenon_L1175_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1176_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_L236_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.44/1.53  apply (zenon_L228_); trivial.
% 1.44/1.53  apply (zenon_L1178_); trivial.
% 1.44/1.53  apply (zenon_L214_); trivial.
% 1.44/1.53  apply (zenon_L243_); trivial.
% 1.44/1.53  apply (zenon_L247_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1180_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_L236_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L31_); trivial.
% 1.44/1.53  apply (zenon_L1181_); trivial.
% 1.44/1.53  apply (zenon_L347_); trivial.
% 1.44/1.53  apply (zenon_L226_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.44/1.53  apply (zenon_L1206_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_L249_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L1134_); trivial.
% 1.44/1.53  apply (zenon_L1212_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L1155_); trivial.
% 1.44/1.53  apply (zenon_L1214_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_L1220_); trivial.
% 1.44/1.53  apply (zenon_L226_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_Ha. zenon_intro zenon_H36e.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H28a. zenon_intro zenon_H36f.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H28c. zenon_intro zenon_H28b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H227 | zenon_intro zenon_H2d7 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.44/1.53  apply (zenon_L1127_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_L531_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L1222_); trivial.
% 1.44/1.53  apply (zenon_L1150_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L530_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_L529_); trivial.
% 1.44/1.53  apply (zenon_L1149_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L4_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1164_); trivial.
% 1.44/1.53  apply (zenon_L1228_); trivial.
% 1.44/1.53  apply (zenon_L1175_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1176_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_L236_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L31_); trivial.
% 1.44/1.53  apply (zenon_L1231_); trivial.
% 1.44/1.53  apply (zenon_L528_); trivial.
% 1.44/1.53  apply (zenon_L478_); trivial.
% 1.44/1.53  apply (zenon_L247_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1180_); trivial.
% 1.44/1.53  apply (zenon_L1228_); trivial.
% 1.44/1.53  apply (zenon_L347_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.44/1.53  apply (zenon_L1235_); trivial.
% 1.44/1.53  apply (zenon_L1121_); trivial.
% 1.44/1.53  apply (zenon_L1225_); trivial.
% 1.44/1.53  apply (zenon_L167_); trivial.
% 1.44/1.53  apply (zenon_L168_); trivial.
% 1.44/1.53  apply (zenon_L232_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ].
% 1.44/1.53  apply (zenon_L48_); trivial.
% 1.44/1.53  apply (zenon_L1236_); trivial.
% 1.44/1.53  apply (zenon_L1076_); trivial.
% 1.44/1.53  apply (zenon_L155_); trivial.
% 1.44/1.53  apply (zenon_L19_); trivial.
% 1.44/1.53  apply (zenon_L168_); trivial.
% 1.44/1.53  apply (zenon_L232_); trivial.
% 1.44/1.53  apply (zenon_L25_); trivial.
% 1.44/1.53  apply (zenon_L1122_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L1237_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.44/1.53  apply (zenon_L1238_); trivial.
% 1.44/1.53  apply (zenon_L293_); trivial.
% 1.44/1.53  apply (zenon_L1239_); trivial.
% 1.44/1.53  apply (zenon_L478_); trivial.
% 1.44/1.53  apply (zenon_L1243_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1164_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_L1160_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_L1227_); trivial.
% 1.44/1.53  apply (zenon_L1095_); trivial.
% 1.44/1.53  apply (zenon_L1167_); trivial.
% 1.44/1.53  apply (zenon_L1244_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1176_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_L236_); trivial.
% 1.44/1.53  apply (zenon_L1239_); trivial.
% 1.44/1.53  apply (zenon_L478_); trivial.
% 1.44/1.53  apply (zenon_L247_); trivial.
% 1.44/1.53  apply (zenon_L1245_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.44/1.53  apply (zenon_L1206_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_L531_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L1222_); trivial.
% 1.44/1.53  apply (zenon_L1212_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1154_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_L1221_); trivial.
% 1.44/1.53  apply (zenon_L449_); trivial.
% 1.44/1.53  apply (zenon_L1249_); trivial.
% 1.44/1.53  apply (zenon_L1214_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_L1220_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.44/1.53  apply (zenon_L1251_); trivial.
% 1.44/1.53  apply (zenon_L1121_); trivial.
% 1.44/1.53  apply (zenon_L266_); trivial.
% 1.44/1.53  apply (zenon_L1225_); trivial.
% 1.44/1.53  apply (zenon_L167_); trivial.
% 1.44/1.53  apply (zenon_L168_); trivial.
% 1.44/1.53  apply (zenon_L232_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.44/1.53  apply (zenon_L1251_); trivial.
% 1.44/1.53  apply (zenon_L1203_); trivial.
% 1.44/1.53  apply (zenon_L266_); trivial.
% 1.44/1.53  apply (zenon_L147_); trivial.
% 1.44/1.53  apply (zenon_L168_); trivial.
% 1.44/1.53  apply (zenon_L385_); trivial.
% 1.44/1.53  apply (zenon_L25_); trivial.
% 1.44/1.53  apply (zenon_L1122_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L1237_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.44/1.53  apply (zenon_L1238_); trivial.
% 1.44/1.53  apply (zenon_L385_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L31_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ].
% 1.44/1.53  apply (zenon_L1226_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ].
% 1.44/1.53  apply (zenon_L1177_); trivial.
% 1.44/1.53  apply (zenon_L382_); trivial.
% 1.44/1.53  apply (zenon_L214_); trivial.
% 1.44/1.53  apply (zenon_L535_); trivial.
% 1.44/1.53  apply (zenon_L478_); trivial.
% 1.44/1.53  apply (zenon_L1243_); trivial.
% 1.44/1.53  apply (zenon_L1254_); trivial.
% 1.44/1.53  apply (zenon_L411_); trivial.
% 1.44/1.53  apply (zenon_L1285_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_Ha. zenon_intro zenon_H370.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H29a. zenon_intro zenon_H371.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H298. zenon_intro zenon_H299.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L4_); trivial.
% 1.44/1.53  apply (zenon_L1294_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L1298_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L12_); trivial.
% 1.44/1.53  apply (zenon_L1306_); trivial.
% 1.44/1.53  apply (zenon_L25_); trivial.
% 1.44/1.53  apply (zenon_L656_); trivial.
% 1.44/1.53  apply (zenon_L663_); trivial.
% 1.44/1.53  apply (zenon_L1310_); trivial.
% 1.44/1.53  apply (zenon_L1294_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_L1311_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L1298_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_L1309_); trivial.
% 1.44/1.53  apply (zenon_L675_); trivial.
% 1.44/1.53  apply (zenon_L680_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_L1315_); trivial.
% 1.44/1.53  apply (zenon_L1293_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L4_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L1316_); trivial.
% 1.44/1.53  apply (zenon_L1318_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L1316_); trivial.
% 1.44/1.53  apply (zenon_L1321_); trivial.
% 1.44/1.53  apply (zenon_L25_); trivial.
% 1.44/1.53  apply (zenon_L1314_); trivial.
% 1.44/1.53  apply (zenon_L1322_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L1323_); trivial.
% 1.44/1.53  apply (zenon_L1325_); trivial.
% 1.44/1.53  apply (zenon_L25_); trivial.
% 1.44/1.53  apply (zenon_L1326_); trivial.
% 1.44/1.53  apply (zenon_L1292_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1329_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L690_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L31_); trivial.
% 1.44/1.53  apply (zenon_L1328_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L1327_); trivial.
% 1.44/1.53  apply (zenon_L1331_); trivial.
% 1.44/1.53  apply (zenon_L25_); trivial.
% 1.44/1.53  apply (zenon_L1336_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_L1337_); trivial.
% 1.44/1.53  apply (zenon_L1338_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_L1339_); trivial.
% 1.44/1.53  apply (zenon_L1322_); trivial.
% 1.44/1.53  apply (zenon_L1340_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L1341_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_L1328_); trivial.
% 1.44/1.53  apply (zenon_L656_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_L1342_); trivial.
% 1.44/1.53  apply (zenon_L675_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L1341_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_L1321_); trivial.
% 1.44/1.53  apply (zenon_L1314_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_L1325_); trivial.
% 1.44/1.53  apply (zenon_L1326_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_L227_); trivial.
% 1.44/1.53  apply (zenon_L1358_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_L1359_); trivial.
% 1.44/1.53  apply (zenon_L1351_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_L1359_); trivial.
% 1.44/1.53  apply (zenon_L767_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_L1355_); trivial.
% 1.44/1.53  apply (zenon_L1356_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_L1361_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_L1011_); trivial.
% 1.44/1.53  apply (zenon_L1360_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ].
% 1.44/1.53  apply (zenon_L227_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_L1368_); trivial.
% 1.44/1.53  apply (zenon_L25_); trivial.
% 1.44/1.53  apply (zenon_L1351_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_L1368_); trivial.
% 1.44/1.53  apply (zenon_L1354_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L1327_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L12_); trivial.
% 1.44/1.53  apply (zenon_L1370_); trivial.
% 1.44/1.53  apply (zenon_L25_); trivial.
% 1.44/1.53  apply (zenon_L767_); trivial.
% 1.44/1.53  apply (zenon_L695_); trivial.
% 1.44/1.53  apply (zenon_L37_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L1341_); trivial.
% 1.44/1.53  apply (zenon_L1371_); trivial.
% 1.44/1.53  apply (zenon_L1351_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ].
% 1.44/1.53  apply (zenon_L1341_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_L1370_); trivial.
% 1.44/1.53  apply (zenon_L767_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_L1372_); trivial.
% 1.44/1.53  apply (zenon_L1356_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ].
% 1.44/1.53  apply (zenon_L1361_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.44/1.53  apply (zenon_L1317_); trivial.
% 1.44/1.53  apply (zenon_L1004_); trivial.
% 1.44/1.53  apply (zenon_L1005_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ].
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ].
% 1.44/1.53  apply (zenon_L40_); trivial.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d.
% 1.44/1.53  apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b.
% 1.44/1.53  apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ].
% 1.44/1.53  apply (zenon_L1317_); trivial.
% 1.44/1.53  apply (zenon_L1009_); trivial.
% 1.44/1.53  apply (zenon_L1010_); trivial.
% 1.44/1.53  apply (zenon_L1360_); trivial.
% 1.44/1.53  Qed.
% 1.44/1.53  % SZS output end Proof
% 1.44/1.53  (* END-PROOF *)
% 1.44/1.53  nodes searched: 35234
% 1.44/1.53  max branch formulas: 519
% 1.44/1.53  proof nodes created: 7799
% 1.44/1.53  formulas created: 38272
% 1.44/1.53  
%------------------------------------------------------------------------------