TSTP Solution File: SYN479+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN479+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n013.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 13:53:22 EDT 2022
% Result : Theorem 0.89s 1.05s
% Output : Proof 1.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN479+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jul 12 02:50:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.89/1.05 (* PROOF-FOUND *)
% 0.89/1.05 % SZS status Theorem
% 0.89/1.05 (* BEGIN-PROOF *)
% 0.89/1.05 % SZS output start Proof
% 0.89/1.05 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a1427))/\((c2_1 (a1427))/\(~(c3_1 (a1427)))))))/\(((~(hskp1))\/((ndr1_0)/\((c2_1 (a1429))/\((c3_1 (a1429))/\(~(c0_1 (a1429)))))))/\(((~(hskp2))\/((ndr1_0)/\((c3_1 (a1430))/\((~(c0_1 (a1430)))/\(~(c2_1 (a1430)))))))/\(((~(hskp3))\/((ndr1_0)/\((c1_1 (a1431))/\((~(c0_1 (a1431)))/\(~(c2_1 (a1431)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a1434))/\((c3_1 (a1434))/\(~(c2_1 (a1434)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a1435))/\((~(c2_1 (a1435)))/\(~(c3_1 (a1435)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a1437))/\((~(c1_1 (a1437)))/\(~(c2_1 (a1437)))))))/\(((~(hskp7))\/((ndr1_0)/\((c3_1 (a1438))/\((~(c0_1 (a1438)))/\(~(c1_1 (a1438)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441)))))))/\(((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445)))))))/\(((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a1454))/\((~(c0_1 (a1454)))/\(~(c3_1 (a1454)))))))/\(((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))))/\(((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1460)))/\((~(c1_1 (a1460)))/\(~(c3_1 (a1460)))))))/\(((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466)))))))/\(((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))))/\(((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))))/\(((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504)))))))/\(((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_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)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_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))))))\/(hskp27)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp3)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((hskp0)\/(hskp4)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp6)\/(hskp7)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((hskp8)\/(hskp7)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((hskp5)\/(hskp11)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp12)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((hskp13)\/(hskp1)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))))/\(((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((hskp16)\/(hskp7)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp19)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp12)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp12)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp19)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13)))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11)))/\(((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp5)\/(hskp29)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp7)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/((hskp5)\/(hskp17)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp16)\/(hskp14)))/\(((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11)))/\(((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23)))/\(((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9)))/\(((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25)))/\(((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp25)\/(hskp13)))/\(((hskp30)\/((hskp8)\/(hskp3)))/\(((hskp30)\/(hskp24))/\(((hskp15)\/((hskp27)\/(hskp13)))/\(((hskp0)\/((hskp29)\/(hskp26)))/\(((hskp8)\/((hskp12)\/(hskp14)))/\(((hskp8)\/((hskp14)\/(hskp19)))/\(((hskp12)\/((hskp10)\/(hskp1)))/\(((hskp25)\/((hskp2)\/(hskp17)))/\((hskp22)\/((hskp3)\/(hskp17)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
% 0.89/1.05 Proof.
% 0.89/1.05 assert (zenon_L1_ : (~(hskp12)) -> (hskp12) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H1 zenon_H2.
% 0.89/1.05 exact (zenon_H1 zenon_H2).
% 0.89/1.05 (* end of lemma zenon_L1_ *)
% 0.89/1.05 assert (zenon_L2_ : (~(hskp10)) -> (hskp10) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H3 zenon_H4.
% 0.89/1.05 exact (zenon_H3 zenon_H4).
% 0.89/1.05 (* end of lemma zenon_L2_ *)
% 0.89/1.05 assert (zenon_L3_ : (~(hskp1)) -> (hskp1) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H5 zenon_H6.
% 0.89/1.05 exact (zenon_H5 zenon_H6).
% 0.89/1.05 (* end of lemma zenon_L3_ *)
% 0.89/1.05 assert (zenon_L4_ : ((hskp12)\/((hskp10)\/(hskp1))) -> (~(hskp12)) -> (~(hskp10)) -> (~(hskp1)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ].
% 0.89/1.05 exact (zenon_H1 zenon_H2).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ].
% 0.89/1.05 exact (zenon_H3 zenon_H4).
% 0.89/1.05 exact (zenon_H5 zenon_H6).
% 0.89/1.05 (* end of lemma zenon_L4_ *)
% 0.89/1.05 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H9 zenon_Ha.
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 (* end of lemma zenon_L5_ *)
% 0.89/1.05 assert (zenon_L6_ : (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He.
% 0.89/1.05 generalize (zenon_Hb (a1448)). zenon_intro zenon_Hf.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.89/1.05 exact (zenon_Hc zenon_H12).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 0.89/1.05 exact (zenon_H14 zenon_Hd).
% 0.89/1.05 exact (zenon_H13 zenon_He).
% 0.89/1.05 (* end of lemma zenon_L6_ *)
% 0.89/1.05 assert (zenon_L7_ : (~(hskp5)) -> (hskp5) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H15 zenon_H16.
% 0.89/1.05 exact (zenon_H15 zenon_H16).
% 0.89/1.05 (* end of lemma zenon_L7_ *)
% 0.89/1.05 assert (zenon_L8_ : (~(hskp17)) -> (hskp17) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H17 zenon_H18.
% 0.89/1.05 exact (zenon_H17 zenon_H18).
% 0.89/1.05 (* end of lemma zenon_L8_ *)
% 0.89/1.05 assert (zenon_L9_ : ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/((hskp5)\/(hskp17))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp17)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H19 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H17.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ].
% 0.89/1.05 apply (zenon_L6_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ].
% 0.89/1.05 exact (zenon_H15 zenon_H16).
% 0.89/1.05 exact (zenon_H17 zenon_H18).
% 0.89/1.05 (* end of lemma zenon_L9_ *)
% 0.89/1.05 assert (zenon_L10_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c2_1 (a1457))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H1b zenon_Ha zenon_H1c zenon_H1d zenon_H1e.
% 0.89/1.05 generalize (zenon_H1b (a1457)). zenon_intro zenon_H1f.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H9 | zenon_intro zenon_H20 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.89/1.05 exact (zenon_H1c zenon_H22).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 0.89/1.05 exact (zenon_H1d zenon_H24).
% 0.89/1.05 exact (zenon_H1e zenon_H23).
% 0.89/1.05 (* end of lemma zenon_L10_ *)
% 0.89/1.05 assert (zenon_L11_ : (~(hskp2)) -> (hskp2) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H25 zenon_H26.
% 0.89/1.05 exact (zenon_H25 zenon_H26).
% 0.89/1.05 (* end of lemma zenon_L11_ *)
% 0.89/1.05 assert (zenon_L12_ : ((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> (~(hskp2)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H27 zenon_H28 zenon_H5 zenon_H25.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H1b | zenon_intro zenon_H2b ].
% 0.89/1.05 apply (zenon_L10_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H6 | zenon_intro zenon_H26 ].
% 0.89/1.05 exact (zenon_H5 zenon_H6).
% 0.89/1.05 exact (zenon_H25 zenon_H26).
% 0.89/1.05 (* end of lemma zenon_L12_ *)
% 0.89/1.05 assert (zenon_L13_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/((hskp5)\/(hskp17))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H15 zenon_H19.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.05 apply (zenon_L9_); trivial.
% 0.89/1.05 apply (zenon_L12_); trivial.
% 0.89/1.05 (* end of lemma zenon_L13_ *)
% 0.89/1.05 assert (zenon_L14_ : (~(hskp25)) -> (hskp25) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H2d zenon_H2e.
% 0.89/1.05 exact (zenon_H2d zenon_H2e).
% 0.89/1.05 (* end of lemma zenon_L14_ *)
% 0.89/1.05 assert (zenon_L15_ : ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp25)) -> (~(hskp2)) -> (~(hskp17)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H2f zenon_H2d zenon_H25 zenon_H17.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H2e | zenon_intro zenon_H30 ].
% 0.89/1.05 exact (zenon_H2d zenon_H2e).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ].
% 0.89/1.05 exact (zenon_H25 zenon_H26).
% 0.89/1.05 exact (zenon_H17 zenon_H18).
% 0.89/1.05 (* end of lemma zenon_L15_ *)
% 0.89/1.05 assert (zenon_L16_ : (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c0_1 (a1504))) -> (c1_1 (a1504)) -> (c2_1 (a1504)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H31 zenon_Ha zenon_H32 zenon_H33 zenon_H34.
% 0.89/1.05 generalize (zenon_H31 (a1504)). zenon_intro zenon_H35.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H9 | zenon_intro zenon_H36 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 0.89/1.05 exact (zenon_H32 zenon_H38).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 0.89/1.05 exact (zenon_H3a zenon_H33).
% 0.89/1.05 exact (zenon_H39 zenon_H34).
% 0.89/1.05 (* end of lemma zenon_L16_ *)
% 0.89/1.05 assert (zenon_L17_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H3b zenon_Ha zenon_H3c zenon_H3d zenon_H3e.
% 0.89/1.05 generalize (zenon_H3b (a1445)). zenon_intro zenon_H3f.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H9 | zenon_intro zenon_H40 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ].
% 0.89/1.05 exact (zenon_H3c zenon_H42).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ].
% 0.89/1.05 exact (zenon_H3d zenon_H44).
% 0.89/1.05 exact (zenon_H43 zenon_H3e).
% 0.89/1.05 (* end of lemma zenon_L17_ *)
% 0.89/1.05 assert (zenon_L18_ : (~(hskp7)) -> (hskp7) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H45 zenon_H46.
% 0.89/1.05 exact (zenon_H45 zenon_H46).
% 0.89/1.05 (* end of lemma zenon_L18_ *)
% 0.89/1.05 assert (zenon_L19_ : ((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(hskp7)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H47 zenon_H48 zenon_H3e zenon_H3d zenon_H3c zenon_H45.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_Ha. zenon_intro zenon_H49.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H33. zenon_intro zenon_H4a.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H34. zenon_intro zenon_H32.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H31 | zenon_intro zenon_H4b ].
% 0.89/1.05 apply (zenon_L16_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H3b | zenon_intro zenon_H46 ].
% 0.89/1.05 apply (zenon_L17_); trivial.
% 0.89/1.05 exact (zenon_H45 zenon_H46).
% 0.89/1.05 (* end of lemma zenon_L19_ *)
% 0.89/1.05 assert (zenon_L20_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H2c zenon_H28 zenon_H5 zenon_H2f zenon_H25 zenon_H3c zenon_H3d zenon_H3e zenon_H45 zenon_H48 zenon_H4c.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.89/1.05 apply (zenon_L15_); trivial.
% 0.89/1.05 apply (zenon_L19_); trivial.
% 0.89/1.05 apply (zenon_L12_); trivial.
% 0.89/1.05 (* end of lemma zenon_L20_ *)
% 0.89/1.05 assert (zenon_L21_ : (~(hskp8)) -> (hskp8) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H4d zenon_H4e.
% 0.89/1.05 exact (zenon_H4d zenon_H4e).
% 0.89/1.05 (* end of lemma zenon_L21_ *)
% 0.89/1.05 assert (zenon_L22_ : (~(hskp14)) -> (hskp14) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H4f zenon_H50.
% 0.89/1.05 exact (zenon_H4f zenon_H50).
% 0.89/1.05 (* end of lemma zenon_L22_ *)
% 0.89/1.05 assert (zenon_L23_ : ((hskp8)\/((hskp12)\/(hskp14))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp14)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H51 zenon_H4d zenon_H1 zenon_H4f.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H4e | zenon_intro zenon_H52 ].
% 0.89/1.05 exact (zenon_H4d zenon_H4e).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H2 | zenon_intro zenon_H50 ].
% 0.89/1.05 exact (zenon_H1 zenon_H2).
% 0.89/1.05 exact (zenon_H4f zenon_H50).
% 0.89/1.05 (* end of lemma zenon_L23_ *)
% 0.89/1.05 assert (zenon_L24_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H53 zenon_Ha zenon_H54 zenon_H55 zenon_H56.
% 0.89/1.05 generalize (zenon_H53 (a1438)). zenon_intro zenon_H57.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_H9 | zenon_intro zenon_H58 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ].
% 0.89/1.05 exact (zenon_H54 zenon_H5a).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ].
% 0.89/1.05 exact (zenon_H55 zenon_H5c).
% 0.89/1.05 exact (zenon_H5b zenon_H56).
% 0.89/1.05 (* end of lemma zenon_L24_ *)
% 0.89/1.05 assert (zenon_L25_ : (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H5d zenon_Ha zenon_H5e zenon_H5f zenon_H60.
% 0.89/1.05 generalize (zenon_H5d (a1451)). zenon_intro zenon_H61.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H9 | zenon_intro zenon_H62 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ].
% 0.89/1.05 exact (zenon_H5e zenon_H64).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H66 | zenon_intro zenon_H65 ].
% 0.89/1.05 exact (zenon_H5f zenon_H66).
% 0.89/1.05 exact (zenon_H65 zenon_H60).
% 0.89/1.05 (* end of lemma zenon_L25_ *)
% 0.89/1.05 assert (zenon_L26_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(hskp5)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H67 zenon_H68 zenon_H56 zenon_H55 zenon_H54 zenon_H15.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H53 | zenon_intro zenon_H6b ].
% 0.89/1.05 apply (zenon_L24_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5d | zenon_intro zenon_H16 ].
% 0.89/1.05 apply (zenon_L25_); trivial.
% 0.89/1.05 exact (zenon_H15 zenon_H16).
% 0.89/1.05 (* end of lemma zenon_L26_ *)
% 0.89/1.05 assert (zenon_L27_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(hskp8)) -> (~(hskp12)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H6c zenon_H68 zenon_H15 zenon_H56 zenon_H55 zenon_H54 zenon_H4d zenon_H1 zenon_H51.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.05 apply (zenon_L23_); trivial.
% 0.89/1.05 apply (zenon_L26_); trivial.
% 0.89/1.05 (* end of lemma zenon_L27_ *)
% 0.89/1.05 assert (zenon_L28_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(hskp5)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H6d zenon_H6e zenon_H56 zenon_H55 zenon_H54 zenon_H15.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ].
% 0.89/1.05 apply (zenon_L24_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_Hb | zenon_intro zenon_H16 ].
% 0.89/1.05 apply (zenon_L6_); trivial.
% 0.89/1.05 exact (zenon_H15 zenon_H16).
% 0.89/1.05 (* end of lemma zenon_L28_ *)
% 0.89/1.05 assert (zenon_L29_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> (~(hskp8)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H72 zenon_H6e zenon_H51 zenon_H4d zenon_H54 zenon_H55 zenon_H56 zenon_H15 zenon_H68 zenon_H6c.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.89/1.05 apply (zenon_L27_); trivial.
% 0.89/1.05 apply (zenon_L28_); trivial.
% 0.89/1.05 (* end of lemma zenon_L29_ *)
% 0.89/1.05 assert (zenon_L30_ : (~(hskp24)) -> (hskp24) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H73 zenon_H74.
% 0.89/1.05 exact (zenon_H73 zenon_H74).
% 0.89/1.05 (* end of lemma zenon_L30_ *)
% 0.89/1.05 assert (zenon_L31_ : ((hskp30)\/(hskp24)) -> (~(hskp24)) -> (~(hskp30)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H75 zenon_H73 zenon_H76.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H77 | zenon_intro zenon_H74 ].
% 0.89/1.05 exact (zenon_H76 zenon_H77).
% 0.89/1.05 exact (zenon_H73 zenon_H74).
% 0.89/1.05 (* end of lemma zenon_L31_ *)
% 0.89/1.05 assert (zenon_L32_ : (forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))) -> (ndr1_0) -> (c0_1 (a1507)) -> (c1_1 (a1507)) -> (c2_1 (a1507)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H78 zenon_Ha zenon_H79 zenon_H7a zenon_H7b.
% 0.89/1.05 generalize (zenon_H78 (a1507)). zenon_intro zenon_H7c.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_H9 | zenon_intro zenon_H7d ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 0.89/1.05 exact (zenon_H7f zenon_H79).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ].
% 0.89/1.05 exact (zenon_H81 zenon_H7a).
% 0.89/1.05 exact (zenon_H80 zenon_H7b).
% 0.89/1.05 (* end of lemma zenon_L32_ *)
% 0.89/1.05 assert (zenon_L33_ : (~(hskp21)) -> (hskp21) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H82 zenon_H83.
% 0.89/1.05 exact (zenon_H82 zenon_H83).
% 0.89/1.05 (* end of lemma zenon_L33_ *)
% 0.89/1.05 assert (zenon_L34_ : (~(hskp9)) -> (hskp9) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H84 zenon_H85.
% 0.89/1.05 exact (zenon_H84 zenon_H85).
% 0.89/1.05 (* end of lemma zenon_L34_ *)
% 0.89/1.05 assert (zenon_L35_ : ((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp21)) -> (~(hskp9)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H86 zenon_H87 zenon_H82 zenon_H84.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H78 | zenon_intro zenon_H8a ].
% 0.89/1.05 apply (zenon_L32_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H83 | zenon_intro zenon_H85 ].
% 0.89/1.05 exact (zenon_H82 zenon_H83).
% 0.89/1.05 exact (zenon_H84 zenon_H85).
% 0.89/1.05 (* end of lemma zenon_L35_ *)
% 0.89/1.05 assert (zenon_L36_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> (~(hskp21)) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H8b zenon_H87 zenon_H84 zenon_H82 zenon_H73 zenon_H75.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 0.89/1.05 apply (zenon_L31_); trivial.
% 0.89/1.05 apply (zenon_L35_); trivial.
% 0.89/1.05 (* end of lemma zenon_L36_ *)
% 0.89/1.05 assert (zenon_L37_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74)))))) -> (ndr1_0) -> (~(c1_1 (a1487))) -> (~(c2_1 (a1487))) -> (c3_1 (a1487)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H8c zenon_Ha zenon_H8d zenon_H8e zenon_H8f.
% 0.89/1.05 generalize (zenon_H8c (a1487)). zenon_intro zenon_H90.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H90); [ zenon_intro zenon_H9 | zenon_intro zenon_H91 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ].
% 0.89/1.05 exact (zenon_H8d zenon_H93).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ].
% 0.89/1.05 exact (zenon_H8e zenon_H95).
% 0.89/1.05 exact (zenon_H94 zenon_H8f).
% 0.89/1.05 (* end of lemma zenon_L37_ *)
% 0.89/1.05 assert (zenon_L38_ : (~(hskp22)) -> (hskp22) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H96 zenon_H97.
% 0.89/1.05 exact (zenon_H96 zenon_H97).
% 0.89/1.05 (* end of lemma zenon_L38_ *)
% 0.89/1.05 assert (zenon_L39_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp22)) -> (~(hskp9)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H98 zenon_H99 zenon_H96 zenon_H84.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H8c | zenon_intro zenon_H9c ].
% 0.89/1.05 apply (zenon_L37_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H97 | zenon_intro zenon_H85 ].
% 0.89/1.05 exact (zenon_H96 zenon_H97).
% 0.89/1.05 exact (zenon_H84 zenon_H85).
% 0.89/1.05 (* end of lemma zenon_L39_ *)
% 0.89/1.05 assert (zenon_L40_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp22)) -> ((hskp30)\/(hskp24)) -> (~(hskp21)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H9d zenon_H99 zenon_H96 zenon_H75 zenon_H82 zenon_H84 zenon_H87 zenon_H8b.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.89/1.05 apply (zenon_L36_); trivial.
% 0.89/1.05 apply (zenon_L39_); trivial.
% 0.89/1.05 (* end of lemma zenon_L40_ *)
% 0.89/1.05 assert (zenon_L41_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a1468))) -> (c1_1 (a1468)) -> (c3_1 (a1468)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H9e zenon_Ha zenon_H9f zenon_Ha0 zenon_Ha1.
% 0.89/1.05 generalize (zenon_H9e (a1468)). zenon_intro zenon_Ha2.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_Ha2); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha3 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha4 ].
% 0.89/1.05 exact (zenon_H9f zenon_Ha5).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ].
% 0.89/1.05 exact (zenon_Ha7 zenon_Ha0).
% 0.89/1.05 exact (zenon_Ha6 zenon_Ha1).
% 0.89/1.05 (* end of lemma zenon_L41_ *)
% 0.89/1.05 assert (zenon_L42_ : (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (c2_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Ha8 zenon_Ha zenon_Ha9 zenon_Haa zenon_Hab.
% 0.89/1.05 generalize (zenon_Ha8 (a1441)). zenon_intro zenon_Hac.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_Hac); [ zenon_intro zenon_H9 | zenon_intro zenon_Had ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_Haf | zenon_intro zenon_Hae ].
% 0.89/1.05 exact (zenon_Haf zenon_Ha9).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb0 ].
% 0.89/1.05 exact (zenon_Hb1 zenon_Haa).
% 0.89/1.05 exact (zenon_Hb0 zenon_Hab).
% 0.89/1.05 (* end of lemma zenon_L42_ *)
% 0.89/1.05 assert (zenon_L43_ : (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hb zenon_Ha zenon_Ha8 zenon_Ha9 zenon_Hab.
% 0.89/1.05 generalize (zenon_Hb (a1441)). zenon_intro zenon_Hb2.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_Hb2); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb3 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb4 ].
% 0.89/1.05 apply (zenon_L42_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb0 ].
% 0.89/1.05 exact (zenon_Haf zenon_Ha9).
% 0.89/1.05 exact (zenon_Hb0 zenon_Hab).
% 0.89/1.05 (* end of lemma zenon_L43_ *)
% 0.89/1.05 assert (zenon_L44_ : (~(hskp18)) -> (hskp18) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hb5 zenon_Hb6.
% 0.89/1.05 exact (zenon_Hb5 zenon_Hb6).
% 0.89/1.05 (* end of lemma zenon_L44_ *)
% 0.89/1.05 assert (zenon_L45_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (~(hskp18)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hb7 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_Hab zenon_Ha9 zenon_Ha zenon_Hb zenon_Hb5.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.89/1.05 apply (zenon_L41_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.89/1.05 apply (zenon_L43_); trivial.
% 0.89/1.05 exact (zenon_Hb5 zenon_Hb6).
% 0.89/1.05 (* end of lemma zenon_L45_ *)
% 0.89/1.05 assert (zenon_L46_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(hskp18)) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp5)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hb9 zenon_H6e zenon_H56 zenon_H55 zenon_H54 zenon_Hb5 zenon_Ha9 zenon_Hab zenon_Hb7 zenon_H15.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ].
% 0.89/1.05 apply (zenon_L24_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_Hb | zenon_intro zenon_H16 ].
% 0.89/1.05 apply (zenon_L45_); trivial.
% 0.89/1.05 exact (zenon_H15 zenon_H16).
% 0.89/1.05 (* end of lemma zenon_L46_ *)
% 0.89/1.05 assert (zenon_L47_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a1466))) -> (c0_1 (a1466)) -> (c2_1 (a1466)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hbc zenon_Ha zenon_Hbd zenon_Hbe zenon_Hbf.
% 0.89/1.05 generalize (zenon_Hbc (a1466)). zenon_intro zenon_Hc0.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_Hc0); [ zenon_intro zenon_H9 | zenon_intro zenon_Hc1 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ].
% 0.89/1.05 exact (zenon_Hbd zenon_Hc3).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ].
% 0.89/1.05 exact (zenon_Hc5 zenon_Hbe).
% 0.89/1.05 exact (zenon_Hc4 zenon_Hbf).
% 0.89/1.05 (* end of lemma zenon_L47_ *)
% 0.89/1.05 assert (zenon_L48_ : (~(hskp0)) -> (hskp0) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hc6 zenon_Hc7.
% 0.89/1.05 exact (zenon_Hc6 zenon_Hc7).
% 0.89/1.05 (* end of lemma zenon_L48_ *)
% 0.89/1.05 assert (zenon_L49_ : (~(hskp11)) -> (hskp11) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hc8 zenon_Hc9.
% 0.89/1.05 exact (zenon_Hc8 zenon_Hc9).
% 0.89/1.05 (* end of lemma zenon_L49_ *)
% 0.89/1.05 assert (zenon_L50_ : ((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> (~(hskp11)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hca zenon_Hcb zenon_Hc6 zenon_Hc8.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Ha. zenon_intro zenon_Hcc.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hbe. zenon_intro zenon_Hcd.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ].
% 0.89/1.05 apply (zenon_L47_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc9 ].
% 0.89/1.05 exact (zenon_Hc6 zenon_Hc7).
% 0.89/1.05 exact (zenon_Hc8 zenon_Hc9).
% 0.89/1.05 (* end of lemma zenon_L50_ *)
% 0.89/1.05 assert (zenon_L51_ : (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c3_1 (a1458)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hcf zenon_Hd0 zenon_Hd1.
% 0.89/1.05 generalize (zenon_Hb (a1458)). zenon_intro zenon_Hd2.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_Hd2); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd3 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd4 ].
% 0.89/1.05 exact (zenon_Hcf zenon_Hd5).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd6 ].
% 0.89/1.05 exact (zenon_Hd7 zenon_Hd0).
% 0.89/1.05 exact (zenon_Hd6 zenon_Hd1).
% 0.89/1.05 (* end of lemma zenon_L51_ *)
% 0.89/1.05 assert (zenon_L52_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a1458))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hd8 zenon_Ha zenon_Hcf zenon_Hb zenon_Hd0 zenon_Hd9.
% 0.89/1.05 generalize (zenon_Hd8 (a1458)). zenon_intro zenon_Hda.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_Hda); [ zenon_intro zenon_H9 | zenon_intro zenon_Hdb ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hdc ].
% 0.89/1.05 exact (zenon_Hcf zenon_Hd5).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hdd ].
% 0.89/1.05 apply (zenon_L51_); trivial.
% 0.89/1.05 exact (zenon_Hdd zenon_Hd9).
% 0.89/1.05 (* end of lemma zenon_L52_ *)
% 0.89/1.05 assert (zenon_L53_ : (~(hskp3)) -> (hskp3) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hde zenon_Hdf.
% 0.89/1.05 exact (zenon_Hde zenon_Hdf).
% 0.89/1.05 (* end of lemma zenon_L53_ *)
% 0.89/1.05 assert (zenon_L54_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (~(c2_1 (a1458))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp3)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_He0 zenon_Hd9 zenon_Hd0 zenon_Hb zenon_Hcf zenon_Ha zenon_Hc6 zenon_Hde.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_He1 ].
% 0.89/1.05 apply (zenon_L52_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hdf ].
% 0.89/1.05 exact (zenon_Hc6 zenon_Hc7).
% 0.89/1.05 exact (zenon_Hde zenon_Hdf).
% 0.89/1.05 (* end of lemma zenon_L54_ *)
% 0.89/1.05 assert (zenon_L55_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(hskp5)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_He2 zenon_H6e zenon_H56 zenon_H55 zenon_H54 zenon_Hde zenon_Hc6 zenon_He0 zenon_H15.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ].
% 0.89/1.05 apply (zenon_L24_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_Hb | zenon_intro zenon_H16 ].
% 0.89/1.05 apply (zenon_L54_); trivial.
% 0.89/1.05 exact (zenon_H15 zenon_H16).
% 0.89/1.05 (* end of lemma zenon_L55_ *)
% 0.89/1.05 assert (zenon_L56_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(hskp0)) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_He5 zenon_Hde zenon_He0 zenon_He6 zenon_H6e zenon_H15 zenon_Ha9 zenon_Hab zenon_Hb7 zenon_H56 zenon_H55 zenon_H54 zenon_H8b zenon_H87 zenon_H84 zenon_H75 zenon_H99 zenon_H9d zenon_Hc6 zenon_Hc8 zenon_Hcb zenon_He7.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.89/1.05 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 0.89/1.05 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.05 apply (zenon_L40_); trivial.
% 0.89/1.05 apply (zenon_L46_); trivial.
% 0.89/1.05 apply (zenon_L50_); trivial.
% 0.89/1.05 apply (zenon_L55_); trivial.
% 0.89/1.05 (* end of lemma zenon_L56_ *)
% 0.89/1.05 assert (zenon_L57_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25))))) -> (ndr1_0) -> (~(c0_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_He8 zenon_Ha zenon_He9 zenon_Hea zenon_Heb.
% 0.89/1.05 generalize (zenon_He8 (a1447)). zenon_intro zenon_Hec.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_Hec); [ zenon_intro zenon_H9 | zenon_intro zenon_Hed ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hef | zenon_intro zenon_Hee ].
% 0.89/1.05 exact (zenon_He9 zenon_Hef).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf0 ].
% 0.89/1.05 exact (zenon_Hea zenon_Hf1).
% 0.89/1.05 exact (zenon_Heb zenon_Hf0).
% 0.89/1.05 (* end of lemma zenon_L57_ *)
% 0.89/1.05 assert (zenon_L58_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> (c1_1 (a1447)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hd8 zenon_Ha zenon_Hea zenon_Heb zenon_Hf2.
% 0.89/1.05 generalize (zenon_Hd8 (a1447)). zenon_intro zenon_Hf3.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_Hf3); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf4 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf5 ].
% 0.89/1.05 exact (zenon_Hea zenon_Hf1).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ].
% 0.89/1.05 exact (zenon_Heb zenon_Hf0).
% 0.89/1.05 exact (zenon_Hf6 zenon_Hf2).
% 0.89/1.05 (* end of lemma zenon_L58_ *)
% 0.89/1.05 assert (zenon_L59_ : (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hf7 zenon_Ha zenon_Hd8 zenon_Hea zenon_Heb.
% 0.89/1.05 generalize (zenon_Hf7 (a1447)). zenon_intro zenon_Hf8.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_Hf8); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf9 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hee ].
% 0.89/1.05 apply (zenon_L58_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf0 ].
% 0.89/1.05 exact (zenon_Hea zenon_Hf1).
% 0.89/1.05 exact (zenon_Heb zenon_Hf0).
% 0.89/1.05 (* end of lemma zenon_L59_ *)
% 0.89/1.05 assert (zenon_L60_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> (~(c0_1 (a1447))) -> (~(hskp3)) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(hskp2)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hfa zenon_He9 zenon_Hde zenon_Hc6 zenon_Ha zenon_Hea zenon_Heb zenon_He0 zenon_H25.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfb ].
% 0.89/1.05 apply (zenon_L57_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H26 ].
% 0.89/1.05 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd8 | zenon_intro zenon_He1 ].
% 0.89/1.05 apply (zenon_L59_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hdf ].
% 0.89/1.05 exact (zenon_Hc6 zenon_Hc7).
% 0.89/1.05 exact (zenon_Hde zenon_Hdf).
% 0.89/1.05 exact (zenon_H25 zenon_H26).
% 0.89/1.05 (* end of lemma zenon_L60_ *)
% 0.89/1.05 assert (zenon_L61_ : ((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(hskp2)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hfc zenon_Hfa zenon_Hde zenon_Hc6 zenon_He0 zenon_H25.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 0.89/1.05 apply (zenon_L60_); trivial.
% 0.89/1.05 (* end of lemma zenon_L61_ *)
% 0.89/1.05 assert (zenon_L62_ : (~(hskp26)) -> (hskp26) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hff zenon_H100.
% 0.89/1.05 exact (zenon_Hff zenon_H100).
% 0.89/1.05 (* end of lemma zenon_L62_ *)
% 0.89/1.05 assert (zenon_L63_ : ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(hskp29)) -> (~(hskp26)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H101 zenon_Hc6 zenon_H102 zenon_Hff.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H103 ].
% 0.89/1.05 exact (zenon_Hc6 zenon_Hc7).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_H100 ].
% 0.89/1.05 exact (zenon_H102 zenon_H104).
% 0.89/1.05 exact (zenon_Hff zenon_H100).
% 0.89/1.05 (* end of lemma zenon_L63_ *)
% 0.89/1.05 assert (zenon_L64_ : (forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105)))))) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46)))))) -> (~(c0_1 (a1504))) -> (c2_1 (a1504)) -> (c1_1 (a1504)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H105 zenon_Ha zenon_H106 zenon_H32 zenon_H34 zenon_H33.
% 0.89/1.05 generalize (zenon_H105 (a1504)). zenon_intro zenon_H107.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H107); [ zenon_intro zenon_H9 | zenon_intro zenon_H108 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H109 | zenon_intro zenon_H37 ].
% 0.89/1.05 generalize (zenon_H106 (a1504)). zenon_intro zenon_H10a.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H10a); [ zenon_intro zenon_H9 | zenon_intro zenon_H10b ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H38 | zenon_intro zenon_H10c ].
% 0.89/1.05 exact (zenon_H32 zenon_H38).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H39 | zenon_intro zenon_H10d ].
% 0.89/1.05 exact (zenon_H39 zenon_H34).
% 0.89/1.05 exact (zenon_H10d zenon_H109).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 0.89/1.05 exact (zenon_H3a zenon_H33).
% 0.89/1.05 exact (zenon_H39 zenon_H34).
% 0.89/1.05 (* end of lemma zenon_L64_ *)
% 0.89/1.05 assert (zenon_L65_ : (forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c1_1 (a1483)) -> (c3_1 (a1483)) -> (c2_1 (a1483)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H78 zenon_Ha zenon_H9e zenon_H10e zenon_H10f zenon_H110.
% 0.89/1.05 generalize (zenon_H78 (a1483)). zenon_intro zenon_H111.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H111); [ zenon_intro zenon_H9 | zenon_intro zenon_H112 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H114 | zenon_intro zenon_H113 ].
% 0.89/1.05 generalize (zenon_H9e (a1483)). zenon_intro zenon_H115.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_H9 | zenon_intro zenon_H116 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ].
% 0.89/1.05 exact (zenon_H114 zenon_H118).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ].
% 0.89/1.05 exact (zenon_H11a zenon_H10e).
% 0.89/1.05 exact (zenon_H119 zenon_H10f).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H11a | zenon_intro zenon_H11b ].
% 0.89/1.05 exact (zenon_H11a zenon_H10e).
% 0.89/1.05 exact (zenon_H11b zenon_H110).
% 0.89/1.05 (* end of lemma zenon_L65_ *)
% 0.89/1.05 assert (zenon_L66_ : (~(hskp23)) -> (hskp23) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H11c zenon_H11d.
% 0.89/1.05 exact (zenon_H11c zenon_H11d).
% 0.89/1.05 (* end of lemma zenon_L66_ *)
% 0.89/1.05 assert (zenon_L67_ : (~(hskp15)) -> (hskp15) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H11e zenon_H11f.
% 0.89/1.05 exact (zenon_H11e zenon_H11f).
% 0.89/1.05 (* end of lemma zenon_L67_ *)
% 0.89/1.05 assert (zenon_L68_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp18)) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c1_1 (a1504)) -> (c2_1 (a1504)) -> (~(c0_1 (a1504))) -> (c2_1 (a1483)) -> (c3_1 (a1483)) -> (c1_1 (a1483)) -> (~(hskp23)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp15)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H120 zenon_Hb5 zenon_Hb zenon_Ha zenon_Ha9 zenon_Hab zenon_H121 zenon_H33 zenon_H34 zenon_H32 zenon_H110 zenon_H10f zenon_H10e zenon_H11c zenon_Hb7 zenon_H11e.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H31 | zenon_intro zenon_H122 ].
% 0.89/1.05 apply (zenon_L16_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H105 | zenon_intro zenon_H123 ].
% 0.89/1.05 apply (zenon_L64_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H78 | zenon_intro zenon_H11d ].
% 0.89/1.05 apply (zenon_L65_); trivial.
% 0.89/1.05 exact (zenon_H11c zenon_H11d).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.89/1.05 apply (zenon_L43_); trivial.
% 0.89/1.05 exact (zenon_Hb5 zenon_Hb6).
% 0.89/1.05 exact (zenon_H11e zenon_H11f).
% 0.89/1.05 (* end of lemma zenon_L68_ *)
% 0.89/1.05 assert (zenon_L69_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1504))) -> (c1_1 (a1504)) -> (c2_1 (a1504)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(hskp23)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp15)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(hskp0)) -> (~(hskp26)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H124 zenon_H6e zenon_H15 zenon_H32 zenon_H33 zenon_H34 zenon_Hb7 zenon_Hb5 zenon_Hab zenon_Ha9 zenon_H11c zenon_H121 zenon_H11e zenon_H120 zenon_H56 zenon_H55 zenon_H54 zenon_Hc6 zenon_Hff zenon_H101.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H102 | zenon_intro zenon_H125 ].
% 0.89/1.05 apply (zenon_L63_); trivial.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10e. zenon_intro zenon_H127.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H110. zenon_intro zenon_H10f.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ].
% 0.89/1.05 apply (zenon_L24_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_Hb | zenon_intro zenon_H16 ].
% 0.89/1.05 apply (zenon_L68_); trivial.
% 0.89/1.05 exact (zenon_H15 zenon_H16).
% 0.89/1.05 (* end of lemma zenon_L69_ *)
% 0.89/1.05 assert (zenon_L70_ : (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6))))) -> (ndr1_0) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_Hf7 zenon_Ha zenon_H128 zenon_H129 zenon_H12a.
% 0.89/1.05 generalize (zenon_Hf7 (a1444)). zenon_intro zenon_H12b.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H12b); [ zenon_intro zenon_H9 | zenon_intro zenon_H12c ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12e | zenon_intro zenon_H12d ].
% 0.89/1.05 exact (zenon_H128 zenon_H12e).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H130 | zenon_intro zenon_H12f ].
% 0.89/1.05 exact (zenon_H129 zenon_H130).
% 0.89/1.05 exact (zenon_H12a zenon_H12f).
% 0.89/1.05 (* end of lemma zenon_L70_ *)
% 0.89/1.05 assert (zenon_L71_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a1517))) -> (~(c3_1 (a1517))) -> (c2_1 (a1517)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H131 zenon_Ha zenon_H132 zenon_H133 zenon_H134.
% 0.89/1.05 generalize (zenon_H131 (a1517)). zenon_intro zenon_H135.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H135); [ zenon_intro zenon_H9 | zenon_intro zenon_H136 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ].
% 0.89/1.05 exact (zenon_H132 zenon_H138).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H13a | zenon_intro zenon_H139 ].
% 0.89/1.05 exact (zenon_H133 zenon_H13a).
% 0.89/1.05 exact (zenon_H139 zenon_H134).
% 0.89/1.05 (* end of lemma zenon_L71_ *)
% 0.89/1.05 assert (zenon_L72_ : (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (~(c0_1 (a1517))) -> (c2_1 (a1517)) -> (~(c3_1 (a1517))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H5d zenon_Ha zenon_H31 zenon_H132 zenon_H134 zenon_H133.
% 0.89/1.05 generalize (zenon_H5d (a1517)). zenon_intro zenon_H13b.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H13b); [ zenon_intro zenon_H9 | zenon_intro zenon_H13c ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H13d | zenon_intro zenon_H137 ].
% 0.89/1.05 generalize (zenon_H31 (a1517)). zenon_intro zenon_H13e.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_H9 | zenon_intro zenon_H13f ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H138 | zenon_intro zenon_H140 ].
% 0.89/1.05 exact (zenon_H132 zenon_H138).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H141 | zenon_intro zenon_H139 ].
% 0.89/1.05 exact (zenon_H141 zenon_H13d).
% 0.89/1.05 exact (zenon_H139 zenon_H134).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H13a | zenon_intro zenon_H139 ].
% 0.89/1.05 exact (zenon_H133 zenon_H13a).
% 0.89/1.05 exact (zenon_H139 zenon_H134).
% 0.89/1.05 (* end of lemma zenon_L72_ *)
% 0.89/1.05 assert (zenon_L73_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c3_1 (a1517))) -> (c2_1 (a1517)) -> (~(c0_1 (a1517))) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(hskp14)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H142 zenon_H133 zenon_H134 zenon_H132 zenon_Ha zenon_H5d zenon_H4f.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 0.89/1.05 apply (zenon_L71_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 0.89/1.05 apply (zenon_L72_); trivial.
% 0.89/1.05 exact (zenon_H4f zenon_H50).
% 0.89/1.05 (* end of lemma zenon_L73_ *)
% 0.89/1.05 assert (zenon_L74_ : ((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H144 zenon_H145 zenon_H56 zenon_H55 zenon_H54 zenon_H12a zenon_H129 zenon_H128 zenon_H142 zenon_H4f.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H134. zenon_intro zenon_H147.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H132. zenon_intro zenon_H133.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 0.89/1.05 apply (zenon_L24_); trivial.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 0.89/1.05 apply (zenon_L70_); trivial.
% 0.89/1.05 apply (zenon_L73_); trivial.
% 0.89/1.05 (* end of lemma zenon_L74_ *)
% 0.89/1.05 assert (zenon_L75_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(hskp2)) -> (~(hskp17)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H4c zenon_H149 zenon_H145 zenon_H4f zenon_H142 zenon_H12a zenon_H129 zenon_H128 zenon_H101 zenon_Hc6 zenon_H54 zenon_H55 zenon_H56 zenon_H120 zenon_H11e zenon_H121 zenon_H11c zenon_Ha9 zenon_Hab zenon_Hb5 zenon_Hb7 zenon_H15 zenon_H6e zenon_H124 zenon_H25 zenon_H17 zenon_H2f.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.89/1.05 apply (zenon_L15_); trivial.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_Ha. zenon_intro zenon_H49.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H33. zenon_intro zenon_H4a.
% 0.89/1.05 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H34. zenon_intro zenon_H32.
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.89/1.05 apply (zenon_L69_); trivial.
% 0.89/1.05 apply (zenon_L74_); trivial.
% 0.89/1.05 (* end of lemma zenon_L75_ *)
% 0.89/1.05 assert (zenon_L76_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a1477))) -> (~(c1_1 (a1477))) -> (c2_1 (a1477)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H14a zenon_Ha zenon_H14b zenon_H14c zenon_H14d.
% 0.89/1.05 generalize (zenon_H14a (a1477)). zenon_intro zenon_H14e.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H14e); [ zenon_intro zenon_H9 | zenon_intro zenon_H14f ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ].
% 0.89/1.05 exact (zenon_H14b zenon_H151).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H153 | zenon_intro zenon_H152 ].
% 0.89/1.05 exact (zenon_H14c zenon_H153).
% 0.89/1.05 exact (zenon_H152 zenon_H14d).
% 0.89/1.05 (* end of lemma zenon_L76_ *)
% 0.89/1.05 assert (zenon_L77_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a1438))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (~(c0_1 (a1438))) -> (c3_1 (a1438)) -> False).
% 0.89/1.05 do 0 intro. intros zenon_H154 zenon_Ha zenon_H55 zenon_H155 zenon_H54 zenon_H56.
% 0.89/1.05 generalize (zenon_H154 (a1438)). zenon_intro zenon_H156.
% 0.89/1.05 apply (zenon_imply_s _ _ zenon_H156); [ zenon_intro zenon_H9 | zenon_intro zenon_H157 ].
% 0.89/1.05 exact (zenon_H9 zenon_Ha).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H5c | zenon_intro zenon_H158 ].
% 0.89/1.05 exact (zenon_H55 zenon_H5c).
% 0.89/1.05 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H159 | zenon_intro zenon_H5b ].
% 0.89/1.06 generalize (zenon_H155 (a1438)). zenon_intro zenon_H15a.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H15a); [ zenon_intro zenon_H9 | zenon_intro zenon_H15b ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H5a | zenon_intro zenon_H15c ].
% 0.89/1.06 exact (zenon_H54 zenon_H5a).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15d | zenon_intro zenon_H5b ].
% 0.89/1.06 exact (zenon_H159 zenon_H15d).
% 0.89/1.06 exact (zenon_H5b zenon_H56).
% 0.89/1.06 exact (zenon_H5b zenon_H56).
% 0.89/1.06 (* end of lemma zenon_L77_ *)
% 0.89/1.06 assert (zenon_L78_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((hskp5)\/(hskp11))) -> (c3_1 (a1438)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(hskp5)) -> (~(hskp11)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H15e zenon_H56 zenon_H54 zenon_H55 zenon_Ha zenon_H154 zenon_H15 zenon_Hc8.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H155 | zenon_intro zenon_H15f ].
% 0.89/1.06 apply (zenon_L77_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H16 | zenon_intro zenon_Hc9 ].
% 0.89/1.06 exact (zenon_H15 zenon_H16).
% 0.89/1.06 exact (zenon_Hc8 zenon_Hc9).
% 0.89/1.06 (* end of lemma zenon_L78_ *)
% 0.89/1.06 assert (zenon_L79_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74)))))) -> (ndr1_0) -> (~(c1_1 (a1441))) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H8c zenon_Ha zenon_H160 zenon_Ha8 zenon_Ha9 zenon_Hab.
% 0.89/1.06 generalize (zenon_H8c (a1441)). zenon_intro zenon_H161.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H161); [ zenon_intro zenon_H9 | zenon_intro zenon_H162 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H164 | zenon_intro zenon_H163 ].
% 0.89/1.06 exact (zenon_H160 zenon_H164).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb0 ].
% 0.89/1.06 apply (zenon_L42_); trivial.
% 0.89/1.06 exact (zenon_Hb0 zenon_Hab).
% 0.89/1.06 (* end of lemma zenon_L79_ *)
% 0.89/1.06 assert (zenon_L80_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(hskp22)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H165 zenon_H160 zenon_Hab zenon_Ha9 zenon_Ha8 zenon_Ha zenon_H96.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8c | zenon_intro zenon_H166 ].
% 0.89/1.06 apply (zenon_L79_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ].
% 0.89/1.06 apply (zenon_L43_); trivial.
% 0.89/1.06 exact (zenon_H96 zenon_H97).
% 0.89/1.06 (* end of lemma zenon_L80_ *)
% 0.89/1.06 assert (zenon_L81_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(hskp2)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((hskp5)\/(hskp11))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H2c zenon_H28 zenon_H5 zenon_He6 zenon_H4c zenon_H149 zenon_H145 zenon_H4f zenon_H142 zenon_H12a zenon_H129 zenon_H128 zenon_H101 zenon_Hc6 zenon_H54 zenon_H55 zenon_H56 zenon_H120 zenon_H11e zenon_H121 zenon_Ha9 zenon_Hab zenon_Hb7 zenon_H15 zenon_H6e zenon_H124 zenon_H25 zenon_H2f zenon_H15e zenon_Hc8 zenon_H165 zenon_H160 zenon_H167 zenon_H168 zenon_He0 zenon_Hde zenon_He5.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.89/1.06 apply (zenon_L75_); trivial.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.89/1.06 apply (zenon_L76_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.89/1.06 apply (zenon_L78_); trivial.
% 0.89/1.06 apply (zenon_L80_); trivial.
% 0.89/1.06 apply (zenon_L46_); trivial.
% 0.89/1.06 apply (zenon_L55_); trivial.
% 0.89/1.06 apply (zenon_L12_); trivial.
% 0.89/1.06 (* end of lemma zenon_L81_ *)
% 0.89/1.06 assert (zenon_L82_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74)))))) -> (ndr1_0) -> (~(c1_1 (a1438))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c3_1 (a1438)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H8c zenon_Ha zenon_H55 zenon_H154 zenon_H56.
% 0.89/1.06 generalize (zenon_H8c (a1438)). zenon_intro zenon_H16d.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H16d); [ zenon_intro zenon_H9 | zenon_intro zenon_H16e ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H5c | zenon_intro zenon_H15c ].
% 0.89/1.06 exact (zenon_H55 zenon_H5c).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15d | zenon_intro zenon_H5b ].
% 0.89/1.06 generalize (zenon_H154 (a1438)). zenon_intro zenon_H156.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H156); [ zenon_intro zenon_H9 | zenon_intro zenon_H157 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H5c | zenon_intro zenon_H158 ].
% 0.89/1.06 exact (zenon_H55 zenon_H5c).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H159 | zenon_intro zenon_H5b ].
% 0.89/1.06 exact (zenon_H159 zenon_H15d).
% 0.89/1.06 exact (zenon_H5b zenon_H56).
% 0.89/1.06 exact (zenon_H5b zenon_H56).
% 0.89/1.06 (* end of lemma zenon_L82_ *)
% 0.89/1.06 assert (zenon_L83_ : (~(hskp20)) -> (hskp20) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H16f zenon_H170.
% 0.89/1.06 exact (zenon_H16f zenon_H170).
% 0.89/1.06 (* end of lemma zenon_L83_ *)
% 0.89/1.06 assert (zenon_L84_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a1441))) -> (~(c2_1 (a1441))) -> (c0_1 (a1441)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H171 zenon_Ha zenon_H160 zenon_Hb1 zenon_Ha9.
% 0.89/1.06 generalize (zenon_H171 (a1441)). zenon_intro zenon_H172.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H172); [ zenon_intro zenon_H9 | zenon_intro zenon_H173 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H164 | zenon_intro zenon_H174 ].
% 0.89/1.06 exact (zenon_H160 zenon_H164).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Haa | zenon_intro zenon_Haf ].
% 0.89/1.06 exact (zenon_Hb1 zenon_Haa).
% 0.89/1.06 exact (zenon_Haf zenon_Ha9).
% 0.89/1.06 (* end of lemma zenon_L84_ *)
% 0.89/1.06 assert (zenon_L85_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a1441))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H154 zenon_Ha zenon_H160 zenon_H171 zenon_Ha9 zenon_Hab.
% 0.89/1.06 generalize (zenon_H154 (a1441)). zenon_intro zenon_H175.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H175); [ zenon_intro zenon_H9 | zenon_intro zenon_H176 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H164 | zenon_intro zenon_Hae ].
% 0.89/1.06 exact (zenon_H160 zenon_H164).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb0 ].
% 0.89/1.06 apply (zenon_L84_); trivial.
% 0.89/1.06 exact (zenon_Hb0 zenon_Hab).
% 0.89/1.06 (* end of lemma zenon_L85_ *)
% 0.89/1.06 assert (zenon_L86_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp11)) -> (~(hskp20)) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (~(c1_1 (a1441))) -> (ndr1_0) -> (c0_1 (a1507)) -> (c1_1 (a1507)) -> (c2_1 (a1507)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H177 zenon_Hc8 zenon_H16f zenon_H55 zenon_H56 zenon_H178 zenon_Hab zenon_Ha9 zenon_H171 zenon_H160 zenon_Ha zenon_H79 zenon_H7a zenon_H7b.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H154 | zenon_intro zenon_H17a ].
% 0.89/1.06 apply (zenon_L82_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H170 | zenon_intro zenon_Hc9 ].
% 0.89/1.06 exact (zenon_H16f zenon_H170).
% 0.89/1.06 exact (zenon_Hc8 zenon_Hc9).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 0.89/1.06 apply (zenon_L85_); trivial.
% 0.89/1.06 apply (zenon_L32_); trivial.
% 0.89/1.06 (* end of lemma zenon_L86_ *)
% 0.89/1.06 assert (zenon_L87_ : (forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69)))))) -> (ndr1_0) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H17b zenon_Ha zenon_H17c zenon_H17d zenon_H17e.
% 0.89/1.06 generalize (zenon_H17b (a1452)). zenon_intro zenon_H17f.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H17f); [ zenon_intro zenon_H9 | zenon_intro zenon_H180 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H182 | zenon_intro zenon_H181 ].
% 0.89/1.06 exact (zenon_H17c zenon_H182).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H184 | zenon_intro zenon_H183 ].
% 0.89/1.06 exact (zenon_H184 zenon_H17d).
% 0.89/1.06 exact (zenon_H183 zenon_H17e).
% 0.89/1.06 (* end of lemma zenon_L87_ *)
% 0.89/1.06 assert (zenon_L88_ : (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_Ha8 zenon_Ha zenon_Ha9 zenon_H171 zenon_H160 zenon_Hab.
% 0.89/1.06 generalize (zenon_Ha8 (a1441)). zenon_intro zenon_Hac.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_Hac); [ zenon_intro zenon_H9 | zenon_intro zenon_Had ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_Haf | zenon_intro zenon_Hae ].
% 0.89/1.06 exact (zenon_Haf zenon_Ha9).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb0 ].
% 0.89/1.06 apply (zenon_L84_); trivial.
% 0.89/1.06 exact (zenon_Hb0 zenon_Hab).
% 0.89/1.06 (* end of lemma zenon_L88_ *)
% 0.89/1.06 assert (zenon_L89_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1487)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (c0_1 (a1441)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H185 zenon_H8f zenon_H8e zenon_H8d zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_Ha9 zenon_H171 zenon_H160 zenon_Hab.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 0.89/1.06 apply (zenon_L37_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 0.89/1.06 apply (zenon_L87_); trivial.
% 0.89/1.06 apply (zenon_L88_); trivial.
% 0.89/1.06 (* end of lemma zenon_L89_ *)
% 0.89/1.06 assert (zenon_L90_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(hskp20)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H98 zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_H185 zenon_H17e zenon_H17d zenon_H17c zenon_H16f.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.06 apply (zenon_L89_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.06 apply (zenon_L87_); trivial.
% 0.89/1.06 exact (zenon_H16f zenon_H170).
% 0.89/1.06 (* end of lemma zenon_L90_ *)
% 0.89/1.06 assert (zenon_L91_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp20)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H9d zenon_H185 zenon_H75 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H55 zenon_H56 zenon_H16f zenon_Hc8 zenon_H178 zenon_H17c zenon_H17d zenon_H17e zenon_H187 zenon_H8b.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 0.89/1.06 apply (zenon_L31_); trivial.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.06 apply (zenon_L86_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.06 apply (zenon_L87_); trivial.
% 0.89/1.06 exact (zenon_H16f zenon_H170).
% 0.89/1.06 apply (zenon_L90_); trivial.
% 0.89/1.06 (* end of lemma zenon_L91_ *)
% 0.89/1.06 assert (zenon_L92_ : ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp3)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H189 zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H96 zenon_Hde.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H17b | zenon_intro zenon_H18a ].
% 0.89/1.06 apply (zenon_L87_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H97 | zenon_intro zenon_Hdf ].
% 0.89/1.06 exact (zenon_H96 zenon_H97).
% 0.89/1.06 exact (zenon_Hde zenon_Hdf).
% 0.89/1.06 (* end of lemma zenon_L92_ *)
% 0.89/1.06 assert (zenon_L93_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a1465))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H14a zenon_Ha zenon_H18b zenon_H18c zenon_H18d.
% 0.89/1.06 generalize (zenon_H14a (a1465)). zenon_intro zenon_H18e.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H18e); [ zenon_intro zenon_H9 | zenon_intro zenon_H18f ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H191 | zenon_intro zenon_H190 ].
% 0.89/1.06 exact (zenon_H18b zenon_H191).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H193 | zenon_intro zenon_H192 ].
% 0.89/1.06 exact (zenon_H18c zenon_H193).
% 0.89/1.06 exact (zenon_H192 zenon_H18d).
% 0.89/1.06 (* end of lemma zenon_L93_ *)
% 0.89/1.06 assert (zenon_L94_ : (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_Ha8 zenon_Ha zenon_H14a zenon_H18c zenon_H18d zenon_H194.
% 0.89/1.06 generalize (zenon_Ha8 (a1465)). zenon_intro zenon_H195.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H195); [ zenon_intro zenon_H9 | zenon_intro zenon_H196 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18b | zenon_intro zenon_H197 ].
% 0.89/1.06 apply (zenon_L93_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H192 | zenon_intro zenon_H198 ].
% 0.89/1.06 exact (zenon_H192 zenon_H18d).
% 0.89/1.06 exact (zenon_H198 zenon_H194).
% 0.89/1.06 (* end of lemma zenon_L94_ *)
% 0.89/1.06 assert (zenon_L95_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(hskp18)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_Hb7 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_H194 zenon_H18d zenon_H18c zenon_H14a zenon_Ha zenon_Hb5.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.89/1.06 apply (zenon_L41_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.89/1.06 apply (zenon_L94_); trivial.
% 0.89/1.06 exact (zenon_Hb5 zenon_Hb6).
% 0.89/1.06 (* end of lemma zenon_L95_ *)
% 0.89/1.06 assert (zenon_L96_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(hskp18)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_Hb9 zenon_H199 zenon_H18c zenon_H18d zenon_H194 zenon_Hb7 zenon_Hab zenon_Ha9 zenon_Hb5.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.89/1.06 apply (zenon_L95_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.89/1.06 apply (zenon_L41_); trivial.
% 0.89/1.06 apply (zenon_L45_); trivial.
% 0.89/1.06 (* end of lemma zenon_L96_ *)
% 0.89/1.06 assert (zenon_L97_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_Ha9 zenon_Hab zenon_Hb5 zenon_Hb7 zenon_H17c zenon_H17d zenon_H17e zenon_Hde zenon_H189.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.06 apply (zenon_L92_); trivial.
% 0.89/1.06 apply (zenon_L96_); trivial.
% 0.89/1.06 (* end of lemma zenon_L97_ *)
% 0.89/1.06 assert (zenon_L98_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H19e zenon_He6 zenon_H199 zenon_Hb5 zenon_Hb7 zenon_Hde zenon_H189 zenon_H8b zenon_H187 zenon_H17e zenon_H17d zenon_H17c zenon_H178 zenon_Hc8 zenon_H56 zenon_H55 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H75 zenon_H185 zenon_H9d.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.06 apply (zenon_L91_); trivial.
% 0.89/1.06 apply (zenon_L97_); trivial.
% 0.89/1.06 (* end of lemma zenon_L98_ *)
% 0.89/1.06 assert (zenon_L99_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(c0_1 (a1438))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H19f zenon_He5 zenon_H6e zenon_H15 zenon_Hc6 zenon_He0 zenon_H54 zenon_H9d zenon_H185 zenon_H75 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H55 zenon_H56 zenon_Hc8 zenon_H178 zenon_H187 zenon_H8b zenon_H189 zenon_Hde zenon_Hb7 zenon_H199 zenon_He6 zenon_H19e.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.89/1.06 apply (zenon_L98_); trivial.
% 0.89/1.06 apply (zenon_L55_); trivial.
% 0.89/1.06 (* end of lemma zenon_L99_ *)
% 0.89/1.06 assert (zenon_L100_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H67 zenon_H145 zenon_H56 zenon_H55 zenon_H54 zenon_H12a zenon_H129 zenon_H128.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 0.89/1.06 apply (zenon_L24_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 0.89/1.06 apply (zenon_L70_); trivial.
% 0.89/1.06 apply (zenon_L25_); trivial.
% 0.89/1.06 (* end of lemma zenon_L100_ *)
% 0.89/1.06 assert (zenon_L101_ : ((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(hskp2)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_Hfc zenon_Hfa zenon_H12a zenon_H129 zenon_H128 zenon_H25.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfb ].
% 0.89/1.06 apply (zenon_L57_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H26 ].
% 0.89/1.06 apply (zenon_L70_); trivial.
% 0.89/1.06 exact (zenon_H25 zenon_H26).
% 0.89/1.06 (* end of lemma zenon_L101_ *)
% 0.89/1.06 assert (zenon_L102_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((hskp5)\/(hskp11))) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1a2 zenon_H1a3 zenon_Hfa zenon_H1a4 zenon_H9d zenon_H185 zenon_H75 zenon_H177 zenon_H178 zenon_H187 zenon_H8b zenon_H189 zenon_H199 zenon_H19e zenon_He5 zenon_Hde zenon_He0 zenon_H168 zenon_H167 zenon_H160 zenon_H165 zenon_H15e zenon_H2f zenon_H25 zenon_H124 zenon_H6e zenon_H15 zenon_Hb7 zenon_Hab zenon_Ha9 zenon_H121 zenon_H120 zenon_H56 zenon_H55 zenon_H54 zenon_Hc6 zenon_H101 zenon_H142 zenon_H145 zenon_H149 zenon_H4c zenon_He6 zenon_H5 zenon_H28 zenon_H2c zenon_H6c.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.89/1.06 apply (zenon_L81_); trivial.
% 0.89/1.06 apply (zenon_L99_); trivial.
% 0.89/1.06 apply (zenon_L100_); trivial.
% 0.89/1.06 apply (zenon_L101_); trivial.
% 0.89/1.06 (* end of lemma zenon_L102_ *)
% 0.89/1.06 assert (zenon_L103_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((hskp5)\/(hskp11))) -> ((hskp25)\/((hskp2)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1a7 zenon_H1a8 zenon_H1a4 zenon_H185 zenon_H177 zenon_H178 zenon_H187 zenon_H189 zenon_H199 zenon_H19e zenon_H168 zenon_H167 zenon_H165 zenon_H15e zenon_H2f zenon_H124 zenon_H121 zenon_H120 zenon_H101 zenon_H142 zenon_H145 zenon_H149 zenon_H4c zenon_H5 zenon_H28 zenon_H2c zenon_He5 zenon_Hde zenon_He0 zenon_He6 zenon_Hb7 zenon_H8b zenon_H87 zenon_H75 zenon_H99 zenon_H9d zenon_Hc6 zenon_Hcb zenon_He7 zenon_H25 zenon_Hfa zenon_H1a3 zenon_H6c zenon_H68 zenon_H15 zenon_H56 zenon_H55 zenon_H54 zenon_H51 zenon_H6e zenon_H72.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 0.89/1.06 apply (zenon_L29_); trivial.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.89/1.06 apply (zenon_L56_); trivial.
% 0.89/1.06 apply (zenon_L61_); trivial.
% 0.89/1.06 apply (zenon_L102_); trivial.
% 0.89/1.06 (* end of lemma zenon_L103_ *)
% 0.89/1.06 assert (zenon_L104_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1ac zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af.
% 0.89/1.06 generalize (zenon_H1ac (a1435)). zenon_intro zenon_H1b0.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H1b0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b1 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1b2 ].
% 0.89/1.06 exact (zenon_H1ad zenon_H1b3).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ].
% 0.89/1.06 exact (zenon_H1ae zenon_H1b5).
% 0.89/1.06 exact (zenon_H1b4 zenon_H1af).
% 0.89/1.06 (* end of lemma zenon_L104_ *)
% 0.89/1.06 assert (zenon_L105_ : (~(hskp4)) -> (hskp4) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1b6 zenon_H1b7.
% 0.89/1.06 exact (zenon_H1b6 zenon_H1b7).
% 0.89/1.06 (* end of lemma zenon_L105_ *)
% 0.89/1.06 assert (zenon_L106_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp7))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp7)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1b8 zenon_H1af zenon_H1ae zenon_H1ad zenon_Ha zenon_H1b6 zenon_H45.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b9 ].
% 0.89/1.06 apply (zenon_L104_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H46 ].
% 0.89/1.06 exact (zenon_H1b6 zenon_H1b7).
% 0.89/1.06 exact (zenon_H45 zenon_H46).
% 0.89/1.06 (* end of lemma zenon_L106_ *)
% 0.89/1.06 assert (zenon_L107_ : ((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H47 zenon_H1ba zenon_H60 zenon_H5f zenon_H5e zenon_H1ad zenon_H1ae zenon_H1af.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_Ha. zenon_intro zenon_H49.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H33. zenon_intro zenon_H4a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H34. zenon_intro zenon_H32.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 0.89/1.06 apply (zenon_L16_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 0.89/1.06 apply (zenon_L25_); trivial.
% 0.89/1.06 apply (zenon_L104_); trivial.
% 0.89/1.06 (* end of lemma zenon_L107_ *)
% 0.89/1.06 assert (zenon_L108_ : ((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(hskp0)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H27 zenon_H1bc zenon_H1af zenon_H1ae zenon_H1ad zenon_Hc6.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b | zenon_intro zenon_H1bd ].
% 0.89/1.06 apply (zenon_L10_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1ac | zenon_intro zenon_Hc7 ].
% 0.89/1.06 apply (zenon_L104_); trivial.
% 0.89/1.06 exact (zenon_Hc6 zenon_Hc7).
% 0.89/1.06 (* end of lemma zenon_L108_ *)
% 0.89/1.06 assert (zenon_L109_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H67 zenon_H2c zenon_H1bc zenon_Hc6 zenon_H2f zenon_H25 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H4c.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.89/1.06 apply (zenon_L15_); trivial.
% 0.89/1.06 apply (zenon_L107_); trivial.
% 0.89/1.06 apply (zenon_L108_); trivial.
% 0.89/1.06 (* end of lemma zenon_L109_ *)
% 0.89/1.06 assert (zenon_L110_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> (~(hskp8)) -> (~(hskp12)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H6c zenon_H2c zenon_H1bc zenon_Hc6 zenon_H2f zenon_H25 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H4c zenon_H4d zenon_H1 zenon_H51.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.06 apply (zenon_L23_); trivial.
% 0.89/1.06 apply (zenon_L109_); trivial.
% 0.89/1.06 (* end of lemma zenon_L110_ *)
% 0.89/1.06 assert (zenon_L111_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp24)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1be zenon_H1af zenon_H1ae zenon_H1ad zenon_Ha zenon_H1b6 zenon_H73.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1bf ].
% 0.89/1.06 apply (zenon_L104_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H74 ].
% 0.89/1.06 exact (zenon_H1b6 zenon_H1b7).
% 0.89/1.06 exact (zenon_H73 zenon_H74).
% 0.89/1.06 (* end of lemma zenon_L111_ *)
% 0.89/1.06 assert (zenon_L112_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(hskp22)) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp4)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H9d zenon_H99 zenon_H84 zenon_H96 zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b6 zenon_H1be.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.89/1.06 apply (zenon_L111_); trivial.
% 0.89/1.06 apply (zenon_L39_); trivial.
% 0.89/1.06 (* end of lemma zenon_L112_ *)
% 0.89/1.06 assert (zenon_L113_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(hskp17)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_Hb9 zenon_H1c0 zenon_He zenon_Hd zenon_Hc zenon_H17.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H9e | zenon_intro zenon_H1c1 ].
% 0.89/1.06 apply (zenon_L41_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ].
% 0.89/1.06 apply (zenon_L6_); trivial.
% 0.89/1.06 exact (zenon_H17 zenon_H18).
% 0.89/1.06 (* end of lemma zenon_L113_ *)
% 0.89/1.06 assert (zenon_L114_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp4)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H6d zenon_H2c zenon_H1bc zenon_Hc6 zenon_H9d zenon_H99 zenon_H84 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b6 zenon_H1be zenon_H1c0 zenon_He6.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.06 apply (zenon_L112_); trivial.
% 0.89/1.06 apply (zenon_L113_); trivial.
% 0.89/1.06 apply (zenon_L108_); trivial.
% 0.89/1.06 (* end of lemma zenon_L114_ *)
% 0.89/1.06 assert (zenon_L115_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(hskp2)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H72 zenon_H9d zenon_H99 zenon_H84 zenon_H1b6 zenon_H1be zenon_H1c0 zenon_He6 zenon_H51 zenon_H4d zenon_H4c zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H25 zenon_H2f zenon_Hc6 zenon_H1bc zenon_H2c zenon_H6c.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.89/1.06 apply (zenon_L110_); trivial.
% 0.89/1.06 apply (zenon_L114_); trivial.
% 0.89/1.06 (* end of lemma zenon_L115_ *)
% 0.89/1.06 assert (zenon_L116_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(hskp8)) -> (~(hskp12)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H6c zenon_H145 zenon_H12a zenon_H129 zenon_H128 zenon_H56 zenon_H55 zenon_H54 zenon_H4d zenon_H1 zenon_H51.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.06 apply (zenon_L23_); trivial.
% 0.89/1.06 apply (zenon_L100_); trivial.
% 0.89/1.06 (* end of lemma zenon_L116_ *)
% 0.89/1.06 assert (zenon_L117_ : (~(hskp27)) -> (hskp27) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1c2 zenon_H1c3.
% 0.89/1.06 exact (zenon_H1c2 zenon_H1c3).
% 0.89/1.06 (* end of lemma zenon_L117_ *)
% 0.89/1.06 assert (zenon_L118_ : (~(hskp13)) -> (hskp13) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1c4 zenon_H1c5.
% 0.89/1.06 exact (zenon_H1c4 zenon_H1c5).
% 0.89/1.06 (* end of lemma zenon_L118_ *)
% 0.89/1.06 assert (zenon_L119_ : ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp15)) -> (~(hskp27)) -> (~(hskp13)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1c6 zenon_H11e zenon_H1c2 zenon_H1c4.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H11f | zenon_intro zenon_H1c7 ].
% 0.89/1.06 exact (zenon_H11e zenon_H11f).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c5 ].
% 0.89/1.06 exact (zenon_H1c2 zenon_H1c3).
% 0.89/1.06 exact (zenon_H1c4 zenon_H1c5).
% 0.89/1.06 (* end of lemma zenon_L119_ *)
% 0.89/1.06 assert (zenon_L120_ : (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (c0_1 (a1428)) -> (c2_1 (a1428)) -> (c3_1 (a1428)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_Ha8 zenon_Ha zenon_H1c8 zenon_H1c9 zenon_H1ca.
% 0.89/1.06 generalize (zenon_Ha8 (a1428)). zenon_intro zenon_H1cb.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H1cb); [ zenon_intro zenon_H9 | zenon_intro zenon_H1cc ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ].
% 0.89/1.06 exact (zenon_H1ce zenon_H1c8).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1cf ].
% 0.89/1.06 exact (zenon_H1d0 zenon_H1c9).
% 0.89/1.06 exact (zenon_H1cf zenon_H1ca).
% 0.89/1.06 (* end of lemma zenon_L120_ *)
% 0.89/1.06 assert (zenon_L121_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(hskp11)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1d1 zenon_H1d2 zenon_H1af zenon_H1ae zenon_H1ad zenon_Hc8.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1d5 ].
% 0.89/1.06 apply (zenon_L104_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc9 ].
% 0.89/1.06 apply (zenon_L120_); trivial.
% 0.89/1.06 exact (zenon_Hc8 zenon_Hc9).
% 0.89/1.06 (* end of lemma zenon_L121_ *)
% 0.89/1.06 assert (zenon_L122_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1d6 zenon_H1d2 zenon_Hc8 zenon_H1af zenon_H1ae zenon_H1ad zenon_H11e zenon_H1c4 zenon_H1c6.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 0.89/1.06 apply (zenon_L119_); trivial.
% 0.89/1.06 apply (zenon_L121_); trivial.
% 0.89/1.06 (* end of lemma zenon_L122_ *)
% 0.89/1.06 assert (zenon_L123_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H19f zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H189 zenon_Hde zenon_Hc zenon_Hd zenon_He zenon_H1c0 zenon_He6.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.06 apply (zenon_L92_); trivial.
% 0.89/1.06 apply (zenon_L113_); trivial.
% 0.89/1.06 apply (zenon_L12_); trivial.
% 0.89/1.06 (* end of lemma zenon_L123_ *)
% 0.89/1.06 assert (zenon_L124_ : (forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105)))))) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H105 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9.
% 0.89/1.06 generalize (zenon_H105 (a1449)). zenon_intro zenon_H1da.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H1da); [ zenon_intro zenon_H9 | zenon_intro zenon_H1db ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ].
% 0.89/1.06 exact (zenon_H1d7 zenon_H1dd).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ].
% 0.89/1.06 exact (zenon_H1df zenon_H1d8).
% 0.89/1.06 exact (zenon_H1de zenon_H1d9).
% 0.89/1.06 (* end of lemma zenon_L124_ *)
% 0.89/1.06 assert (zenon_L125_ : ((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(hskp23)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H86 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H11c.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H105 | zenon_intro zenon_H123 ].
% 0.89/1.06 apply (zenon_L124_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H78 | zenon_intro zenon_H11d ].
% 0.89/1.06 apply (zenon_L32_); trivial.
% 0.89/1.06 exact (zenon_H11c zenon_H11d).
% 0.89/1.06 (* end of lemma zenon_L125_ *)
% 0.89/1.06 assert (zenon_L126_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp23)) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H8b zenon_H121 zenon_H11c zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H73 zenon_H75.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 0.89/1.06 apply (zenon_L31_); trivial.
% 0.89/1.06 apply (zenon_L125_); trivial.
% 0.89/1.06 (* end of lemma zenon_L126_ *)
% 0.89/1.06 assert (zenon_L127_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(hskp22)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H98 zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H96.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8c | zenon_intro zenon_H166 ].
% 0.89/1.06 apply (zenon_L37_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ].
% 0.89/1.06 apply (zenon_L6_); trivial.
% 0.89/1.06 exact (zenon_H96 zenon_H97).
% 0.89/1.06 (* end of lemma zenon_L127_ *)
% 0.89/1.06 assert (zenon_L128_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(hskp23)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H9d zenon_H165 zenon_H96 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H11c zenon_H121 zenon_H8b.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.89/1.06 apply (zenon_L126_); trivial.
% 0.89/1.06 apply (zenon_L127_); trivial.
% 0.89/1.06 (* end of lemma zenon_L128_ *)
% 0.89/1.06 assert (zenon_L129_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a1449))) -> (~(c3_1 (a1449))) -> (c2_1 (a1449)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H131 zenon_Ha zenon_H1e0 zenon_H1d7 zenon_H1d9.
% 0.89/1.06 generalize (zenon_H131 (a1449)). zenon_intro zenon_H1e1.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H1e1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e2 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1e3 ].
% 0.89/1.06 exact (zenon_H1e0 zenon_H1e4).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1de ].
% 0.89/1.06 exact (zenon_H1d7 zenon_H1dd).
% 0.89/1.06 exact (zenon_H1de zenon_H1d9).
% 0.89/1.06 (* end of lemma zenon_L129_ *)
% 0.89/1.06 assert (zenon_L130_ : (forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69)))))) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H17b zenon_Ha zenon_H1d7 zenon_H131 zenon_H1d9 zenon_H1d8.
% 0.89/1.06 generalize (zenon_H17b (a1449)). zenon_intro zenon_H1e5.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e6 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1e7 ].
% 0.89/1.06 exact (zenon_H1d7 zenon_H1dd).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 0.89/1.06 apply (zenon_L129_); trivial.
% 0.89/1.06 exact (zenon_H1df zenon_H1d8).
% 0.89/1.06 (* end of lemma zenon_L130_ *)
% 0.89/1.06 assert (zenon_L131_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74)))))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1e8 zenon_H56 zenon_H55 zenon_H8c zenon_H1d8 zenon_H1d9 zenon_H131 zenon_H1d7 zenon_Ha zenon_H4d.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H154 | zenon_intro zenon_H1e9 ].
% 0.89/1.06 apply (zenon_L82_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17b | zenon_intro zenon_H4e ].
% 0.89/1.06 apply (zenon_L130_); trivial.
% 0.89/1.06 exact (zenon_H4d zenon_H4e).
% 0.89/1.06 (* end of lemma zenon_L131_ *)
% 0.89/1.06 assert (zenon_L132_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1438)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (ndr1_0) -> (~(hskp22)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H165 zenon_H56 zenon_H154 zenon_H55 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H96.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8c | zenon_intro zenon_H166 ].
% 0.89/1.06 apply (zenon_L82_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ].
% 0.89/1.06 apply (zenon_L6_); trivial.
% 0.89/1.06 exact (zenon_H96 zenon_H97).
% 0.89/1.06 (* end of lemma zenon_L132_ *)
% 0.89/1.06 assert (zenon_L133_ : ((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c2_1 (a1504)) -> (c1_1 (a1504)) -> (~(c0_1 (a1504))) -> (~(hskp14)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H144 zenon_H142 zenon_H34 zenon_H33 zenon_H32 zenon_H4f.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H134. zenon_intro zenon_H147.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H132. zenon_intro zenon_H133.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 0.89/1.06 apply (zenon_L71_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 0.89/1.06 apply (zenon_L16_); trivial.
% 0.89/1.06 exact (zenon_H4f zenon_H50).
% 0.89/1.06 (* end of lemma zenon_L133_ *)
% 0.89/1.06 assert (zenon_L134_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(hskp2)) -> (~(hskp17)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H168 zenon_H4c zenon_H149 zenon_H101 zenon_Hc6 zenon_H142 zenon_H4f zenon_H1e8 zenon_H4d zenon_H56 zenon_H55 zenon_H177 zenon_H199 zenon_H124 zenon_H25 zenon_H17 zenon_H2f zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H96 zenon_H165 zenon_H9d.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.89/1.06 apply (zenon_L128_); trivial.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.89/1.06 apply (zenon_L15_); trivial.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_Ha. zenon_intro zenon_H49.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H33. zenon_intro zenon_H4a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H34. zenon_intro zenon_H32.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H102 | zenon_intro zenon_H125 ].
% 0.89/1.06 apply (zenon_L63_); trivial.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10e. zenon_intro zenon_H127.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H110. zenon_intro zenon_H10f.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.89/1.06 apply (zenon_L76_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 0.89/1.06 apply (zenon_L131_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 0.89/1.06 apply (zenon_L132_); trivial.
% 0.89/1.06 apply (zenon_L65_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 0.89/1.06 apply (zenon_L16_); trivial.
% 0.89/1.06 exact (zenon_H4f zenon_H50).
% 0.89/1.06 apply (zenon_L6_); trivial.
% 0.89/1.06 apply (zenon_L133_); trivial.
% 0.89/1.06 (* end of lemma zenon_L134_ *)
% 0.89/1.06 assert (zenon_L135_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(hskp2)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H2c zenon_H1bc zenon_H1af zenon_H1ae zenon_H1ad zenon_H168 zenon_H4c zenon_H149 zenon_H101 zenon_Hc6 zenon_H142 zenon_H4f zenon_H1e8 zenon_H4d zenon_H56 zenon_H55 zenon_H177 zenon_H199 zenon_H124 zenon_H25 zenon_H2f zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H9d zenon_H1c0 zenon_He6.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.06 apply (zenon_L134_); trivial.
% 0.89/1.06 apply (zenon_L113_); trivial.
% 0.89/1.06 apply (zenon_L108_); trivial.
% 0.89/1.06 (* end of lemma zenon_L135_ *)
% 0.89/1.06 assert (zenon_L136_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(hskp8)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((hskp25)\/((hskp2)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1a2 zenon_H1a3 zenon_Hfa zenon_H6c zenon_H145 zenon_H56 zenon_H55 zenon_H54 zenon_H4d zenon_H51 zenon_H1a4 zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H189 zenon_Hde zenon_H1c0 zenon_He6 zenon_H1c6 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H1d6 zenon_H1bc zenon_H168 zenon_H4c zenon_H149 zenon_H101 zenon_Hc6 zenon_H142 zenon_H1e8 zenon_H177 zenon_H199 zenon_H124 zenon_H2f zenon_H8b zenon_H121 zenon_H75 zenon_H165 zenon_H9d zenon_H1ea zenon_H72.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.89/1.06 apply (zenon_L116_); trivial.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.89/1.06 apply (zenon_L122_); trivial.
% 0.89/1.06 apply (zenon_L123_); trivial.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.06 apply (zenon_L135_); trivial.
% 0.89/1.06 apply (zenon_L100_); trivial.
% 0.89/1.06 apply (zenon_L101_); trivial.
% 0.89/1.06 (* end of lemma zenon_L136_ *)
% 0.89/1.06 assert (zenon_L137_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> (~(hskp8)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1a8 zenon_H1a3 zenon_Hfa zenon_H145 zenon_H56 zenon_H55 zenon_H54 zenon_H1a4 zenon_H28 zenon_H5 zenon_H189 zenon_Hde zenon_H1c6 zenon_H1d2 zenon_H1d6 zenon_H168 zenon_H149 zenon_H101 zenon_H142 zenon_H1e8 zenon_H177 zenon_H199 zenon_H124 zenon_H8b zenon_H121 zenon_H75 zenon_H165 zenon_H1ea zenon_H6c zenon_H2c zenon_H1bc zenon_Hc6 zenon_H2f zenon_H25 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H4c zenon_H4d zenon_H51 zenon_He6 zenon_H1c0 zenon_H1be zenon_H1b6 zenon_H99 zenon_H9d zenon_H72.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 0.89/1.06 apply (zenon_L115_); trivial.
% 0.89/1.06 apply (zenon_L136_); trivial.
% 0.89/1.06 (* end of lemma zenon_L137_ *)
% 0.89/1.06 assert (zenon_L138_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_Ha8 zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H16f.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.06 apply (zenon_L88_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.06 apply (zenon_L87_); trivial.
% 0.89/1.06 exact (zenon_H16f zenon_H170).
% 0.89/1.06 (* end of lemma zenon_L138_ *)
% 0.89/1.06 assert (zenon_L139_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp20)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp18)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_Hb9 zenon_Hb7 zenon_H16f zenon_H17c zenon_H17d zenon_H17e zenon_Ha9 zenon_H160 zenon_Hab zenon_H187 zenon_Hb5.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.89/1.06 apply (zenon_L41_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.89/1.06 apply (zenon_L138_); trivial.
% 0.89/1.06 exact (zenon_Hb5 zenon_Hb6).
% 0.89/1.06 (* end of lemma zenon_L139_ *)
% 0.89/1.06 assert (zenon_L140_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H19e zenon_H199 zenon_H189 zenon_Hde zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hb5 zenon_Hb7 zenon_He6.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.06 apply (zenon_L92_); trivial.
% 0.89/1.06 apply (zenon_L139_); trivial.
% 0.89/1.06 apply (zenon_L97_); trivial.
% 0.89/1.06 (* end of lemma zenon_L140_ *)
% 0.89/1.06 assert (zenon_L141_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (ndr1_0) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74)))))) -> (~(hskp11)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1d2 zenon_H1af zenon_H1ae zenon_H1ad zenon_Hab zenon_Ha9 zenon_H160 zenon_Ha zenon_H8c zenon_Hc8.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1d5 ].
% 0.89/1.06 apply (zenon_L104_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc9 ].
% 0.89/1.06 apply (zenon_L79_); trivial.
% 0.89/1.06 exact (zenon_Hc8 zenon_Hc9).
% 0.89/1.06 (* end of lemma zenon_L141_ *)
% 0.89/1.06 assert (zenon_L142_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp11)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H185 zenon_Hc8 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H14a zenon_H18c zenon_H18d zenon_H194.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 0.89/1.06 apply (zenon_L141_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 0.89/1.06 apply (zenon_L87_); trivial.
% 0.89/1.06 apply (zenon_L94_); trivial.
% 0.89/1.06 (* end of lemma zenon_L142_ *)
% 0.89/1.06 assert (zenon_L143_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H154 zenon_Ha zenon_H18c zenon_H18d zenon_H194.
% 0.89/1.06 generalize (zenon_H154 (a1465)). zenon_intro zenon_H1ee.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H1ee); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ef ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H193 | zenon_intro zenon_H197 ].
% 0.89/1.06 exact (zenon_H18c zenon_H193).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H192 | zenon_intro zenon_H198 ].
% 0.89/1.06 exact (zenon_H192 zenon_H18d).
% 0.89/1.06 exact (zenon_H198 zenon_H194).
% 0.89/1.06 (* end of lemma zenon_L143_ *)
% 0.89/1.06 assert (zenon_L144_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (ndr1_0) -> (~(hskp22)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H167 zenon_H17c zenon_H17d zenon_H17e zenon_H1d2 zenon_H1af zenon_H1ae zenon_H1ad zenon_Hc8 zenon_H185 zenon_H194 zenon_H18d zenon_H18c zenon_H165 zenon_H160 zenon_Hab zenon_Ha9 zenon_Ha zenon_H96.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.89/1.06 apply (zenon_L142_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.89/1.06 apply (zenon_L143_); trivial.
% 0.89/1.06 apply (zenon_L80_); trivial.
% 0.89/1.06 (* end of lemma zenon_L144_ *)
% 0.89/1.06 assert (zenon_L145_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_Hc6 zenon_Hde zenon_He0 zenon_H185 zenon_H17e zenon_H17d zenon_H17c zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_Hc8 zenon_H1d2 zenon_H165 zenon_H167.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.06 apply (zenon_L144_); trivial.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.89/1.06 apply (zenon_L142_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.89/1.06 apply (zenon_L41_); trivial.
% 0.89/1.06 apply (zenon_L54_); trivial.
% 0.89/1.06 (* end of lemma zenon_L145_ *)
% 0.89/1.06 assert (zenon_L146_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1a4 zenon_He5 zenon_Hc6 zenon_He0 zenon_H165 zenon_H167 zenon_H8b zenon_H178 zenon_H56 zenon_H55 zenon_H177 zenon_H75 zenon_H185 zenon_H9d zenon_He6 zenon_Hb7 zenon_Ha9 zenon_H160 zenon_Hab zenon_H187 zenon_Hde zenon_H189 zenon_H199 zenon_H19e zenon_H1c6 zenon_H1c4 zenon_H1ad zenon_H1ae zenon_H1af zenon_Hc8 zenon_H1d2 zenon_H1d6.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.89/1.06 apply (zenon_L122_); trivial.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.89/1.06 apply (zenon_L140_); trivial.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.06 apply (zenon_L91_); trivial.
% 0.89/1.06 apply (zenon_L145_); trivial.
% 0.89/1.06 (* end of lemma zenon_L146_ *)
% 0.89/1.06 assert (zenon_L147_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(hskp22)) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(hskp23)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H9d zenon_H99 zenon_H84 zenon_H96 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H11c zenon_H121 zenon_H8b.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.89/1.06 apply (zenon_L126_); trivial.
% 0.89/1.06 apply (zenon_L39_); trivial.
% 0.89/1.06 (* end of lemma zenon_L147_ *)
% 0.89/1.06 assert (zenon_L148_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H154 zenon_H1d8 zenon_H1d9 zenon_H131 zenon_H1d7 zenon_Ha zenon_H16f.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.06 apply (zenon_L85_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.06 apply (zenon_L130_); trivial.
% 0.89/1.06 exact (zenon_H16f zenon_H170).
% 0.89/1.06 (* end of lemma zenon_L148_ *)
% 0.89/1.06 assert (zenon_L149_ : (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c0_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H31 zenon_Ha zenon_H1e0 zenon_H1d8 zenon_H1d9.
% 0.89/1.06 generalize (zenon_H31 (a1449)). zenon_intro zenon_H1f0.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H1f0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f1 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1dc ].
% 0.89/1.06 exact (zenon_H1e0 zenon_H1e4).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ].
% 0.89/1.06 exact (zenon_H1df zenon_H1d8).
% 0.89/1.06 exact (zenon_H1de zenon_H1d9).
% 0.89/1.06 (* end of lemma zenon_L149_ *)
% 0.89/1.06 assert (zenon_L150_ : (forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69)))))) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H17b zenon_Ha zenon_H1d7 zenon_H31 zenon_H1d8 zenon_H1d9.
% 0.89/1.06 generalize (zenon_H17b (a1449)). zenon_intro zenon_H1e5.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e6 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1e7 ].
% 0.89/1.06 exact (zenon_H1d7 zenon_H1dd).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 0.89/1.06 apply (zenon_L149_); trivial.
% 0.89/1.06 exact (zenon_H1df zenon_H1d8).
% 0.89/1.06 (* end of lemma zenon_L150_ *)
% 0.89/1.06 assert (zenon_L151_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H154 zenon_H1d9 zenon_H1d8 zenon_H31 zenon_H1d7 zenon_Ha zenon_H16f.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.06 apply (zenon_L85_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.06 apply (zenon_L150_); trivial.
% 0.89/1.06 exact (zenon_H16f zenon_H170).
% 0.89/1.06 (* end of lemma zenon_L151_ *)
% 0.89/1.06 assert (zenon_L152_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp20)) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp14)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H142 zenon_H16f zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H154 zenon_H160 zenon_Ha9 zenon_Hab zenon_H187 zenon_H4f.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 0.89/1.06 apply (zenon_L148_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 0.89/1.06 apply (zenon_L151_); trivial.
% 0.89/1.06 exact (zenon_H4f zenon_H50).
% 0.89/1.06 (* end of lemma zenon_L152_ *)
% 0.89/1.06 assert (zenon_L153_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(hskp20)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(hskp22)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H169 zenon_H167 zenon_H4f zenon_H187 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H16f zenon_H142 zenon_H165 zenon_H160 zenon_Hab zenon_Ha9 zenon_H96.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.89/1.06 apply (zenon_L76_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.89/1.06 apply (zenon_L152_); trivial.
% 0.89/1.06 apply (zenon_L80_); trivial.
% 0.89/1.06 (* end of lemma zenon_L153_ *)
% 0.89/1.06 assert (zenon_L154_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(hskp22)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_H16f zenon_Hab zenon_Ha9 zenon_H160 zenon_H4f zenon_H142 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H96 zenon_H84 zenon_H99 zenon_H9d.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.89/1.06 apply (zenon_L147_); trivial.
% 0.89/1.06 apply (zenon_L153_); trivial.
% 0.89/1.06 (* end of lemma zenon_L154_ *)
% 0.89/1.06 assert (zenon_L155_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (c1_1 (a1483)) -> (c2_1 (a1483)) -> (c3_1 (a1483)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1f2 zenon_Ha zenon_H10e zenon_H110 zenon_H10f.
% 0.89/1.06 generalize (zenon_H1f2 (a1483)). zenon_intro zenon_H1f3.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f4 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H11a | zenon_intro zenon_H1f5 ].
% 0.89/1.06 exact (zenon_H11a zenon_H10e).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H11b | zenon_intro zenon_H119 ].
% 0.89/1.06 exact (zenon_H11b zenon_H110).
% 0.89/1.06 exact (zenon_H119 zenon_H10f).
% 0.89/1.06 (* end of lemma zenon_L155_ *)
% 0.89/1.06 assert (zenon_L156_ : (~(hskp28)) -> (hskp28) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1f6 zenon_H1f7.
% 0.89/1.06 exact (zenon_H1f6 zenon_H1f7).
% 0.89/1.06 (* end of lemma zenon_L156_ *)
% 0.89/1.06 assert (zenon_L157_ : ((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp28)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H125 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1f6.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10e. zenon_intro zenon_H127.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H110. zenon_intro zenon_H10f.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ].
% 0.89/1.06 generalize (zenon_H1fa (a1441)). zenon_intro zenon_H1fb.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H1fb); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fc ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H164 | zenon_intro zenon_Hb4 ].
% 0.89/1.06 exact (zenon_H160 zenon_H164).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb0 ].
% 0.89/1.06 exact (zenon_Haf zenon_Ha9).
% 0.89/1.06 exact (zenon_Hb0 zenon_Hab).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f7 ].
% 0.89/1.06 apply (zenon_L155_); trivial.
% 0.89/1.06 exact (zenon_H1f6 zenon_H1f7).
% 0.89/1.06 (* end of lemma zenon_L157_ *)
% 0.89/1.06 assert (zenon_L158_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> (~(hskp26)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H124 zenon_H1f8 zenon_H1f6 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_Hff zenon_H101.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H102 | zenon_intro zenon_H125 ].
% 0.89/1.06 apply (zenon_L63_); trivial.
% 0.89/1.06 apply (zenon_L157_); trivial.
% 0.89/1.06 (* end of lemma zenon_L158_ *)
% 0.89/1.06 assert (zenon_L159_ : (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (c0_1 (a1456)) -> (c1_1 (a1456)) -> (c3_1 (a1456)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H1fd zenon_Ha zenon_H1fe zenon_H1ff zenon_H200.
% 0.89/1.06 generalize (zenon_H1fd (a1456)). zenon_intro zenon_H201.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H201); [ zenon_intro zenon_H9 | zenon_intro zenon_H202 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H204 | zenon_intro zenon_H203 ].
% 0.89/1.06 exact (zenon_H204 zenon_H1fe).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H206 | zenon_intro zenon_H205 ].
% 0.89/1.06 exact (zenon_H206 zenon_H1ff).
% 0.89/1.06 exact (zenon_H205 zenon_H200).
% 0.89/1.06 (* end of lemma zenon_L159_ *)
% 0.89/1.06 assert (zenon_L160_ : (~(hskp6)) -> (hskp6) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H207 zenon_H208.
% 0.89/1.06 exact (zenon_H207 zenon_H208).
% 0.89/1.06 (* end of lemma zenon_L160_ *)
% 0.89/1.06 assert (zenon_L161_ : ((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c3_1 (a1487)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> (~(hskp6)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H209 zenon_H20a zenon_H8f zenon_H8e zenon_H8d zenon_H207.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H8c | zenon_intro zenon_H20d ].
% 0.89/1.06 apply (zenon_L37_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1fd | zenon_intro zenon_H208 ].
% 0.89/1.06 apply (zenon_L159_); trivial.
% 0.89/1.06 exact (zenon_H207 zenon_H208).
% 0.89/1.06 (* end of lemma zenon_L161_ *)
% 0.89/1.06 assert (zenon_L162_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1487)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp26)) -> (~(hskp0)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H20e zenon_H20a zenon_H207 zenon_H8f zenon_H8e zenon_H8d zenon_H101 zenon_Hff zenon_Hc6 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1f8 zenon_H124.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.89/1.06 apply (zenon_L158_); trivial.
% 0.89/1.06 apply (zenon_L161_); trivial.
% 0.89/1.06 (* end of lemma zenon_L162_ *)
% 0.89/1.06 assert (zenon_L163_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(hskp18)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H169 zenon_H199 zenon_Hb7 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_Hab zenon_Ha9 zenon_Hb5.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.89/1.06 apply (zenon_L76_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.89/1.06 apply (zenon_L41_); trivial.
% 0.89/1.06 apply (zenon_L45_); trivial.
% 0.89/1.06 (* end of lemma zenon_L163_ *)
% 0.89/1.06 assert (zenon_L164_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(hskp22)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H169 zenon_H167 zenon_H194 zenon_H18d zenon_H18c zenon_H165 zenon_H160 zenon_Hab zenon_Ha9 zenon_H96.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.89/1.06 apply (zenon_L76_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.89/1.06 apply (zenon_L143_); trivial.
% 0.89/1.06 apply (zenon_L80_); trivial.
% 0.89/1.06 (* end of lemma zenon_L164_ *)
% 0.89/1.06 assert (zenon_L165_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_Hb5 zenon_Hb7 zenon_H9d zenon_H99 zenon_H84 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H165 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H168.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.89/1.06 apply (zenon_L147_); trivial.
% 0.89/1.06 apply (zenon_L164_); trivial.
% 0.89/1.06 apply (zenon_L96_); trivial.
% 0.89/1.06 (* end of lemma zenon_L165_ *)
% 0.89/1.06 assert (zenon_L166_ : (forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69)))))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H17b zenon_Ha zenon_Hb zenon_Hcf zenon_Hd0 zenon_Hd9.
% 0.89/1.06 generalize (zenon_H17b (a1458)). zenon_intro zenon_H20f.
% 0.89/1.06 apply (zenon_imply_s _ _ zenon_H20f); [ zenon_intro zenon_H9 | zenon_intro zenon_H210 ].
% 0.89/1.06 exact (zenon_H9 zenon_Ha).
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H211 ].
% 0.89/1.06 apply (zenon_L51_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hdd ].
% 0.89/1.06 exact (zenon_Hd7 zenon_Hd0).
% 0.89/1.06 exact (zenon_Hdd zenon_Hd9).
% 0.89/1.06 (* end of lemma zenon_L166_ *)
% 0.89/1.06 assert (zenon_L167_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp11)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (ndr1_0) -> (forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69)))))) -> (~(hskp22)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H165 zenon_Hc8 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Ha zenon_H17b zenon_H96.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8c | zenon_intro zenon_H166 ].
% 0.89/1.06 apply (zenon_L141_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ].
% 0.89/1.06 apply (zenon_L166_); trivial.
% 0.89/1.06 exact (zenon_H96 zenon_H97).
% 0.89/1.06 (* end of lemma zenon_L167_ *)
% 0.89/1.06 assert (zenon_L168_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(hskp22)) -> False).
% 0.89/1.06 do 0 intro. intros zenon_H98 zenon_H185 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H1d2 zenon_H1af zenon_H1ae zenon_H1ad zenon_Hc8 zenon_H165 zenon_H160 zenon_Hab zenon_Ha9 zenon_H96.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.89/1.06 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 0.89/1.06 apply (zenon_L37_); trivial.
% 0.89/1.06 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 0.89/1.06 apply (zenon_L167_); trivial.
% 0.89/1.06 apply (zenon_L80_); trivial.
% 0.89/1.06 (* end of lemma zenon_L168_ *)
% 0.89/1.06 assert (zenon_L169_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(hskp23)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H9d zenon_H185 zenon_H1d2 zenon_Hc8 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1af zenon_H1ae zenon_H1ad zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H96 zenon_H165 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H11c zenon_H121 zenon_H8b.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.89/1.07 apply (zenon_L126_); trivial.
% 0.89/1.07 apply (zenon_L168_); trivial.
% 0.89/1.07 (* end of lemma zenon_L169_ *)
% 0.89/1.07 assert (zenon_L170_ : (forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38)))))) -> (ndr1_0) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H212 zenon_Ha zenon_Hcf zenon_Hd0 zenon_Hd9.
% 0.89/1.07 generalize (zenon_H212 (a1458)). zenon_intro zenon_H213.
% 0.89/1.07 apply (zenon_imply_s _ _ zenon_H213); [ zenon_intro zenon_H9 | zenon_intro zenon_H214 ].
% 0.89/1.07 exact (zenon_H9 zenon_Ha).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H211 ].
% 0.89/1.07 exact (zenon_Hcf zenon_Hd5).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hdd ].
% 0.89/1.07 exact (zenon_Hd7 zenon_Hd0).
% 0.89/1.07 exact (zenon_Hdd zenon_Hd9).
% 0.89/1.07 (* end of lemma zenon_L170_ *)
% 0.89/1.07 assert (zenon_L171_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (ndr1_0) -> (~(hskp28)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H215 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Ha zenon_H1f6.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H9e | zenon_intro zenon_H216 ].
% 0.89/1.07 apply (zenon_L41_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H212 | zenon_intro zenon_H1f7 ].
% 0.89/1.07 apply (zenon_L170_); trivial.
% 0.89/1.07 exact (zenon_H1f6 zenon_H1f7).
% 0.89/1.07 (* end of lemma zenon_L171_ *)
% 0.89/1.07 assert (zenon_L172_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1468))) -> (c1_1 (a1468)) -> (c3_1 (a1468)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H98 zenon_H20e zenon_H20a zenon_H207 zenon_H9f zenon_Ha0 zenon_Ha1 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.89/1.07 apply (zenon_L171_); trivial.
% 0.89/1.07 apply (zenon_L161_); trivial.
% 0.89/1.07 (* end of lemma zenon_L172_ *)
% 0.89/1.07 assert (zenon_L173_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1468))) -> (c1_1 (a1468)) -> (c3_1 (a1468)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(hskp23)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H9d zenon_H20e zenon_H20a zenon_H207 zenon_H9f zenon_Ha0 zenon_Ha1 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H11c zenon_H121 zenon_H8b.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.89/1.07 apply (zenon_L126_); trivial.
% 0.89/1.07 apply (zenon_L172_); trivial.
% 0.89/1.07 (* end of lemma zenon_L173_ *)
% 0.89/1.07 assert (zenon_L174_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H154 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Hb zenon_Ha zenon_H16f.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.07 apply (zenon_L85_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.07 apply (zenon_L166_); trivial.
% 0.89/1.07 exact (zenon_H16f zenon_H170).
% 0.89/1.07 (* end of lemma zenon_L174_ *)
% 0.89/1.07 assert (zenon_L175_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (~(c1_1 (a1441))) -> (c3_1 (a1456)) -> (c1_1 (a1456)) -> (c0_1 (a1456)) -> (ndr1_0) -> (~(hskp6)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H20a zenon_Hab zenon_Ha9 zenon_Ha8 zenon_H160 zenon_H200 zenon_H1ff zenon_H1fe zenon_Ha zenon_H207.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H8c | zenon_intro zenon_H20d ].
% 0.89/1.07 apply (zenon_L79_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1fd | zenon_intro zenon_H208 ].
% 0.89/1.07 apply (zenon_L159_); trivial.
% 0.89/1.07 exact (zenon_H207 zenon_H208).
% 0.89/1.07 (* end of lemma zenon_L175_ *)
% 0.89/1.07 assert (zenon_L176_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1468))) -> (c1_1 (a1468)) -> (c3_1 (a1468)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H169 zenon_H20e zenon_H199 zenon_H187 zenon_H16f zenon_Hab zenon_Ha9 zenon_H160 zenon_H20a zenon_H207 zenon_H167 zenon_H9f zenon_Ha0 zenon_Ha1 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.89/1.07 apply (zenon_L171_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.89/1.07 apply (zenon_L76_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.89/1.07 apply (zenon_L41_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.89/1.07 apply (zenon_L76_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.89/1.07 apply (zenon_L174_); trivial.
% 0.89/1.07 apply (zenon_L175_); trivial.
% 0.89/1.07 (* end of lemma zenon_L176_ *)
% 0.89/1.07 assert (zenon_L177_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_H187 zenon_H16f zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H207 zenon_H20a zenon_H20e zenon_H9d.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.89/1.07 apply (zenon_L173_); trivial.
% 0.89/1.07 apply (zenon_L176_); trivial.
% 0.89/1.07 (* end of lemma zenon_L177_ *)
% 0.89/1.07 assert (zenon_L178_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_He6 zenon_H199 zenon_H215 zenon_H207 zenon_H20a zenon_H20e zenon_H9d zenon_H185 zenon_H1d2 zenon_Hc8 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1af zenon_H1ae zenon_H1ad zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H165 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H142 zenon_H4f zenon_H16f zenon_H187 zenon_H167 zenon_H168.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.89/1.07 apply (zenon_L169_); trivial.
% 0.89/1.07 apply (zenon_L153_); trivial.
% 0.89/1.07 apply (zenon_L177_); trivial.
% 0.89/1.07 (* end of lemma zenon_L178_ *)
% 0.89/1.07 assert (zenon_L179_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H168 zenon_H167 zenon_H194 zenon_H18d zenon_H18c zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H165 zenon_H96 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_Hc8 zenon_H1d2 zenon_H185 zenon_H9d.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.89/1.07 apply (zenon_L169_); trivial.
% 0.89/1.07 apply (zenon_L164_); trivial.
% 0.89/1.07 (* end of lemma zenon_L179_ *)
% 0.89/1.07 assert (zenon_L180_ : ((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> (~(hskp25)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H209 zenon_H217 zenon_Hc6 zenon_H2d.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fd | zenon_intro zenon_H218 ].
% 0.89/1.07 apply (zenon_L159_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H2e ].
% 0.89/1.07 exact (zenon_Hc6 zenon_Hc7).
% 0.89/1.07 exact (zenon_H2d zenon_H2e).
% 0.89/1.07 (* end of lemma zenon_L180_ *)
% 0.89/1.07 assert (zenon_L181_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp25)) -> (~(hskp0)) -> (ndr1_0) -> (~(c0_1 (a1468))) -> (c1_1 (a1468)) -> (c3_1 (a1468)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H20e zenon_H217 zenon_H2d zenon_Hc6 zenon_Ha zenon_H9f zenon_Ha0 zenon_Ha1 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.89/1.07 apply (zenon_L171_); trivial.
% 0.89/1.07 apply (zenon_L180_); trivial.
% 0.89/1.07 (* end of lemma zenon_L181_ *)
% 0.89/1.07 assert (zenon_L182_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (c2_1 (a1449)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H219 zenon_H194 zenon_H18d zenon_H18c zenon_H1d9 zenon_H131 zenon_H1d7 zenon_Ha zenon_H11c.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H154 | zenon_intro zenon_H21a ].
% 0.89/1.07 apply (zenon_L143_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H21b | zenon_intro zenon_H11d ].
% 0.89/1.07 generalize (zenon_H21b (a1449)). zenon_intro zenon_H21c.
% 0.89/1.07 apply (zenon_imply_s _ _ zenon_H21c); [ zenon_intro zenon_H9 | zenon_intro zenon_H21d ].
% 0.89/1.07 exact (zenon_H9 zenon_Ha).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1dd | zenon_intro zenon_H21e ].
% 0.89/1.07 exact (zenon_H1d7 zenon_H1dd).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1de ].
% 0.89/1.07 apply (zenon_L129_); trivial.
% 0.89/1.07 exact (zenon_H1de zenon_H1d9).
% 0.89/1.07 exact (zenon_H11c zenon_H11d).
% 0.89/1.07 (* end of lemma zenon_L182_ *)
% 0.89/1.07 assert (zenon_L183_ : ((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp23)) -> (~(c3_1 (a1449))) -> (c2_1 (a1449)) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(hskp14)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H47 zenon_H142 zenon_H11c zenon_H1d7 zenon_H1d9 zenon_H18c zenon_H18d zenon_H194 zenon_H219 zenon_H4f.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_Ha. zenon_intro zenon_H49.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H33. zenon_intro zenon_H4a.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H34. zenon_intro zenon_H32.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 0.89/1.07 apply (zenon_L182_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 0.89/1.07 apply (zenon_L16_); trivial.
% 0.89/1.07 exact (zenon_H4f zenon_H50).
% 0.89/1.07 (* end of lemma zenon_L183_ *)
% 0.89/1.07 assert (zenon_L184_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H194 zenon_H18d zenon_H18c zenon_Hb zenon_Ha zenon_Ha9 zenon_Hab.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.89/1.07 apply (zenon_L76_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.89/1.07 apply (zenon_L143_); trivial.
% 0.89/1.07 apply (zenon_L43_); trivial.
% 0.89/1.07 (* end of lemma zenon_L184_ *)
% 0.89/1.07 assert (zenon_L185_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H169 zenon_H199 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_H167 zenon_H194 zenon_H18d zenon_H18c zenon_Ha9 zenon_Hab.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.89/1.07 apply (zenon_L76_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.89/1.07 apply (zenon_L41_); trivial.
% 0.89/1.07 apply (zenon_L184_); trivial.
% 0.89/1.07 (* end of lemma zenon_L185_ *)
% 0.89/1.07 assert (zenon_L186_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1449)) -> (~(c3_1 (a1449))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_Ha9 zenon_Hab zenon_H167 zenon_H20e zenon_H217 zenon_Hc6 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215 zenon_H219 zenon_H1d9 zenon_H1d7 zenon_H194 zenon_H18d zenon_H18c zenon_H4f zenon_H142 zenon_H4c.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.89/1.07 apply (zenon_L181_); trivial.
% 0.89/1.07 apply (zenon_L183_); trivial.
% 0.89/1.07 apply (zenon_L185_); trivial.
% 0.89/1.07 (* end of lemma zenon_L186_ *)
% 0.89/1.07 assert (zenon_L187_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_H20e zenon_H217 zenon_Hc6 zenon_H215 zenon_H219 zenon_H4f zenon_H142 zenon_H4c zenon_H9d zenon_H185 zenon_H1d2 zenon_Hc8 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1af zenon_H1ae zenon_H1ad zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H165 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H167 zenon_H168.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.07 apply (zenon_L179_); trivial.
% 0.89/1.07 apply (zenon_L186_); trivial.
% 0.89/1.07 (* end of lemma zenon_L187_ *)
% 0.89/1.07 assert (zenon_L188_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_He2 zenon_H19e zenon_H217 zenon_Hc6 zenon_H219 zenon_H4c zenon_H168 zenon_H167 zenon_H187 zenon_H4f zenon_H142 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H165 zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_Hc8 zenon_H1d2 zenon_H185 zenon_H9d zenon_H20e zenon_H20a zenon_H207 zenon_H215 zenon_H199 zenon_He6.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.07 apply (zenon_L178_); trivial.
% 0.89/1.07 apply (zenon_L187_); trivial.
% 0.89/1.07 (* end of lemma zenon_L188_ *)
% 0.89/1.07 assert (zenon_L189_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(hskp0)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H1ea zenon_H6c zenon_H1ba zenon_H217 zenon_H219 zenon_H215 zenon_H2f zenon_H25 zenon_H20e zenon_H20a zenon_H207 zenon_H101 zenon_H1f8 zenon_H124 zenon_H149 zenon_H4c zenon_H99 zenon_H84 zenon_H121 zenon_H142 zenon_H168 zenon_H1bc zenon_H2c zenon_H1d6 zenon_H1d2 zenon_Hc8 zenon_H1af zenon_H1ae zenon_H1ad zenon_H1c6 zenon_H19e zenon_H199 zenon_H189 zenon_Hde zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hb7 zenon_He6 zenon_H9d zenon_H185 zenon_H75 zenon_H177 zenon_H55 zenon_H56 zenon_H178 zenon_H8b zenon_H167 zenon_H165 zenon_He0 zenon_Hc6 zenon_He5 zenon_H1a4.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.89/1.07 apply (zenon_L146_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.07 apply (zenon_L154_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.89/1.07 apply (zenon_L126_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.89/1.07 apply (zenon_L15_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_Ha. zenon_intro zenon_H49.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H33. zenon_intro zenon_H4a.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H34. zenon_intro zenon_H32.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.89/1.07 apply (zenon_L162_); trivial.
% 0.89/1.07 apply (zenon_L133_); trivial.
% 0.89/1.07 apply (zenon_L163_); trivial.
% 0.89/1.07 apply (zenon_L165_); trivial.
% 0.89/1.07 apply (zenon_L188_); trivial.
% 0.89/1.07 apply (zenon_L108_); trivial.
% 0.89/1.07 apply (zenon_L109_); trivial.
% 0.89/1.07 (* end of lemma zenon_L189_ *)
% 0.89/1.07 assert (zenon_L190_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(hskp23)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H9d zenon_H149 zenon_H145 zenon_H4f zenon_H142 zenon_H12a zenon_H129 zenon_H128 zenon_H56 zenon_H55 zenon_H54 zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H207 zenon_H20a zenon_H20e zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H11c zenon_H121 zenon_H8b.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.89/1.07 apply (zenon_L126_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.89/1.07 apply (zenon_L162_); trivial.
% 0.89/1.07 apply (zenon_L74_); trivial.
% 0.89/1.07 (* end of lemma zenon_L190_ *)
% 0.89/1.07 assert (zenon_L191_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(c1_1 (a1441))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(hskp20)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H169 zenon_H199 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_H167 zenon_H4f zenon_H187 zenon_H160 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H16f zenon_H142 zenon_Ha9 zenon_Hab.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.89/1.07 apply (zenon_L76_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.89/1.07 apply (zenon_L41_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.89/1.07 apply (zenon_L76_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.89/1.07 apply (zenon_L152_); trivial.
% 0.89/1.07 apply (zenon_L43_); trivial.
% 0.89/1.07 (* end of lemma zenon_L191_ *)
% 0.89/1.07 assert (zenon_L192_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp25)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp26)) -> (~(hskp0)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H20e zenon_H217 zenon_H2d zenon_H101 zenon_Hff zenon_Hc6 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1f8 zenon_H124.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.89/1.07 apply (zenon_L158_); trivial.
% 0.89/1.07 apply (zenon_L180_); trivial.
% 0.89/1.07 (* end of lemma zenon_L192_ *)
% 0.89/1.07 assert (zenon_L193_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a1487))) -> (~(c1_1 (a1487))) -> (c3_1 (a1487)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H53 zenon_Ha zenon_H21f zenon_H8d zenon_H8f.
% 0.89/1.07 generalize (zenon_H53 (a1487)). zenon_intro zenon_H220.
% 0.89/1.07 apply (zenon_imply_s _ _ zenon_H220); [ zenon_intro zenon_H9 | zenon_intro zenon_H221 ].
% 0.89/1.07 exact (zenon_H9 zenon_Ha).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H223 | zenon_intro zenon_H222 ].
% 0.89/1.07 exact (zenon_H21f zenon_H223).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H93 | zenon_intro zenon_H94 ].
% 0.89/1.07 exact (zenon_H8d zenon_H93).
% 0.89/1.07 exact (zenon_H94 zenon_H8f).
% 0.89/1.07 (* end of lemma zenon_L193_ *)
% 0.89/1.07 assert (zenon_L194_ : (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (~(c2_1 (a1487))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (~(c1_1 (a1487))) -> (c3_1 (a1487)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_Hb zenon_Ha zenon_H8e zenon_H53 zenon_H8d zenon_H8f.
% 0.89/1.07 generalize (zenon_Hb (a1487)). zenon_intro zenon_H224.
% 0.89/1.07 apply (zenon_imply_s _ _ zenon_H224); [ zenon_intro zenon_H9 | zenon_intro zenon_H225 ].
% 0.89/1.07 exact (zenon_H9 zenon_Ha).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H95 | zenon_intro zenon_H226 ].
% 0.89/1.07 exact (zenon_H8e zenon_H95).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21f | zenon_intro zenon_H94 ].
% 0.89/1.07 apply (zenon_L193_); trivial.
% 0.89/1.07 exact (zenon_H94 zenon_H8f).
% 0.89/1.07 (* end of lemma zenon_L194_ *)
% 0.89/1.07 assert (zenon_L195_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1487)) -> (~(c1_1 (a1487))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (~(c2_1 (a1487))) -> (ndr1_0) -> (~(hskp22)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H165 zenon_H8f zenon_H8d zenon_H53 zenon_H8e zenon_Ha zenon_H96.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8c | zenon_intro zenon_H166 ].
% 0.89/1.07 apply (zenon_L37_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ].
% 0.89/1.07 apply (zenon_L194_); trivial.
% 0.89/1.07 exact (zenon_H96 zenon_H97).
% 0.89/1.07 (* end of lemma zenon_L195_ *)
% 0.89/1.07 assert (zenon_L196_ : ((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp22)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> (c3_1 (a1487)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H144 zenon_H145 zenon_H96 zenon_H8e zenon_H8d zenon_H8f zenon_H165 zenon_H12a zenon_H129 zenon_H128 zenon_H142 zenon_H4f.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H134. zenon_intro zenon_H147.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H132. zenon_intro zenon_H133.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 0.89/1.07 apply (zenon_L195_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 0.89/1.07 apply (zenon_L70_); trivial.
% 0.89/1.07 apply (zenon_L73_); trivial.
% 0.89/1.07 (* end of lemma zenon_L196_ *)
% 0.89/1.07 assert (zenon_L197_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(c1_1 (a1487))) -> (~(c2_1 (a1487))) -> (c3_1 (a1487)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp25)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H149 zenon_H145 zenon_H4f zenon_H142 zenon_H12a zenon_H129 zenon_H128 zenon_H8d zenon_H8e zenon_H8f zenon_H96 zenon_H165 zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H2d zenon_H217 zenon_H20e.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.89/1.07 apply (zenon_L192_); trivial.
% 0.89/1.07 apply (zenon_L196_); trivial.
% 0.89/1.07 (* end of lemma zenon_L197_ *)
% 0.89/1.07 assert (zenon_L198_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H168 zenon_H167 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H149 zenon_H145 zenon_H4f zenon_H142 zenon_H12a zenon_H129 zenon_H128 zenon_H96 zenon_H165 zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H217 zenon_H20e zenon_H219 zenon_H194 zenon_H18d zenon_H18c zenon_H4c zenon_H9d.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.89/1.07 apply (zenon_L126_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.89/1.07 apply (zenon_L197_); trivial.
% 0.89/1.07 apply (zenon_L183_); trivial.
% 0.89/1.07 apply (zenon_L164_); trivial.
% 0.89/1.07 (* end of lemma zenon_L198_ *)
% 0.89/1.07 assert (zenon_L199_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_Hb5 zenon_Hb7 zenon_H9d zenon_H4c zenon_H219 zenon_H20e zenon_H217 zenon_H101 zenon_Hc6 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1f8 zenon_H124 zenon_H165 zenon_H128 zenon_H129 zenon_H12a zenon_H142 zenon_H4f zenon_H145 zenon_H149 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H167 zenon_H168.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.07 apply (zenon_L198_); trivial.
% 0.89/1.07 apply (zenon_L96_); trivial.
% 0.89/1.07 (* end of lemma zenon_L199_ *)
% 0.89/1.07 assert (zenon_L200_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H19e zenon_Hb5 zenon_Hb7 zenon_H4c zenon_H219 zenon_H217 zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H20e zenon_H20a zenon_H207 zenon_H101 zenon_Hc6 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1f8 zenon_H124 zenon_H54 zenon_H55 zenon_H56 zenon_H128 zenon_H129 zenon_H12a zenon_H142 zenon_H4f zenon_H145 zenon_H149 zenon_H9d zenon_H199 zenon_He6.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.89/1.07 apply (zenon_L190_); trivial.
% 0.89/1.07 apply (zenon_L153_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.89/1.07 apply (zenon_L190_); trivial.
% 0.89/1.07 apply (zenon_L191_); trivial.
% 0.89/1.07 apply (zenon_L199_); trivial.
% 0.89/1.07 (* end of lemma zenon_L200_ *)
% 0.89/1.07 assert (zenon_L201_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(hskp0)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H1ea zenon_H6c zenon_H4c zenon_H219 zenon_H217 zenon_H168 zenon_H121 zenon_H20e zenon_H20a zenon_H207 zenon_H101 zenon_H1f8 zenon_H124 zenon_H54 zenon_H128 zenon_H129 zenon_H12a zenon_H142 zenon_H145 zenon_H149 zenon_H215 zenon_H1d6 zenon_H1d2 zenon_Hc8 zenon_H1af zenon_H1ae zenon_H1ad zenon_H1c6 zenon_H19e zenon_H199 zenon_H189 zenon_Hde zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hb7 zenon_He6 zenon_H9d zenon_H185 zenon_H75 zenon_H177 zenon_H55 zenon_H56 zenon_H178 zenon_H8b zenon_H167 zenon_H165 zenon_He0 zenon_Hc6 zenon_He5 zenon_H1a4.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.89/1.07 apply (zenon_L146_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.89/1.07 apply (zenon_L200_); trivial.
% 0.89/1.07 apply (zenon_L188_); trivial.
% 0.89/1.07 apply (zenon_L100_); trivial.
% 0.89/1.07 (* end of lemma zenon_L201_ *)
% 0.89/1.07 assert (zenon_L202_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H171 zenon_Ha zenon_H227 zenon_H228 zenon_H229.
% 0.89/1.07 generalize (zenon_H171 (a1437)). zenon_intro zenon_H22a.
% 0.89/1.07 apply (zenon_imply_s _ _ zenon_H22a); [ zenon_intro zenon_H9 | zenon_intro zenon_H22b ].
% 0.89/1.07 exact (zenon_H9 zenon_Ha).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ].
% 0.89/1.07 exact (zenon_H227 zenon_H22d).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H22f | zenon_intro zenon_H22e ].
% 0.89/1.07 exact (zenon_H228 zenon_H22f).
% 0.89/1.07 exact (zenon_H22e zenon_H229).
% 0.89/1.07 (* end of lemma zenon_L202_ *)
% 0.89/1.07 assert (zenon_L203_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H1d8 zenon_H1d9 zenon_H131 zenon_H1d7 zenon_Ha zenon_H16f.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.07 apply (zenon_L202_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.07 apply (zenon_L130_); trivial.
% 0.89/1.07 exact (zenon_H16f zenon_H170).
% 0.89/1.07 (* end of lemma zenon_L203_ *)
% 0.89/1.07 assert (zenon_L204_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H1d9 zenon_H1d8 zenon_H31 zenon_H1d7 zenon_Ha zenon_H16f.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.07 apply (zenon_L202_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.07 apply (zenon_L150_); trivial.
% 0.89/1.07 exact (zenon_H16f zenon_H170).
% 0.89/1.07 (* end of lemma zenon_L204_ *)
% 0.89/1.07 assert (zenon_L205_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp20)) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp14)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H142 zenon_H16f zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H4f.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 0.89/1.07 apply (zenon_L203_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 0.89/1.07 apply (zenon_L204_); trivial.
% 0.89/1.07 exact (zenon_H4f zenon_H50).
% 0.89/1.07 (* end of lemma zenon_L205_ *)
% 0.89/1.07 assert (zenon_L206_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H19e zenon_He6 zenon_H199 zenon_Hb5 zenon_Hb7 zenon_H9d zenon_H99 zenon_H84 zenon_H75 zenon_H121 zenon_H8b zenon_H165 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H168 zenon_H187 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H229 zenon_H228 zenon_H227 zenon_Ha zenon_H4f zenon_H142.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.07 apply (zenon_L205_); trivial.
% 0.89/1.07 apply (zenon_L165_); trivial.
% 0.89/1.07 (* end of lemma zenon_L206_ *)
% 0.89/1.07 assert (zenon_L207_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_He2 zenon_H19e zenon_He6 zenon_H199 zenon_H20e zenon_H217 zenon_Hc6 zenon_H215 zenon_H219 zenon_H4c zenon_H9d zenon_H185 zenon_H1d2 zenon_Hc8 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1af zenon_H1ae zenon_H1ad zenon_H165 zenon_H75 zenon_H121 zenon_H8b zenon_H167 zenon_H168 zenon_H187 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H229 zenon_H228 zenon_H227 zenon_H4f zenon_H142.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.07 apply (zenon_L205_); trivial.
% 0.89/1.07 apply (zenon_L187_); trivial.
% 0.89/1.07 (* end of lemma zenon_L207_ *)
% 0.89/1.07 assert (zenon_L208_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(hskp0)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H1ea zenon_H6c zenon_H2c zenon_H1bc zenon_H2f zenon_H25 zenon_H1ba zenon_H99 zenon_H84 zenon_H121 zenon_H168 zenon_H229 zenon_H228 zenon_H227 zenon_H142 zenon_H4c zenon_H219 zenon_H215 zenon_H217 zenon_H20e zenon_H1d6 zenon_H1d2 zenon_Hc8 zenon_H1af zenon_H1ae zenon_H1ad zenon_H1c6 zenon_H19e zenon_H199 zenon_H189 zenon_Hde zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hb7 zenon_He6 zenon_H9d zenon_H185 zenon_H75 zenon_H177 zenon_H55 zenon_H56 zenon_H178 zenon_H8b zenon_H167 zenon_H165 zenon_He0 zenon_Hc6 zenon_He5 zenon_H1a4.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.89/1.07 apply (zenon_L146_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.89/1.07 apply (zenon_L206_); trivial.
% 0.89/1.07 apply (zenon_L207_); trivial.
% 0.89/1.07 apply (zenon_L109_); trivial.
% 0.89/1.07 (* end of lemma zenon_L208_ *)
% 0.89/1.07 assert (zenon_L209_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((hskp30)\/(hskp24)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H19e zenon_He6 zenon_H199 zenon_Hb5 zenon_Hb7 zenon_H9d zenon_H4c zenon_H219 zenon_H20e zenon_H217 zenon_H101 zenon_Hc6 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1f8 zenon_H124 zenon_H165 zenon_H128 zenon_H129 zenon_H12a zenon_H145 zenon_H149 zenon_H75 zenon_H121 zenon_H8b zenon_H167 zenon_H168 zenon_H187 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H229 zenon_H228 zenon_H227 zenon_Ha zenon_H4f zenon_H142.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.07 apply (zenon_L205_); trivial.
% 0.89/1.07 apply (zenon_L199_); trivial.
% 0.89/1.07 (* end of lemma zenon_L209_ *)
% 0.89/1.07 assert (zenon_L210_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(c3_1 (a1449))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_He5 zenon_H215 zenon_H185 zenon_H1d2 zenon_Hc8 zenon_H1af zenon_H1ae zenon_H1ad zenon_H142 zenon_H4f zenon_Ha zenon_H227 zenon_H228 zenon_H229 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H187 zenon_H168 zenon_H167 zenon_H8b zenon_H121 zenon_H75 zenon_H149 zenon_H145 zenon_H12a zenon_H129 zenon_H128 zenon_H165 zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H217 zenon_H20e zenon_H219 zenon_H4c zenon_H9d zenon_Hb7 zenon_H199 zenon_He6 zenon_H19e.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.89/1.07 apply (zenon_L209_); trivial.
% 0.89/1.07 apply (zenon_L207_); trivial.
% 0.89/1.07 (* end of lemma zenon_L210_ *)
% 0.89/1.07 assert (zenon_L211_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> (~(c0_1 (a1438))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H1a2 zenon_H1a3 zenon_Hfa zenon_H25 zenon_H1a4 zenon_He5 zenon_Hc6 zenon_He0 zenon_H165 zenon_H167 zenon_H8b zenon_H178 zenon_H56 zenon_H55 zenon_H177 zenon_H75 zenon_H185 zenon_H9d zenon_He6 zenon_Hb7 zenon_Ha9 zenon_H160 zenon_Hab zenon_H187 zenon_Hde zenon_H189 zenon_H199 zenon_H19e zenon_H1c6 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H1d6 zenon_H215 zenon_H142 zenon_H227 zenon_H228 zenon_H229 zenon_H168 zenon_H121 zenon_H149 zenon_H145 zenon_H124 zenon_H1f8 zenon_H101 zenon_H217 zenon_H20e zenon_H219 zenon_H4c zenon_H54 zenon_H6c zenon_H1ea.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.89/1.07 apply (zenon_L146_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.07 apply (zenon_L210_); trivial.
% 0.89/1.07 apply (zenon_L100_); trivial.
% 0.89/1.07 apply (zenon_L101_); trivial.
% 0.89/1.07 (* end of lemma zenon_L211_ *)
% 0.89/1.07 assert (zenon_L212_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/((hskp5)\/(hskp17))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H6d zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H15 zenon_H19.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.89/1.07 apply (zenon_L13_); trivial.
% 0.89/1.07 (* end of lemma zenon_L212_ *)
% 0.89/1.07 assert (zenon_L213_ : ((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H230 zenon_H2c zenon_H28 zenon_H5 zenon_H2f zenon_H25 zenon_H45 zenon_H48 zenon_H4c.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 0.89/1.07 apply (zenon_L20_); trivial.
% 0.89/1.07 (* end of lemma zenon_L213_ *)
% 0.89/1.07 assert (zenon_L214_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445))))))) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((hskp12)\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/((hskp5)\/(hskp17))) -> (~(hskp5)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H233 zenon_H2f zenon_H45 zenon_H48 zenon_H4c zenon_H7 zenon_H5 zenon_H19 zenon_H15 zenon_H25 zenon_H28 zenon_H2c zenon_H72.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.89/1.07 apply (zenon_L4_); trivial.
% 0.89/1.07 apply (zenon_L212_); trivial.
% 0.89/1.07 apply (zenon_L213_); trivial.
% 0.89/1.07 (* end of lemma zenon_L214_ *)
% 0.89/1.07 assert (zenon_L215_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(c2_1 (a1434))) -> (c1_1 (a1434)) -> (c3_1 (a1434)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H234 zenon_Ha zenon_H235 zenon_H236 zenon_H237.
% 0.89/1.07 generalize (zenon_H234 (a1434)). zenon_intro zenon_H238.
% 0.89/1.07 apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_H9 | zenon_intro zenon_H239 ].
% 0.89/1.07 exact (zenon_H9 zenon_Ha).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H23b | zenon_intro zenon_H23a ].
% 0.89/1.07 exact (zenon_H235 zenon_H23b).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H23d | zenon_intro zenon_H23c ].
% 0.89/1.07 exact (zenon_H23d zenon_H236).
% 0.89/1.07 exact (zenon_H23c zenon_H237).
% 0.89/1.07 (* end of lemma zenon_L215_ *)
% 0.89/1.07 assert (zenon_L216_ : ((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> (~(hskp0)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_Hfc zenon_H23e zenon_H237 zenon_H236 zenon_H235 zenon_Hc6.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_He8 | zenon_intro zenon_H23f ].
% 0.89/1.07 apply (zenon_L57_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H234 | zenon_intro zenon_Hc7 ].
% 0.89/1.07 apply (zenon_L215_); trivial.
% 0.89/1.07 exact (zenon_Hc6 zenon_Hc7).
% 0.89/1.07 (* end of lemma zenon_L216_ *)
% 0.89/1.07 assert (zenon_L217_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((hskp30)\/(hskp24)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H1a3 zenon_H23e zenon_H237 zenon_H236 zenon_H235 zenon_He7 zenon_Hcb zenon_Hc6 zenon_H9d zenon_H99 zenon_H75 zenon_H84 zenon_H87 zenon_H8b zenon_H54 zenon_H55 zenon_H56 zenon_Hb7 zenon_Hab zenon_Ha9 zenon_H15 zenon_H6e zenon_He6 zenon_He0 zenon_Hde zenon_He5.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.89/1.07 apply (zenon_L56_); trivial.
% 0.89/1.07 apply (zenon_L216_); trivial.
% 0.89/1.07 (* end of lemma zenon_L217_ *)
% 0.89/1.07 assert (zenon_L218_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H171 zenon_Ha zenon_Hd8 zenon_H1ad zenon_H1ae zenon_H1af.
% 0.89/1.07 generalize (zenon_H171 (a1435)). zenon_intro zenon_H240.
% 0.89/1.07 apply (zenon_imply_s _ _ zenon_H240); [ zenon_intro zenon_H9 | zenon_intro zenon_H241 ].
% 0.89/1.07 exact (zenon_H9 zenon_Ha).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H243 | zenon_intro zenon_H242 ].
% 0.89/1.07 generalize (zenon_Hd8 (a1435)). zenon_intro zenon_H244.
% 0.89/1.07 apply (zenon_imply_s _ _ zenon_H244); [ zenon_intro zenon_H9 | zenon_intro zenon_H245 ].
% 0.89/1.07 exact (zenon_H9 zenon_Ha).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H246 ].
% 0.89/1.07 exact (zenon_H1ad zenon_H1b3).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H247 ].
% 0.89/1.07 exact (zenon_H1ae zenon_H1b5).
% 0.89/1.07 exact (zenon_H247 zenon_H243).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1b4 ].
% 0.89/1.07 exact (zenon_H1ad zenon_H1b3).
% 0.89/1.07 exact (zenon_H1b4 zenon_H1af).
% 0.89/1.07 (* end of lemma zenon_L218_ *)
% 0.89/1.07 assert (zenon_L219_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> (ndr1_0) -> (~(hskp7)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H248 zenon_H1af zenon_H1ae zenon_H1ad zenon_H171 zenon_H237 zenon_H236 zenon_H235 zenon_Ha zenon_H45.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H249 ].
% 0.89/1.07 apply (zenon_L218_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H234 | zenon_intro zenon_H46 ].
% 0.89/1.07 apply (zenon_L215_); trivial.
% 0.89/1.07 exact (zenon_H45 zenon_H46).
% 0.89/1.07 (* end of lemma zenon_L219_ *)
% 0.89/1.07 assert (zenon_L220_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp7)) -> (~(c2_1 (a1434))) -> (c1_1 (a1434)) -> (c3_1 (a1434)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H187 zenon_H45 zenon_H235 zenon_H236 zenon_H237 zenon_H1ad zenon_H1ae zenon_H1af zenon_H248 zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H16f.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.07 apply (zenon_L219_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.07 apply (zenon_L87_); trivial.
% 0.89/1.07 exact (zenon_H16f zenon_H170).
% 0.89/1.07 (* end of lemma zenon_L220_ *)
% 0.89/1.07 assert (zenon_L221_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(hskp8)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H19b zenon_H1e8 zenon_H17e zenon_H17d zenon_H17c zenon_H4d.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H154 | zenon_intro zenon_H1e9 ].
% 0.89/1.07 apply (zenon_L143_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17b | zenon_intro zenon_H4e ].
% 0.89/1.07 apply (zenon_L87_); trivial.
% 0.89/1.07 exact (zenon_H4d zenon_H4e).
% 0.89/1.07 (* end of lemma zenon_L221_ *)
% 0.89/1.07 assert (zenon_L222_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H19f zenon_H19e zenon_H1e8 zenon_H4d zenon_H248 zenon_H45 zenon_H237 zenon_H236 zenon_H235 zenon_H1af zenon_H1ae zenon_H1ad zenon_H187.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.07 apply (zenon_L220_); trivial.
% 0.89/1.07 apply (zenon_L221_); trivial.
% 0.89/1.07 (* end of lemma zenon_L222_ *)
% 0.89/1.07 assert (zenon_L223_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H4d zenon_H248 zenon_H45 zenon_H237 zenon_H236 zenon_H235 zenon_H187 zenon_H1c6 zenon_H1c4 zenon_H1ad zenon_H1ae zenon_H1af zenon_Hc8 zenon_H1d2 zenon_H1d6.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.89/1.07 apply (zenon_L122_); trivial.
% 0.89/1.07 apply (zenon_L222_); trivial.
% 0.89/1.07 (* end of lemma zenon_L223_ *)
% 0.89/1.07 assert (zenon_L224_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H187 zenon_H1af zenon_H1ae zenon_H1ad zenon_Hd8 zenon_H1d9 zenon_H1d8 zenon_H31 zenon_H1d7 zenon_Ha zenon_H16f.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.07 apply (zenon_L218_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.07 apply (zenon_L150_); trivial.
% 0.89/1.07 exact (zenon_H16f zenon_H170).
% 0.89/1.07 (* end of lemma zenon_L224_ *)
% 0.89/1.07 assert (zenon_L225_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp20)) -> (~(c3_1 (a1449))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> (ndr1_0) -> (~(hskp7)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H248 zenon_H16f zenon_H1d7 zenon_H31 zenon_H1d8 zenon_H1d9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H187 zenon_H237 zenon_H236 zenon_H235 zenon_Ha zenon_H45.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H249 ].
% 0.89/1.07 apply (zenon_L224_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H234 | zenon_intro zenon_H46 ].
% 0.89/1.07 apply (zenon_L215_); trivial.
% 0.89/1.07 exact (zenon_H45 zenon_H46).
% 0.89/1.07 (* end of lemma zenon_L225_ *)
% 0.89/1.07 assert (zenon_L226_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H1e8 zenon_H194 zenon_H18d zenon_H18c zenon_H1d8 zenon_H1d9 zenon_H131 zenon_H1d7 zenon_Ha zenon_H4d.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H154 | zenon_intro zenon_H1e9 ].
% 0.89/1.07 apply (zenon_L143_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17b | zenon_intro zenon_H4e ].
% 0.89/1.07 apply (zenon_L130_); trivial.
% 0.89/1.07 exact (zenon_H4d zenon_H4e).
% 0.89/1.07 (* end of lemma zenon_L226_ *)
% 0.89/1.07 assert (zenon_L227_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H1e8 zenon_H194 zenon_H18d zenon_H18c zenon_H1d9 zenon_H1d8 zenon_H31 zenon_H1d7 zenon_Ha zenon_H4d.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H154 | zenon_intro zenon_H1e9 ].
% 0.89/1.07 apply (zenon_L143_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17b | zenon_intro zenon_H4e ].
% 0.89/1.07 apply (zenon_L150_); trivial.
% 0.89/1.07 exact (zenon_H4d zenon_H4e).
% 0.89/1.07 (* end of lemma zenon_L227_ *)
% 0.89/1.07 assert (zenon_L228_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp8)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp14)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H19b zenon_H142 zenon_H4d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H4f.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 0.89/1.07 apply (zenon_L226_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 0.89/1.07 apply (zenon_L227_); trivial.
% 0.89/1.07 exact (zenon_H4f zenon_H50).
% 0.89/1.07 (* end of lemma zenon_L228_ *)
% 0.89/1.07 assert (zenon_L229_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp8)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H19b zenon_H1ba zenon_H4d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H60 zenon_H5f zenon_H5e zenon_H1ad zenon_H1ae zenon_H1af.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 0.89/1.07 apply (zenon_L227_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 0.89/1.07 apply (zenon_L25_); trivial.
% 0.89/1.07 apply (zenon_L104_); trivial.
% 0.89/1.07 (* end of lemma zenon_L229_ *)
% 0.89/1.07 assert (zenon_L230_ : ((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((hskp8)\/(hskp7))) -> (~(hskp8)) -> (~(hskp7)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_Hfc zenon_H24a zenon_H4d zenon_H45.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_He8 | zenon_intro zenon_H24b ].
% 0.89/1.07 apply (zenon_L57_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4e | zenon_intro zenon_H46 ].
% 0.89/1.07 exact (zenon_H4d zenon_H4e).
% 0.89/1.07 exact (zenon_H45 zenon_H46).
% 0.89/1.07 (* end of lemma zenon_L230_ *)
% 0.89/1.07 assert (zenon_L231_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((hskp8)\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H1a3 zenon_H24a zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H4d zenon_H248 zenon_H45 zenon_H237 zenon_H236 zenon_H235 zenon_H187 zenon_H1c6 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H1d6 zenon_H142 zenon_H1ba zenon_H6c zenon_H1ea.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.89/1.07 apply (zenon_L223_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.07 apply (zenon_L219_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.07 apply (zenon_L130_); trivial.
% 0.89/1.07 exact (zenon_H16f zenon_H170).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 0.89/1.07 apply (zenon_L225_); trivial.
% 0.89/1.07 exact (zenon_H4f zenon_H50).
% 0.89/1.07 apply (zenon_L228_); trivial.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 0.89/1.07 apply (zenon_L225_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 0.89/1.07 apply (zenon_L25_); trivial.
% 0.89/1.07 apply (zenon_L104_); trivial.
% 0.89/1.07 apply (zenon_L229_); trivial.
% 0.89/1.07 apply (zenon_L230_); trivial.
% 0.89/1.07 (* end of lemma zenon_L231_ *)
% 0.89/1.07 assert (zenon_L232_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp11)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (ndr1_0) -> (~(hskp22)) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H165 zenon_Hc8 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H96.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8c | zenon_intro zenon_H166 ].
% 0.89/1.07 apply (zenon_L141_); trivial.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ].
% 0.89/1.07 apply (zenon_L6_); trivial.
% 0.89/1.07 exact (zenon_H96 zenon_H97).
% 0.89/1.07 (* end of lemma zenon_L232_ *)
% 0.89/1.07 assert (zenon_L233_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (ndr1_0) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_He6 zenon_H1c0 zenon_H17 zenon_H1d2 zenon_Hc8 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1af zenon_H1ae zenon_H1ad zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H165.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.07 apply (zenon_L232_); trivial.
% 0.89/1.07 apply (zenon_L113_); trivial.
% 0.89/1.07 (* end of lemma zenon_L233_ *)
% 0.89/1.07 assert (zenon_L234_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H6d zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H165 zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_Hc8 zenon_H1d2 zenon_H1c0 zenon_He6.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.89/1.07 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.07 apply (zenon_L233_); trivial.
% 0.89/1.07 apply (zenon_L12_); trivial.
% 0.89/1.07 (* end of lemma zenon_L234_ *)
% 0.89/1.07 assert (zenon_L235_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp10)) -> (~(hskp1)) -> ((hskp12)\/((hskp10)\/(hskp1))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H72 zenon_H2c zenon_H28 zenon_H25 zenon_H165 zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_Hc8 zenon_H1d2 zenon_H1c0 zenon_He6 zenon_H3 zenon_H5 zenon_H7.
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.89/1.07 apply (zenon_L4_); trivial.
% 0.89/1.07 apply (zenon_L234_); trivial.
% 0.89/1.07 (* end of lemma zenon_L235_ *)
% 0.89/1.07 assert (zenon_L236_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a1447))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> False).
% 0.89/1.07 do 0 intro. intros zenon_H1b zenon_Ha zenon_He9 zenon_Hd8 zenon_Hea zenon_Heb.
% 0.89/1.07 generalize (zenon_H1b (a1447)). zenon_intro zenon_H24c.
% 0.89/1.07 apply (zenon_imply_s _ _ zenon_H24c); [ zenon_intro zenon_H9 | zenon_intro zenon_H24d ].
% 0.89/1.07 exact (zenon_H9 zenon_Ha).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_Hef | zenon_intro zenon_H24e ].
% 0.89/1.07 exact (zenon_He9 zenon_Hef).
% 0.89/1.07 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1 ].
% 0.89/1.07 apply (zenon_L58_); trivial.
% 0.89/1.08 exact (zenon_Hea zenon_Hf1).
% 0.89/1.08 (* end of lemma zenon_L236_ *)
% 0.89/1.08 assert (zenon_L237_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(c3_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c0_1 (a1447))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> (ndr1_0) -> (~(hskp7)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H248 zenon_Heb zenon_Hea zenon_He9 zenon_H1b zenon_H237 zenon_H236 zenon_H235 zenon_Ha zenon_H45.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H249 ].
% 0.89/1.08 apply (zenon_L236_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H234 | zenon_intro zenon_H46 ].
% 0.89/1.08 apply (zenon_L215_); trivial.
% 0.89/1.08 exact (zenon_H45 zenon_H46).
% 0.89/1.08 (* end of lemma zenon_L237_ *)
% 0.89/1.08 assert (zenon_L238_ : ((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp7)) -> (~(c2_1 (a1434))) -> (c1_1 (a1434)) -> (c3_1 (a1434)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp1)) -> (~(hskp2)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_Hfc zenon_H28 zenon_H45 zenon_H235 zenon_H236 zenon_H237 zenon_H248 zenon_H5 zenon_H25.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H1b | zenon_intro zenon_H2b ].
% 0.89/1.08 apply (zenon_L237_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H6 | zenon_intro zenon_H26 ].
% 0.89/1.08 exact (zenon_H5 zenon_H6).
% 0.89/1.08 exact (zenon_H25 zenon_H26).
% 0.89/1.08 (* end of lemma zenon_L238_ *)
% 0.89/1.08 assert (zenon_L239_ : ((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445))))))) -> ((hskp25)\/((hskp2)\/(hskp17))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp1)) -> ((hskp12)\/((hskp10)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1a9 zenon_H233 zenon_H2f zenon_H48 zenon_H4c zenon_H72 zenon_H2c zenon_H28 zenon_H25 zenon_H165 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H1c0 zenon_He6 zenon_H5 zenon_H7 zenon_H248 zenon_H45 zenon_H237 zenon_H236 zenon_H235 zenon_H1a3.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.89/1.08 apply (zenon_L235_); trivial.
% 0.89/1.08 apply (zenon_L238_); trivial.
% 0.89/1.08 apply (zenon_L213_); trivial.
% 0.89/1.08 (* end of lemma zenon_L239_ *)
% 0.89/1.08 assert (zenon_L240_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74)))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1e8 zenon_H56 zenon_H55 zenon_H8c zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H4d.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H154 | zenon_intro zenon_H1e9 ].
% 0.89/1.08 apply (zenon_L82_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17b | zenon_intro zenon_H4e ].
% 0.89/1.08 apply (zenon_L87_); trivial.
% 0.89/1.08 exact (zenon_H4d zenon_H4e).
% 0.89/1.08 (* end of lemma zenon_L240_ *)
% 0.89/1.08 assert (zenon_L241_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp8)) -> (ndr1_0) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp22)) -> (~(hskp9)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H99 zenon_H4d zenon_Ha zenon_H17c zenon_H17d zenon_H17e zenon_H55 zenon_H56 zenon_H1e8 zenon_H96 zenon_H84.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H8c | zenon_intro zenon_H9c ].
% 0.89/1.08 apply (zenon_L240_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H97 | zenon_intro zenon_H85 ].
% 0.89/1.08 exact (zenon_H96 zenon_H97).
% 0.89/1.08 exact (zenon_H84 zenon_H85).
% 0.89/1.08 (* end of lemma zenon_L241_ *)
% 0.89/1.08 assert (zenon_L242_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_He6 zenon_H1c0 zenon_H17 zenon_He zenon_Hd zenon_Hc zenon_H1e8 zenon_H4d zenon_H17e zenon_H17d zenon_H17c zenon_H56 zenon_H55 zenon_Ha zenon_H84 zenon_H99.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.08 apply (zenon_L241_); trivial.
% 0.89/1.08 apply (zenon_L113_); trivial.
% 0.89/1.08 (* end of lemma zenon_L242_ *)
% 0.89/1.08 assert (zenon_L243_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1a4 zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H99 zenon_H84 zenon_H55 zenon_H56 zenon_H4d zenon_H1e8 zenon_Hc zenon_Hd zenon_He zenon_H1c0 zenon_He6 zenon_H1c6 zenon_H1c4 zenon_H1ad zenon_H1ae zenon_H1af zenon_Hc8 zenon_H1d2 zenon_H1d6.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.89/1.08 apply (zenon_L122_); trivial.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.08 apply (zenon_L242_); trivial.
% 0.89/1.08 apply (zenon_L12_); trivial.
% 0.89/1.08 (* end of lemma zenon_L243_ *)
% 0.89/1.08 assert (zenon_L244_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74)))))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1e8 zenon_H56 zenon_H55 zenon_H8c zenon_H1d9 zenon_H1d8 zenon_H31 zenon_H1d7 zenon_Ha zenon_H4d.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H154 | zenon_intro zenon_H1e9 ].
% 0.89/1.08 apply (zenon_L82_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17b | zenon_intro zenon_H4e ].
% 0.89/1.08 apply (zenon_L150_); trivial.
% 0.89/1.08 exact (zenon_H4d zenon_H4e).
% 0.89/1.08 (* end of lemma zenon_L244_ *)
% 0.89/1.08 assert (zenon_L245_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (c3_1 (a1438)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c1_1 (a1438))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp9)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H99 zenon_H56 zenon_H154 zenon_H55 zenon_Ha zenon_H96 zenon_H84.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H8c | zenon_intro zenon_H9c ].
% 0.89/1.08 apply (zenon_L82_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H97 | zenon_intro zenon_H85 ].
% 0.89/1.08 exact (zenon_H96 zenon_H97).
% 0.89/1.08 exact (zenon_H84 zenon_H85).
% 0.89/1.08 (* end of lemma zenon_L245_ *)
% 0.89/1.08 assert (zenon_L246_ : (forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H78 zenon_Ha zenon_H31 zenon_H1d8 zenon_H1d9.
% 0.89/1.08 generalize (zenon_H78 (a1449)). zenon_intro zenon_H24f.
% 0.89/1.08 apply (zenon_imply_s _ _ zenon_H24f); [ zenon_intro zenon_H9 | zenon_intro zenon_H250 ].
% 0.89/1.08 exact (zenon_H9 zenon_Ha).
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1dc ].
% 0.89/1.08 apply (zenon_L149_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ].
% 0.89/1.08 exact (zenon_H1df zenon_H1d8).
% 0.89/1.08 exact (zenon_H1de zenon_H1d9).
% 0.89/1.08 (* end of lemma zenon_L246_ *)
% 0.89/1.08 assert (zenon_L247_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(hskp22)) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c3_1 (a1449))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1ba zenon_H1d9 zenon_H1d8 zenon_H99 zenon_H56 zenon_H55 zenon_H96 zenon_H84 zenon_H1e8 zenon_H1d7 zenon_H4d zenon_H177 zenon_H60 zenon_H5f zenon_H5e zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 0.89/1.08 apply (zenon_L244_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 0.89/1.08 apply (zenon_L245_); trivial.
% 0.89/1.08 apply (zenon_L246_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 0.89/1.08 apply (zenon_L25_); trivial.
% 0.89/1.08 apply (zenon_L104_); trivial.
% 0.89/1.08 (* end of lemma zenon_L247_ *)
% 0.89/1.08 assert (zenon_L248_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H67 zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H1e8 zenon_H4d zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H56 zenon_H55 zenon_H99 zenon_H84 zenon_H177 zenon_Hc zenon_Hd zenon_He zenon_H1c0 zenon_He6.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.08 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.89/1.08 apply (zenon_L247_); trivial.
% 0.89/1.08 apply (zenon_L113_); trivial.
% 0.89/1.08 apply (zenon_L12_); trivial.
% 0.89/1.08 (* end of lemma zenon_L248_ *)
% 0.89/1.08 assert (zenon_L249_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c0_1 (a1438))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1a2 zenon_H1a3 zenon_H23e zenon_H237 zenon_H236 zenon_H235 zenon_H1a4 zenon_He5 zenon_Hc6 zenon_He0 zenon_H165 zenon_H167 zenon_H8b zenon_H178 zenon_H56 zenon_H55 zenon_H177 zenon_H75 zenon_H185 zenon_H9d zenon_He6 zenon_Hb7 zenon_Ha9 zenon_H160 zenon_Hab zenon_H187 zenon_Hde zenon_H189 zenon_H199 zenon_H19e zenon_H1c6 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H1d6 zenon_H215 zenon_H149 zenon_H145 zenon_H142 zenon_H54 zenon_H124 zenon_H1f8 zenon_H101 zenon_H207 zenon_H20a zenon_H20e zenon_H121 zenon_H168 zenon_H217 zenon_H219 zenon_H4c zenon_H6c zenon_H1ea.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.89/1.08 apply (zenon_L201_); trivial.
% 0.89/1.08 apply (zenon_L216_); trivial.
% 0.89/1.08 (* end of lemma zenon_L249_ *)
% 0.89/1.08 assert (zenon_L250_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H16f.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.08 apply (zenon_L202_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.08 apply (zenon_L87_); trivial.
% 0.89/1.08 exact (zenon_H16f zenon_H170).
% 0.89/1.08 (* end of lemma zenon_L250_ *)
% 0.89/1.08 assert (zenon_L251_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H19f zenon_H19e zenon_H1e8 zenon_H4d zenon_H227 zenon_H228 zenon_H229 zenon_H187.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.08 apply (zenon_L250_); trivial.
% 0.89/1.08 apply (zenon_L221_); trivial.
% 0.89/1.08 (* end of lemma zenon_L251_ *)
% 0.89/1.08 assert (zenon_L252_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H4d zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H1c6 zenon_H1c4 zenon_H1ad zenon_H1ae zenon_H1af zenon_Hc8 zenon_H1d2 zenon_H1d6.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.89/1.08 apply (zenon_L122_); trivial.
% 0.89/1.08 apply (zenon_L251_); trivial.
% 0.89/1.08 (* end of lemma zenon_L252_ *)
% 0.89/1.08 assert (zenon_L253_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H19e zenon_H4d zenon_H1e8 zenon_H187 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H229 zenon_H228 zenon_H227 zenon_Ha zenon_H4f zenon_H142.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.08 apply (zenon_L205_); trivial.
% 0.89/1.08 apply (zenon_L228_); trivial.
% 0.89/1.08 (* end of lemma zenon_L253_ *)
% 0.89/1.08 assert (zenon_L254_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp20)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1ba zenon_H16f zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H60 zenon_H5f zenon_H5e zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 0.89/1.08 apply (zenon_L204_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 0.89/1.08 apply (zenon_L25_); trivial.
% 0.89/1.08 apply (zenon_L104_); trivial.
% 0.89/1.08 (* end of lemma zenon_L254_ *)
% 0.89/1.08 assert (zenon_L255_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H67 zenon_H19e zenon_H4d zenon_H1e8 zenon_H187 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H229 zenon_H228 zenon_H227 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.08 apply (zenon_L254_); trivial.
% 0.89/1.08 apply (zenon_L229_); trivial.
% 0.89/1.08 (* end of lemma zenon_L255_ *)
% 0.89/1.08 assert (zenon_L256_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1ea zenon_H6c zenon_H1ba zenon_H142 zenon_H1d6 zenon_H1d2 zenon_Hc8 zenon_H1af zenon_H1ae zenon_H1ad zenon_H1c6 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H4d zenon_H1e8 zenon_H19e zenon_H1a4.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.89/1.08 apply (zenon_L252_); trivial.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.08 apply (zenon_L253_); trivial.
% 0.89/1.08 apply (zenon_L255_); trivial.
% 0.89/1.08 (* end of lemma zenon_L256_ *)
% 0.89/1.08 assert (zenon_L257_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1a3 zenon_H24a zenon_H45 zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H4d zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H1c6 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H1d6 zenon_H142 zenon_H1ba zenon_H6c zenon_H1ea.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.89/1.08 apply (zenon_L256_); trivial.
% 0.89/1.08 apply (zenon_L230_); trivial.
% 0.89/1.08 (* end of lemma zenon_L257_ *)
% 0.89/1.08 assert (zenon_L258_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1a3 zenon_H23e zenon_Hc6 zenon_H237 zenon_H236 zenon_H235 zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H4d zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H1c6 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H1d6 zenon_H142 zenon_H1ba zenon_H6c zenon_H1ea.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.89/1.08 apply (zenon_L256_); trivial.
% 0.89/1.08 apply (zenon_L216_); trivial.
% 0.89/1.08 (* end of lemma zenon_L258_ *)
% 0.89/1.08 assert (zenon_L259_ : (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30)))))) -> (ndr1_0) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H251 zenon_Ha zenon_H252 zenon_H253 zenon_H254.
% 0.89/1.08 generalize (zenon_H251 (a1431)). zenon_intro zenon_H255.
% 0.89/1.08 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H9 | zenon_intro zenon_H256 ].
% 0.89/1.08 exact (zenon_H9 zenon_Ha).
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ].
% 0.89/1.08 exact (zenon_H252 zenon_H258).
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ].
% 0.89/1.08 exact (zenon_H253 zenon_H25a).
% 0.89/1.08 exact (zenon_H259 zenon_H254).
% 0.89/1.08 (* end of lemma zenon_L259_ *)
% 0.89/1.08 assert (zenon_L260_ : ((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> (~(hskp0)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H209 zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_Hc6.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H251 | zenon_intro zenon_H25c ].
% 0.89/1.08 apply (zenon_L259_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H1fd | zenon_intro zenon_Hc7 ].
% 0.89/1.08 apply (zenon_L159_); trivial.
% 0.89/1.08 exact (zenon_Hc6 zenon_Hc7).
% 0.89/1.08 (* end of lemma zenon_L260_ *)
% 0.89/1.08 assert (zenon_L261_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp26)) -> (~(hskp0)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H101 zenon_Hff zenon_Hc6 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1f8 zenon_H124.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.89/1.08 apply (zenon_L158_); trivial.
% 0.89/1.08 apply (zenon_L260_); trivial.
% 0.89/1.08 (* end of lemma zenon_L261_ *)
% 0.89/1.08 assert (zenon_L262_ : ((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H47 zenon_H149 zenon_H142 zenon_H4f zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_Ha. zenon_intro zenon_H49.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H33. zenon_intro zenon_H4a.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H34. zenon_intro zenon_H32.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.89/1.08 apply (zenon_L261_); trivial.
% 0.89/1.08 apply (zenon_L133_); trivial.
% 0.89/1.08 (* end of lemma zenon_L262_ *)
% 0.89/1.08 assert (zenon_L263_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> (~(hskp2)) -> (~(hskp17)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H4c zenon_H149 zenon_H142 zenon_H4f zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e zenon_H25 zenon_H17 zenon_H2f.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.89/1.08 apply (zenon_L15_); trivial.
% 0.89/1.08 apply (zenon_L262_); trivial.
% 0.89/1.08 (* end of lemma zenon_L263_ *)
% 0.89/1.08 assert (zenon_L264_ : ((~(hskp7))\/((ndr1_0)/\((c3_1 (a1438))/\((~(c0_1 (a1438)))/\(~(c1_1 (a1438))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/((hskp5)\/(hskp17))) -> (~(hskp1)) -> ((hskp12)\/((hskp10)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> ((hskp25)\/((hskp2)\/(hskp17))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445))))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H25d zenon_H1a7 zenon_H149 zenon_H142 zenon_H124 zenon_H1f8 zenon_Hc6 zenon_H101 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e zenon_H6c zenon_H68 zenon_H51 zenon_H6e zenon_H72 zenon_H2c zenon_H28 zenon_H25 zenon_H15 zenon_H19 zenon_H5 zenon_H7 zenon_H4c zenon_H48 zenon_H2f zenon_H233.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 0.89/1.08 apply (zenon_L214_); trivial.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 0.89/1.08 apply (zenon_L29_); trivial.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.08 apply (zenon_L263_); trivial.
% 0.89/1.08 apply (zenon_L12_); trivial.
% 0.89/1.08 apply (zenon_L26_); trivial.
% 0.89/1.08 (* end of lemma zenon_L264_ *)
% 0.89/1.08 assert (zenon_L265_ : (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (c0_1 (a1448)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1fd zenon_Ha zenon_Hd zenon_H171 zenon_Hc zenon_He.
% 0.89/1.08 generalize (zenon_H1fd (a1448)). zenon_intro zenon_H261.
% 0.89/1.08 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H9 | zenon_intro zenon_H262 ].
% 0.89/1.08 exact (zenon_H9 zenon_Ha).
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H14 | zenon_intro zenon_H263 ].
% 0.89/1.08 exact (zenon_H14 zenon_Hd).
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H264 | zenon_intro zenon_H13 ].
% 0.89/1.08 generalize (zenon_H171 (a1448)). zenon_intro zenon_H265.
% 0.89/1.08 apply (zenon_imply_s _ _ zenon_H265); [ zenon_intro zenon_H9 | zenon_intro zenon_H266 ].
% 0.89/1.08 exact (zenon_H9 zenon_Ha).
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H268 | zenon_intro zenon_H267 ].
% 0.89/1.08 exact (zenon_H264 zenon_H268).
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H12 | zenon_intro zenon_H14 ].
% 0.89/1.08 exact (zenon_Hc zenon_H12).
% 0.89/1.08 exact (zenon_H14 zenon_Hd).
% 0.89/1.08 exact (zenon_H13 zenon_He).
% 0.89/1.08 (* end of lemma zenon_L265_ *)
% 0.89/1.08 assert (zenon_L266_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1448)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (~(hskp0)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H4d zenon_H252 zenon_H253 zenon_H254 zenon_H187 zenon_He zenon_Hc zenon_Hd zenon_Hc6 zenon_H25b zenon_H1c6 zenon_H1c4 zenon_H1ad zenon_H1ae zenon_H1af zenon_Hc8 zenon_H1d2 zenon_H1d6.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.89/1.08 apply (zenon_L122_); trivial.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H251 | zenon_intro zenon_H25c ].
% 0.89/1.08 apply (zenon_L259_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H1fd | zenon_intro zenon_Hc7 ].
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.08 apply (zenon_L265_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.08 apply (zenon_L87_); trivial.
% 0.89/1.08 exact (zenon_H16f zenon_H170).
% 0.89/1.08 exact (zenon_Hc6 zenon_Hc7).
% 0.89/1.08 apply (zenon_L221_); trivial.
% 0.89/1.08 (* end of lemma zenon_L266_ *)
% 0.89/1.08 assert (zenon_L267_ : (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (c1_1 (a1483)) -> (c2_1 (a1483)) -> (c3_1 (a1483)) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1fd zenon_Ha zenon_H31 zenon_H10e zenon_H110 zenon_H10f.
% 0.89/1.08 generalize (zenon_H1fd (a1483)). zenon_intro zenon_H269.
% 0.89/1.08 apply (zenon_imply_s _ _ zenon_H269); [ zenon_intro zenon_H9 | zenon_intro zenon_H26a ].
% 0.89/1.08 exact (zenon_H9 zenon_Ha).
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H114 | zenon_intro zenon_H117 ].
% 0.89/1.08 generalize (zenon_H31 (a1483)). zenon_intro zenon_H26b.
% 0.89/1.08 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26c ].
% 0.89/1.08 exact (zenon_H9 zenon_Ha).
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H118 | zenon_intro zenon_H113 ].
% 0.89/1.08 exact (zenon_H114 zenon_H118).
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H11a | zenon_intro zenon_H11b ].
% 0.89/1.08 exact (zenon_H11a zenon_H10e).
% 0.89/1.08 exact (zenon_H11b zenon_H110).
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ].
% 0.89/1.08 exact (zenon_H11a zenon_H10e).
% 0.89/1.08 exact (zenon_H119 zenon_H10f).
% 0.89/1.08 (* end of lemma zenon_L267_ *)
% 0.89/1.08 assert (zenon_L268_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(c3_1 (a1449))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(hskp2)) -> (~(hskp17)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H4c zenon_H149 zenon_H101 zenon_Hc6 zenon_H252 zenon_H253 zenon_H254 zenon_H142 zenon_H4f zenon_Hd zenon_Hc zenon_He zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H16f zenon_H187 zenon_H25b zenon_H124 zenon_H25 zenon_H17 zenon_H2f.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.89/1.08 apply (zenon_L15_); trivial.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_Ha. zenon_intro zenon_H49.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H33. zenon_intro zenon_H4a.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H34. zenon_intro zenon_H32.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H102 | zenon_intro zenon_H125 ].
% 0.89/1.08 apply (zenon_L63_); trivial.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10e. zenon_intro zenon_H127.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H110. zenon_intro zenon_H10f.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H251 | zenon_intro zenon_H25c ].
% 0.89/1.08 apply (zenon_L259_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H1fd | zenon_intro zenon_Hc7 ].
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.89/1.08 apply (zenon_L265_); trivial.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.89/1.08 apply (zenon_L130_); trivial.
% 0.89/1.08 exact (zenon_H16f zenon_H170).
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 0.89/1.08 apply (zenon_L267_); trivial.
% 0.89/1.08 exact (zenon_H4f zenon_H50).
% 0.89/1.08 exact (zenon_Hc6 zenon_Hc7).
% 0.89/1.08 apply (zenon_L133_); trivial.
% 0.89/1.08 (* end of lemma zenon_L268_ *)
% 0.89/1.08 assert (zenon_L269_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(c3_1 (a1449))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(hskp2)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H2c zenon_H1bc zenon_H1af zenon_H1ae zenon_H1ad zenon_H4c zenon_H149 zenon_H101 zenon_Hc6 zenon_H252 zenon_H253 zenon_H254 zenon_H142 zenon_H4f zenon_Hd zenon_Hc zenon_He zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H187 zenon_H25b zenon_H124 zenon_H25 zenon_H2f zenon_H1e8 zenon_H4d zenon_H19e.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.89/1.08 apply (zenon_L268_); trivial.
% 0.89/1.08 apply (zenon_L228_); trivial.
% 0.89/1.08 apply (zenon_L108_); trivial.
% 0.89/1.08 (* end of lemma zenon_L269_ *)
% 0.89/1.08 assert (zenon_L270_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(hskp8)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(hskp2)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 0.89/1.08 do 0 intro. intros zenon_H1a2 zenon_H1a3 zenon_Hfa zenon_H6c zenon_H145 zenon_H56 zenon_H55 zenon_H54 zenon_H4d zenon_H51 zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H252 zenon_H253 zenon_H254 zenon_H187 zenon_Hc6 zenon_H25b zenon_H1c6 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H1d6 zenon_H2c zenon_H1bc zenon_H4c zenon_H149 zenon_H101 zenon_H142 zenon_H124 zenon_H25 zenon_H2f zenon_H1ea zenon_H72.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.89/1.08 apply (zenon_L116_); trivial.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.89/1.08 apply (zenon_L266_); trivial.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.89/1.08 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.89/1.08 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.89/1.08 apply (zenon_L269_); trivial.
% 0.89/1.08 apply (zenon_L100_); trivial.
% 0.89/1.08 apply (zenon_L101_); trivial.
% 0.89/1.08 (* end of lemma zenon_L270_ *)
% 0.89/1.08 assert (zenon_L271_ : ((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> (~(hskp2)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H1a9 zenon_H6c zenon_H1ba zenon_H4c zenon_H149 zenon_H142 zenon_H124 zenon_H1f8 zenon_Hc6 zenon_H101 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e zenon_H25 zenon_H2f zenon_H1ad zenon_H1ae zenon_H1af zenon_H1bc zenon_H2c.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.93/1.08 apply (zenon_L263_); trivial.
% 0.93/1.08 apply (zenon_L108_); trivial.
% 0.93/1.08 apply (zenon_L109_); trivial.
% 0.93/1.08 (* end of lemma zenon_L271_ *)
% 0.93/1.08 assert (zenon_L272_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H155 zenon_Ha zenon_H26d zenon_H26e zenon_H26f.
% 0.93/1.08 generalize (zenon_H155 (a1430)). zenon_intro zenon_H270.
% 0.93/1.08 apply (zenon_imply_s _ _ zenon_H270); [ zenon_intro zenon_H9 | zenon_intro zenon_H271 ].
% 0.93/1.08 exact (zenon_H9 zenon_Ha).
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H273 | zenon_intro zenon_H272 ].
% 0.93/1.08 exact (zenon_H26d zenon_H273).
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H275 | zenon_intro zenon_H274 ].
% 0.93/1.08 exact (zenon_H26e zenon_H275).
% 0.93/1.08 exact (zenon_H274 zenon_H26f).
% 0.93/1.08 (* end of lemma zenon_L272_ *)
% 0.93/1.08 assert (zenon_L273_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((hskp5)\/(hskp11))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp11)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H15e zenon_H26f zenon_H26e zenon_H26d zenon_Ha zenon_H15 zenon_Hc8.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H155 | zenon_intro zenon_H15f ].
% 0.93/1.08 apply (zenon_L272_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H16 | zenon_intro zenon_Hc9 ].
% 0.93/1.08 exact (zenon_H15 zenon_H16).
% 0.93/1.08 exact (zenon_Hc8 zenon_Hc9).
% 0.93/1.08 (* end of lemma zenon_L273_ *)
% 0.93/1.08 assert (zenon_L274_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> (ndr1_0) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((hskp5)\/(hskp11))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H1a3 zenon_H24a zenon_H45 zenon_H4d zenon_Ha zenon_H26d zenon_H26e zenon_H26f zenon_H15 zenon_H15e.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.93/1.08 apply (zenon_L273_); trivial.
% 0.93/1.08 apply (zenon_L230_); trivial.
% 0.93/1.08 (* end of lemma zenon_L274_ *)
% 0.93/1.08 assert (zenon_L275_ : ((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp9)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H144 zenon_H276 zenon_H26f zenon_H26e zenon_H26d zenon_H84.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H134. zenon_intro zenon_H147.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H132. zenon_intro zenon_H133.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H155 | zenon_intro zenon_H277 ].
% 0.93/1.08 apply (zenon_L272_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H131 | zenon_intro zenon_H85 ].
% 0.93/1.08 apply (zenon_L71_); trivial.
% 0.93/1.08 exact (zenon_H84 zenon_H85).
% 0.93/1.08 (* end of lemma zenon_L275_ *)
% 0.93/1.08 assert (zenon_L276_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H98 zenon_H149 zenon_H276 zenon_H84 zenon_H26f zenon_H26e zenon_H26d zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H207 zenon_H20a zenon_H20e.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.08 apply (zenon_L162_); trivial.
% 0.93/1.08 apply (zenon_L275_); trivial.
% 0.93/1.08 (* end of lemma zenon_L276_ *)
% 0.93/1.08 assert (zenon_L277_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((hskp30)\/(hskp24)) -> (~(hskp21)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H9d zenon_H149 zenon_H276 zenon_H26f zenon_H26e zenon_H26d zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H207 zenon_H20a zenon_H20e zenon_H75 zenon_H82 zenon_H84 zenon_H87 zenon_H8b.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.08 apply (zenon_L36_); trivial.
% 0.93/1.08 apply (zenon_L276_); trivial.
% 0.93/1.08 (* end of lemma zenon_L277_ *)
% 0.93/1.08 assert (zenon_L278_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_He7 zenon_Hcb zenon_Hc8 zenon_H8b zenon_H87 zenon_H84 zenon_H75 zenon_H20e zenon_H20a zenon_H207 zenon_H101 zenon_Hc6 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1f8 zenon_H124 zenon_H26d zenon_H26e zenon_H26f zenon_H276 zenon_H149 zenon_H9d.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 0.93/1.08 apply (zenon_L277_); trivial.
% 0.93/1.08 apply (zenon_L50_); trivial.
% 0.93/1.08 (* end of lemma zenon_L278_ *)
% 0.93/1.08 assert (zenon_L279_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H8c zenon_Ha zenon_H9e zenon_H26d zenon_H26f zenon_H26e.
% 0.93/1.08 generalize (zenon_H8c (a1430)). zenon_intro zenon_H278.
% 0.93/1.08 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_H9 | zenon_intro zenon_H279 ].
% 0.93/1.08 exact (zenon_H9 zenon_Ha).
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H27a | zenon_intro zenon_H272 ].
% 0.93/1.08 generalize (zenon_H9e (a1430)). zenon_intro zenon_H27b.
% 0.93/1.08 apply (zenon_imply_s _ _ zenon_H27b); [ zenon_intro zenon_H9 | zenon_intro zenon_H27c ].
% 0.93/1.08 exact (zenon_H9 zenon_Ha).
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H273 | zenon_intro zenon_H27d ].
% 0.93/1.08 exact (zenon_H26d zenon_H273).
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H27e | zenon_intro zenon_H274 ].
% 0.93/1.08 exact (zenon_H27e zenon_H27a).
% 0.93/1.08 exact (zenon_H274 zenon_H26f).
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H275 | zenon_intro zenon_H274 ].
% 0.93/1.08 exact (zenon_H26e zenon_H275).
% 0.93/1.08 exact (zenon_H274 zenon_H26f).
% 0.93/1.08 (* end of lemma zenon_L279_ *)
% 0.93/1.08 assert (zenon_L280_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (ndr1_0) -> (~(hskp22)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H165 zenon_H26e zenon_H26f zenon_H26d zenon_H9e zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H96.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8c | zenon_intro zenon_H166 ].
% 0.93/1.08 apply (zenon_L279_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ].
% 0.93/1.08 apply (zenon_L6_); trivial.
% 0.93/1.08 exact (zenon_H96 zenon_H97).
% 0.93/1.08 (* end of lemma zenon_L280_ *)
% 0.93/1.08 assert (zenon_L281_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp22)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp18)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H1d1 zenon_Hb7 zenon_H96 zenon_Hc zenon_Hd zenon_He zenon_H26d zenon_H26f zenon_H26e zenon_H165 zenon_Hb5.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.93/1.08 apply (zenon_L280_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.93/1.08 apply (zenon_L120_); trivial.
% 0.93/1.08 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.08 (* end of lemma zenon_L281_ *)
% 0.93/1.08 assert (zenon_L282_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> (~(hskp18)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H1d1 zenon_Hb7 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_Hb5.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.93/1.08 apply (zenon_L41_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.93/1.08 apply (zenon_L120_); trivial.
% 0.93/1.08 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.08 (* end of lemma zenon_L282_ *)
% 0.93/1.08 assert (zenon_L283_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_Hb9 zenon_H1d6 zenon_Hb7 zenon_Hb5 zenon_H11e zenon_H1c4 zenon_H1c6.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 0.93/1.08 apply (zenon_L119_); trivial.
% 0.93/1.08 apply (zenon_L282_); trivial.
% 0.93/1.08 (* end of lemma zenon_L283_ *)
% 0.93/1.08 assert (zenon_L284_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_He6 zenon_H1c6 zenon_H1c4 zenon_H11e zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H26e zenon_H26f zenon_H26d zenon_Hb5 zenon_Hb7 zenon_H1d6.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 0.93/1.08 apply (zenon_L119_); trivial.
% 0.93/1.08 apply (zenon_L281_); trivial.
% 0.93/1.08 apply (zenon_L283_); trivial.
% 0.93/1.08 (* end of lemma zenon_L284_ *)
% 0.93/1.08 assert (zenon_L285_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp10)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_He2 zenon_H27f zenon_H26f zenon_H26e zenon_H26d zenon_H3.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H155 | zenon_intro zenon_H280 ].
% 0.93/1.08 apply (zenon_L272_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H212 | zenon_intro zenon_H4 ].
% 0.93/1.08 apply (zenon_L170_); trivial.
% 0.93/1.08 exact (zenon_H3 zenon_H4).
% 0.93/1.08 (* end of lemma zenon_L285_ *)
% 0.93/1.08 assert (zenon_L286_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_He5 zenon_H27f zenon_H3 zenon_H1d6 zenon_Hb7 zenon_H26d zenon_H26f zenon_H26e zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H11e zenon_H1c4 zenon_H1c6 zenon_He6.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.08 apply (zenon_L284_); trivial.
% 0.93/1.08 apply (zenon_L285_); trivial.
% 0.93/1.08 (* end of lemma zenon_L286_ *)
% 0.93/1.08 assert (zenon_L287_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74)))))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H8c zenon_Ha zenon_H234 zenon_H26e zenon_H26f.
% 0.93/1.08 generalize (zenon_H8c (a1430)). zenon_intro zenon_H278.
% 0.93/1.08 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_H9 | zenon_intro zenon_H279 ].
% 0.93/1.08 exact (zenon_H9 zenon_Ha).
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H27a | zenon_intro zenon_H272 ].
% 0.93/1.08 generalize (zenon_H234 (a1430)). zenon_intro zenon_H281.
% 0.93/1.08 apply (zenon_imply_s _ _ zenon_H281); [ zenon_intro zenon_H9 | zenon_intro zenon_H282 ].
% 0.93/1.08 exact (zenon_H9 zenon_Ha).
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H275 | zenon_intro zenon_H27d ].
% 0.93/1.08 exact (zenon_H26e zenon_H275).
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H27e | zenon_intro zenon_H274 ].
% 0.93/1.08 exact (zenon_H27e zenon_H27a).
% 0.93/1.08 exact (zenon_H274 zenon_H26f).
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H275 | zenon_intro zenon_H274 ].
% 0.93/1.08 exact (zenon_H26e zenon_H275).
% 0.93/1.08 exact (zenon_H274 zenon_H26f).
% 0.93/1.08 (* end of lemma zenon_L287_ *)
% 0.93/1.08 assert (zenon_L288_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H185 zenon_H26e zenon_H26f zenon_H26d zenon_H9e zenon_H17e zenon_H17d zenon_H17c zenon_Hb zenon_Ha zenon_Ha9 zenon_Hab.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 0.93/1.08 apply (zenon_L279_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 0.93/1.08 apply (zenon_L87_); trivial.
% 0.93/1.08 apply (zenon_L43_); trivial.
% 0.93/1.08 (* end of lemma zenon_L288_ *)
% 0.93/1.08 assert (zenon_L289_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (ndr1_0) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp22)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H165 zenon_H234 zenon_Hab zenon_Ha9 zenon_Ha zenon_H17c zenon_H17d zenon_H17e zenon_H9e zenon_H26d zenon_H26f zenon_H26e zenon_H185 zenon_H96.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8c | zenon_intro zenon_H166 ].
% 0.93/1.08 apply (zenon_L287_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ].
% 0.93/1.08 apply (zenon_L288_); trivial.
% 0.93/1.08 exact (zenon_H96 zenon_H97).
% 0.93/1.08 (* end of lemma zenon_L289_ *)
% 0.93/1.08 assert (zenon_L290_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> (~(c3_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c0_1 (a1447))) -> (~(hskp18)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (ndr1_0) -> (~(hskp22)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp0)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H23e zenon_Heb zenon_Hea zenon_He9 zenon_Hb5 zenon_H165 zenon_H160 zenon_Hab zenon_Ha9 zenon_Ha zenon_H96 zenon_H17c zenon_H17d zenon_H17e zenon_H26d zenon_H26f zenon_H26e zenon_H185 zenon_Hb7 zenon_Hc6.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_He8 | zenon_intro zenon_H23f ].
% 0.93/1.08 apply (zenon_L57_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H234 | zenon_intro zenon_Hc7 ].
% 0.93/1.08 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.93/1.08 apply (zenon_L289_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.93/1.08 apply (zenon_L80_); trivial.
% 0.93/1.08 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.08 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.08 (* end of lemma zenon_L290_ *)
% 0.93/1.08 assert (zenon_L291_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (ndr1_0) -> (~(c0_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (~(c1_1 (a1441))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(c0_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp0)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_He6 zenon_H16f zenon_H187 zenon_Ha zenon_He9 zenon_Hea zenon_Heb zenon_Hb7 zenon_Hb5 zenon_H160 zenon_H26e zenon_H26f zenon_H185 zenon_Hab zenon_Ha9 zenon_H17e zenon_H17d zenon_H17c zenon_H26d zenon_H165 zenon_Hc6 zenon_H23e.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.08 apply (zenon_L290_); trivial.
% 0.93/1.08 apply (zenon_L139_); trivial.
% 0.93/1.08 (* end of lemma zenon_L291_ *)
% 0.93/1.08 assert (zenon_L292_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c0_1 (a1430))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c1_1 (a1441))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c3_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c0_1 (a1447))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H19e zenon_H199 zenon_H23e zenon_Hc6 zenon_H165 zenon_H26d zenon_H17c zenon_H17d zenon_H17e zenon_Ha9 zenon_Hab zenon_H185 zenon_H26f zenon_H26e zenon_H160 zenon_Hb5 zenon_Hb7 zenon_Heb zenon_Hea zenon_He9 zenon_Ha zenon_H187 zenon_He6.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.08 apply (zenon_L291_); trivial.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.08 apply (zenon_L290_); trivial.
% 0.93/1.08 apply (zenon_L96_); trivial.
% 0.93/1.08 (* end of lemma zenon_L292_ *)
% 0.93/1.08 assert (zenon_L293_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(c0_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(hskp0)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H1a4 zenon_H187 zenon_He9 zenon_Hea zenon_Heb zenon_H160 zenon_H185 zenon_Hab zenon_Ha9 zenon_Hc6 zenon_H23e zenon_H199 zenon_H19e zenon_He6 zenon_H1c6 zenon_H1c4 zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H26e zenon_H26f zenon_H26d zenon_Hb7 zenon_H1d6 zenon_H3 zenon_H27f zenon_He5.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.08 apply (zenon_L286_); trivial.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.08 apply (zenon_L292_); trivial.
% 0.93/1.08 apply (zenon_L285_); trivial.
% 0.93/1.08 (* end of lemma zenon_L293_ *)
% 0.93/1.08 assert (zenon_L294_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H168 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H194 zenon_H18d zenon_H18c zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H96 zenon_H165 zenon_H9d.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.08 apply (zenon_L128_); trivial.
% 0.93/1.08 apply (zenon_L164_); trivial.
% 0.93/1.08 (* end of lemma zenon_L294_ *)
% 0.93/1.08 assert (zenon_L295_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp18)) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_Hb9 zenon_H199 zenon_Hb5 zenon_H18c zenon_H18d zenon_H194 zenon_Hb7 zenon_Hc zenon_Hd zenon_He.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.08 apply (zenon_L95_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.08 apply (zenon_L41_); trivial.
% 0.93/1.08 apply (zenon_L6_); trivial.
% 0.93/1.08 (* end of lemma zenon_L295_ *)
% 0.93/1.08 assert (zenon_L296_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_Hb5 zenon_Hb7 zenon_H9d zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H168.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.08 apply (zenon_L294_); trivial.
% 0.93/1.08 apply (zenon_L295_); trivial.
% 0.93/1.08 (* end of lemma zenon_L296_ *)
% 0.93/1.08 assert (zenon_L297_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (~(c1_1 (a1441))) -> (ndr1_0) -> (c0_1 (a1507)) -> (c1_1 (a1507)) -> (c2_1 (a1507)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H177 zenon_H26e zenon_H26f zenon_H26d zenon_H9e zenon_Hab zenon_Ha9 zenon_H171 zenon_H160 zenon_Ha zenon_H79 zenon_H7a zenon_H7b.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 0.93/1.08 apply (zenon_L279_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 0.93/1.08 apply (zenon_L85_); trivial.
% 0.93/1.08 apply (zenon_L32_); trivial.
% 0.93/1.08 (* end of lemma zenon_L297_ *)
% 0.93/1.08 assert (zenon_L298_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c2_1 (a1507)) -> (c1_1 (a1507)) -> (c0_1 (a1507)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1441)) -> (ndr1_0) -> (~(hskp18)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_Hb7 zenon_H7b zenon_H7a zenon_H79 zenon_H26d zenon_H26f zenon_H26e zenon_H177 zenon_Hab zenon_H160 zenon_H171 zenon_Ha9 zenon_Ha zenon_Hb5.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.93/1.08 apply (zenon_L297_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.93/1.08 apply (zenon_L88_); trivial.
% 0.93/1.08 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.08 (* end of lemma zenon_L298_ *)
% 0.93/1.08 assert (zenon_L299_ : ((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp18)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H86 zenon_H283 zenon_Hb5 zenon_Ha9 zenon_H160 zenon_Hab zenon_H177 zenon_H26e zenon_H26f zenon_H26d zenon_Hb7 zenon_H5e zenon_H5f zenon_H60.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 0.93/1.08 apply (zenon_L272_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 0.93/1.08 apply (zenon_L298_); trivial.
% 0.93/1.08 apply (zenon_L25_); trivial.
% 0.93/1.08 (* end of lemma zenon_L299_ *)
% 0.93/1.08 assert (zenon_L300_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H8b zenon_H283 zenon_H60 zenon_H5f zenon_H5e zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hb5 zenon_Hb7 zenon_H26f zenon_H26e zenon_H26d zenon_H73 zenon_H75.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 0.93/1.08 apply (zenon_L31_); trivial.
% 0.93/1.08 apply (zenon_L299_); trivial.
% 0.93/1.08 (* end of lemma zenon_L300_ *)
% 0.93/1.08 assert (zenon_L301_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c3_1 (a1487)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> (c3_1 (a1448)) -> (~(c2_1 (a1448))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1448)) -> (ndr1_0) -> (~(hskp6)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H20a zenon_H8f zenon_H8e zenon_H8d zenon_He zenon_Hc zenon_H171 zenon_Hd zenon_Ha zenon_H207.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H8c | zenon_intro zenon_H20d ].
% 0.93/1.08 apply (zenon_L37_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1fd | zenon_intro zenon_H208 ].
% 0.93/1.08 apply (zenon_L265_); trivial.
% 0.93/1.08 exact (zenon_H207 zenon_H208).
% 0.93/1.08 (* end of lemma zenon_L301_ *)
% 0.93/1.08 assert (zenon_L302_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp6)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H98 zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_H207 zenon_Hd zenon_Hc zenon_He zenon_H20a zenon_H5e zenon_H5f zenon_H60.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 0.93/1.08 apply (zenon_L272_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 0.93/1.08 apply (zenon_L301_); trivial.
% 0.93/1.08 apply (zenon_L25_); trivial.
% 0.93/1.08 (* end of lemma zenon_L302_ *)
% 0.93/1.08 assert (zenon_L303_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1448)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H67 zenon_He5 zenon_H27f zenon_H3 zenon_H8b zenon_H283 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hb7 zenon_H26f zenon_H26e zenon_H26d zenon_H75 zenon_H20a zenon_H207 zenon_He zenon_Hc zenon_Hd zenon_H9d.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.08 apply (zenon_L300_); trivial.
% 0.93/1.08 apply (zenon_L302_); trivial.
% 0.93/1.08 apply (zenon_L285_); trivial.
% 0.93/1.08 (* end of lemma zenon_L303_ *)
% 0.93/1.08 assert (zenon_L304_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp9)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H99 zenon_H26e zenon_H26f zenon_H26d zenon_H9e zenon_Ha zenon_H96 zenon_H84.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H8c | zenon_intro zenon_H9c ].
% 0.93/1.08 apply (zenon_L279_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H97 | zenon_intro zenon_H85 ].
% 0.93/1.08 exact (zenon_H96 zenon_H97).
% 0.93/1.08 exact (zenon_H84 zenon_H85).
% 0.93/1.08 (* end of lemma zenon_L304_ *)
% 0.93/1.08 assert (zenon_L305_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp9)) -> (~(hskp22)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp18)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H1d1 zenon_Hb7 zenon_H84 zenon_H96 zenon_H26d zenon_H26f zenon_H26e zenon_H99 zenon_Hb5.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.93/1.08 apply (zenon_L304_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.93/1.08 apply (zenon_L120_); trivial.
% 0.93/1.08 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.08 (* end of lemma zenon_L305_ *)
% 0.93/1.08 assert (zenon_L306_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_He6 zenon_H1c6 zenon_H1c4 zenon_H11e zenon_H99 zenon_H84 zenon_H26e zenon_H26f zenon_H26d zenon_Hb5 zenon_Hb7 zenon_H1d6.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 0.93/1.08 apply (zenon_L119_); trivial.
% 0.93/1.08 apply (zenon_L305_); trivial.
% 0.93/1.08 apply (zenon_L283_); trivial.
% 0.93/1.08 (* end of lemma zenon_L306_ *)
% 0.93/1.08 assert (zenon_L307_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c2_1 (a1507)) -> (c1_1 (a1507)) -> (c0_1 (a1507)) -> (~(c1_1 (a1441))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (ndr1_0) -> (~(hskp28)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H215 zenon_H7b zenon_H7a zenon_H79 zenon_H160 zenon_H171 zenon_Ha9 zenon_Hab zenon_H26d zenon_H26f zenon_H26e zenon_H177 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Ha zenon_H1f6.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H9e | zenon_intro zenon_H216 ].
% 0.93/1.08 apply (zenon_L297_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H212 | zenon_intro zenon_H1f7 ].
% 0.93/1.08 apply (zenon_L170_); trivial.
% 0.93/1.08 exact (zenon_H1f6 zenon_H1f7).
% 0.93/1.08 (* end of lemma zenon_L307_ *)
% 0.93/1.08 assert (zenon_L308_ : ((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp28)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c3_1 (a1517))) -> (c2_1 (a1517)) -> (~(c0_1 (a1517))) -> (~(hskp14)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H86 zenon_H283 zenon_H1f6 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H177 zenon_H26e zenon_H26f zenon_H26d zenon_Hab zenon_Ha9 zenon_H160 zenon_H215 zenon_H142 zenon_H133 zenon_H134 zenon_H132 zenon_H4f.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 0.93/1.08 apply (zenon_L272_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 0.93/1.08 apply (zenon_L307_); trivial.
% 0.93/1.08 apply (zenon_L73_); trivial.
% 0.93/1.08 (* end of lemma zenon_L308_ *)
% 0.93/1.08 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (~(hskp13)) -> (~(c0_1 (a1517))) -> (c2_1 (a1517)) -> (~(c3_1 (a1517))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(hskp7)) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H209 zenon_H48 zenon_H1c4 zenon_H132 zenon_H134 zenon_H133 zenon_H285 zenon_H3e zenon_H3d zenon_H3c zenon_H45.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H31 | zenon_intro zenon_H4b ].
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H5d | zenon_intro zenon_H286 ].
% 0.93/1.08 apply (zenon_L72_); trivial.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1c5 ].
% 0.93/1.08 apply (zenon_L159_); trivial.
% 0.93/1.08 exact (zenon_H1c4 zenon_H1c5).
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H3b | zenon_intro zenon_H46 ].
% 0.93/1.08 apply (zenon_L17_); trivial.
% 0.93/1.08 exact (zenon_H45 zenon_H46).
% 0.93/1.08 (* end of lemma zenon_L309_ *)
% 0.93/1.08 assert (zenon_L310_ : ((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((hskp30)\/(hskp24)) -> (~(hskp24)) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H144 zenon_H20e zenon_H48 zenon_H45 zenon_H3e zenon_H3d zenon_H3c zenon_H1c4 zenon_H285 zenon_H75 zenon_H73 zenon_H26d zenon_H26e zenon_H26f zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H142 zenon_H4f zenon_H283 zenon_H8b.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H134. zenon_intro zenon_H147.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H132. zenon_intro zenon_H133.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 0.93/1.08 apply (zenon_L31_); trivial.
% 0.93/1.08 apply (zenon_L308_); trivial.
% 0.93/1.08 apply (zenon_L309_); trivial.
% 0.93/1.08 (* end of lemma zenon_L310_ *)
% 0.93/1.08 assert (zenon_L311_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H4c zenon_H20e zenon_H217 zenon_H101 zenon_Hc6 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1f8 zenon_H124 zenon_H8b zenon_H283 zenon_H4f zenon_H142 zenon_H177 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215 zenon_H26f zenon_H26e zenon_H26d zenon_H73 zenon_H75 zenon_H285 zenon_H1c4 zenon_H3c zenon_H3d zenon_H3e zenon_H45 zenon_H48 zenon_H149.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.08 apply (zenon_L192_); trivial.
% 0.93/1.08 apply (zenon_L310_); trivial.
% 0.93/1.08 apply (zenon_L19_); trivial.
% 0.93/1.08 (* end of lemma zenon_L311_ *)
% 0.93/1.08 assert (zenon_L312_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_Hb9 zenon_H4c zenon_H48 zenon_H45 zenon_H3e zenon_H3d zenon_H3c zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Hc6 zenon_H217 zenon_H20e.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.93/1.08 apply (zenon_L181_); trivial.
% 0.93/1.08 apply (zenon_L19_); trivial.
% 0.93/1.08 (* end of lemma zenon_L312_ *)
% 0.93/1.08 assert (zenon_L313_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 0.93/1.08 do 0 intro. intros zenon_H19f zenon_He5 zenon_H4c zenon_H48 zenon_H45 zenon_H3e zenon_H3d zenon_H3c zenon_H215 zenon_Hc6 zenon_H217 zenon_H20e zenon_He6 zenon_Hb7 zenon_Ha9 zenon_H160 zenon_Hab zenon_H187 zenon_Hde zenon_H189 zenon_H199 zenon_H19e.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.08 apply (zenon_L140_); trivial.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.08 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.08 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.08 apply (zenon_L92_); trivial.
% 0.93/1.08 apply (zenon_L312_); trivial.
% 0.93/1.08 (* end of lemma zenon_L313_ *)
% 0.93/1.08 assert (zenon_L314_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H185 zenon_H26e zenon_H26f zenon_H26d zenon_H9e zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Hb zenon_Ha zenon_Ha9 zenon_H171 zenon_H160 zenon_Hab.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 0.93/1.09 apply (zenon_L279_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 0.93/1.09 apply (zenon_L166_); trivial.
% 0.93/1.09 apply (zenon_L88_); trivial.
% 0.93/1.09 (* end of lemma zenon_L314_ *)
% 0.93/1.09 assert (zenon_L315_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (c0_1 (a1441)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (ndr1_0) -> (~(hskp28)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H215 zenon_H96 zenon_H185 zenon_H26e zenon_H26f zenon_H26d zenon_Ha9 zenon_H171 zenon_H160 zenon_Hab zenon_H165 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Ha zenon_H1f6.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H9e | zenon_intro zenon_H216 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8c | zenon_intro zenon_H166 ].
% 0.93/1.09 apply (zenon_L279_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ].
% 0.93/1.09 apply (zenon_L314_); trivial.
% 0.93/1.09 exact (zenon_H96 zenon_H97).
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H212 | zenon_intro zenon_H1f7 ].
% 0.93/1.09 apply (zenon_L170_); trivial.
% 0.93/1.09 exact (zenon_H1f6 zenon_H1f7).
% 0.93/1.09 (* end of lemma zenon_L315_ *)
% 0.93/1.09 assert (zenon_L316_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp28)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H283 zenon_H1f6 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H165 zenon_Hab zenon_H160 zenon_Ha9 zenon_H26d zenon_H26f zenon_H26e zenon_H185 zenon_H96 zenon_H215 zenon_Ha zenon_H5e zenon_H5f zenon_H60.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 0.93/1.09 apply (zenon_L272_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 0.93/1.09 apply (zenon_L315_); trivial.
% 0.93/1.09 apply (zenon_L25_); trivial.
% 0.93/1.09 (* end of lemma zenon_L316_ *)
% 0.93/1.09 assert (zenon_L317_ : ((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H144 zenon_H20e zenon_H48 zenon_H45 zenon_H3e zenon_H3d zenon_H3c zenon_H1c4 zenon_H285 zenon_H26d zenon_H26e zenon_H26f zenon_H215 zenon_H185 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H96 zenon_H165 zenon_H5e zenon_H5f zenon_H60 zenon_H283.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H134. zenon_intro zenon_H147.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H132. zenon_intro zenon_H133.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.09 apply (zenon_L316_); trivial.
% 0.93/1.09 apply (zenon_L309_); trivial.
% 0.93/1.09 (* end of lemma zenon_L317_ *)
% 0.93/1.09 assert (zenon_L318_ : ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c3_1 (a1449))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H121 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H31 zenon_Ha zenon_H11c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H105 | zenon_intro zenon_H123 ].
% 0.93/1.09 apply (zenon_L124_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H78 | zenon_intro zenon_H11d ].
% 0.93/1.09 apply (zenon_L246_); trivial.
% 0.93/1.09 exact (zenon_H11c zenon_H11d).
% 0.93/1.09 (* end of lemma zenon_L318_ *)
% 0.93/1.09 assert (zenon_L319_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (~(hskp23)) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c3_1 (a1449))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (ndr1_0) -> (~(hskp7)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H48 zenon_H11c zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H121 zenon_H3e zenon_H3d zenon_H3c zenon_Ha zenon_H45.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H31 | zenon_intro zenon_H4b ].
% 0.93/1.09 apply (zenon_L318_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H3b | zenon_intro zenon_H46 ].
% 0.93/1.09 apply (zenon_L17_); trivial.
% 0.93/1.09 exact (zenon_H45 zenon_H46).
% 0.93/1.09 (* end of lemma zenon_L319_ *)
% 0.93/1.09 assert (zenon_L320_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H168 zenon_H167 zenon_H96 zenon_H165 zenon_H187 zenon_H16f zenon_Hab zenon_Ha9 zenon_H160 zenon_H4f zenon_H142 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H3c zenon_H3d zenon_H3e zenon_H45 zenon_H48.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.09 apply (zenon_L319_); trivial.
% 0.93/1.09 apply (zenon_L153_); trivial.
% 0.93/1.09 (* end of lemma zenon_L320_ *)
% 0.93/1.09 assert (zenon_L321_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_Ha9 zenon_Hab zenon_Hb5 zenon_Hb7 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H3c zenon_H3d zenon_H3e zenon_H45 zenon_H48.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.09 apply (zenon_L319_); trivial.
% 0.93/1.09 apply (zenon_L163_); trivial.
% 0.93/1.09 (* end of lemma zenon_L321_ *)
% 0.93/1.09 assert (zenon_L322_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H168 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H96 zenon_H165 zenon_H194 zenon_H18d zenon_H18c zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H3c zenon_H3d zenon_H3e zenon_H45 zenon_H48.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.09 apply (zenon_L319_); trivial.
% 0.93/1.09 apply (zenon_L164_); trivial.
% 0.93/1.09 (* end of lemma zenon_L322_ *)
% 0.93/1.09 assert (zenon_L323_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_Hb5 zenon_Hb7 zenon_H48 zenon_H45 zenon_H3e zenon_H3d zenon_H3c zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H165 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H168.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.09 apply (zenon_L322_); trivial.
% 0.93/1.09 apply (zenon_L96_); trivial.
% 0.93/1.09 (* end of lemma zenon_L323_ *)
% 0.93/1.09 assert (zenon_L324_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_H18c zenon_H18d zenon_H194 zenon_Ha9 zenon_Hab zenon_H167 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H3c zenon_H3d zenon_H3e zenon_H45 zenon_H48.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.09 apply (zenon_L319_); trivial.
% 0.93/1.09 apply (zenon_L185_); trivial.
% 0.93/1.09 (* end of lemma zenon_L324_ *)
% 0.93/1.09 assert (zenon_L325_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_H48 zenon_H45 zenon_H3e zenon_H3d zenon_H3c zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H165 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H168.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.09 apply (zenon_L322_); trivial.
% 0.93/1.09 apply (zenon_L324_); trivial.
% 0.93/1.09 (* end of lemma zenon_L325_ *)
% 0.93/1.09 assert (zenon_L326_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_Hab zenon_Ha9 zenon_H160 zenon_H154 zenon_Ha zenon_H5e zenon_H5f zenon_H60.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 0.93/1.09 apply (zenon_L272_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 0.93/1.09 apply (zenon_L85_); trivial.
% 0.93/1.09 apply (zenon_L25_); trivial.
% 0.93/1.09 (* end of lemma zenon_L326_ *)
% 0.93/1.09 assert (zenon_L327_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_Hab zenon_H160 zenon_Ha9 zenon_Ha8 zenon_Ha zenon_H5e zenon_H5f zenon_H60.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 0.93/1.09 apply (zenon_L272_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 0.93/1.09 apply (zenon_L88_); trivial.
% 0.93/1.09 apply (zenon_L25_); trivial.
% 0.93/1.09 (* end of lemma zenon_L327_ *)
% 0.93/1.09 assert (zenon_L328_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H169 zenon_H167 zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_Hab zenon_H160 zenon_Ha9 zenon_H5e zenon_H5f zenon_H60.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.09 apply (zenon_L76_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.09 apply (zenon_L326_); trivial.
% 0.93/1.09 apply (zenon_L327_); trivial.
% 0.93/1.09 (* end of lemma zenon_L328_ *)
% 0.93/1.09 assert (zenon_L329_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H1eb zenon_H6c zenon_H26d zenon_H26e zenon_H26f zenon_H283 zenon_H19e zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H142 zenon_H121 zenon_H3c zenon_H3d zenon_H3e zenon_H45 zenon_H48 zenon_Hb7 zenon_H199 zenon_He6 zenon_H4c zenon_H215 zenon_Hc6 zenon_H217 zenon_H20e zenon_He5.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.09 apply (zenon_L320_); trivial.
% 0.93/1.09 apply (zenon_L321_); trivial.
% 0.93/1.09 apply (zenon_L323_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.09 apply (zenon_L320_); trivial.
% 0.93/1.09 apply (zenon_L312_); trivial.
% 0.93/1.09 apply (zenon_L325_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.09 apply (zenon_L319_); trivial.
% 0.93/1.09 apply (zenon_L328_); trivial.
% 0.93/1.09 (* end of lemma zenon_L329_ *)
% 0.93/1.09 assert (zenon_L330_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp22)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H169 zenon_H199 zenon_H96 zenon_H26d zenon_H26f zenon_H26e zenon_H165 zenon_Hc zenon_Hd zenon_He.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.09 apply (zenon_L76_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.09 apply (zenon_L280_); trivial.
% 0.93/1.09 apply (zenon_L6_); trivial.
% 0.93/1.09 (* end of lemma zenon_L330_ *)
% 0.93/1.09 assert (zenon_L331_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H168 zenon_H199 zenon_H26d zenon_H26f zenon_H26e zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H96 zenon_H165 zenon_H9d.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.09 apply (zenon_L128_); trivial.
% 0.93/1.09 apply (zenon_L330_); trivial.
% 0.93/1.09 (* end of lemma zenon_L331_ *)
% 0.93/1.09 assert (zenon_L332_ : ((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(hskp7)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H125 zenon_H287 zenon_H12a zenon_H129 zenon_H128 zenon_H45.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10e. zenon_intro zenon_H127.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H110. zenon_intro zenon_H10f.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H288 ].
% 0.93/1.09 apply (zenon_L70_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H46 ].
% 0.93/1.09 apply (zenon_L155_); trivial.
% 0.93/1.09 exact (zenon_H45 zenon_H46).
% 0.93/1.09 (* end of lemma zenon_L332_ *)
% 0.93/1.09 assert (zenon_L333_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(hskp0)) -> (~(hskp26)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H124 zenon_H287 zenon_H45 zenon_H12a zenon_H129 zenon_H128 zenon_Hc6 zenon_Hff zenon_H101.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H102 | zenon_intro zenon_H125 ].
% 0.93/1.09 apply (zenon_L63_); trivial.
% 0.93/1.09 apply (zenon_L332_); trivial.
% 0.93/1.09 (* end of lemma zenon_L333_ *)
% 0.93/1.09 assert (zenon_L334_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> (~(hskp10)) -> (~(hskp1)) -> ((hskp12)\/((hskp10)\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((hskp5)\/(hskp11))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H1a3 zenon_H72 zenon_H1ea zenon_H6c zenon_H177 zenon_H168 zenon_H8b zenon_H121 zenon_H75 zenon_H9d zenon_H149 zenon_H283 zenon_H142 zenon_H207 zenon_H20a zenon_H101 zenon_H128 zenon_H129 zenon_H12a zenon_H45 zenon_H287 zenon_H124 zenon_H167 zenon_He5 zenon_H27f zenon_H1d6 zenon_Hb7 zenon_H165 zenon_H1c6 zenon_He6 zenon_H19e zenon_H199 zenon_H23e zenon_Hc6 zenon_Ha9 zenon_Hab zenon_H185 zenon_H160 zenon_H187 zenon_H1a4 zenon_H3 zenon_H5 zenon_H7 zenon_Ha zenon_H26d zenon_H26e zenon_H26f zenon_H15 zenon_H15e.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.93/1.09 apply (zenon_L273_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.09 apply (zenon_L4_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.93/1.09 apply (zenon_L293_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.09 apply (zenon_L331_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.09 apply (zenon_L126_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.09 apply (zenon_L333_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H134. zenon_intro zenon_H147.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H132. zenon_intro zenon_H133.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 0.93/1.09 apply (zenon_L272_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 0.93/1.09 apply (zenon_L301_); trivial.
% 0.93/1.09 apply (zenon_L73_); trivial.
% 0.93/1.09 apply (zenon_L191_); trivial.
% 0.93/1.09 apply (zenon_L296_); trivial.
% 0.93/1.09 apply (zenon_L285_); trivial.
% 0.93/1.09 apply (zenon_L303_); trivial.
% 0.93/1.09 (* end of lemma zenon_L334_ *)
% 0.93/1.09 assert (zenon_L335_ : ((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H144 zenon_H8b zenon_H283 zenon_H4f zenon_H142 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hb5 zenon_Hb7 zenon_H26f zenon_H26e zenon_H26d zenon_H73 zenon_H75.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H134. zenon_intro zenon_H147.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H132. zenon_intro zenon_H133.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 0.93/1.09 apply (zenon_L31_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 0.93/1.09 apply (zenon_L272_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 0.93/1.09 apply (zenon_L298_); trivial.
% 0.93/1.09 apply (zenon_L73_); trivial.
% 0.93/1.09 (* end of lemma zenon_L335_ *)
% 0.93/1.09 assert (zenon_L336_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp25)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H149 zenon_H8b zenon_H283 zenon_H4f zenon_H142 zenon_H177 zenon_Hb5 zenon_Hb7 zenon_H26f zenon_H26e zenon_H26d zenon_H73 zenon_H75 zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H2d zenon_H217 zenon_H20e.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.09 apply (zenon_L192_); trivial.
% 0.93/1.09 apply (zenon_L335_); trivial.
% 0.93/1.09 (* end of lemma zenon_L336_ *)
% 0.93/1.09 assert (zenon_L337_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H98 zenon_H149 zenon_H145 zenon_H4f zenon_H142 zenon_H96 zenon_H165 zenon_H101 zenon_Hc6 zenon_H128 zenon_H129 zenon_H12a zenon_H45 zenon_H287 zenon_H124.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.09 apply (zenon_L333_); trivial.
% 0.93/1.09 apply (zenon_L196_); trivial.
% 0.93/1.09 (* end of lemma zenon_L337_ *)
% 0.93/1.09 assert (zenon_L338_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_He6 zenon_H1d6 zenon_H11e zenon_H1c4 zenon_H1c6 zenon_H8b zenon_H283 zenon_H60 zenon_H5f zenon_H5e zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hb5 zenon_Hb7 zenon_H26f zenon_H26e zenon_H26d zenon_H75 zenon_H165 zenon_H128 zenon_H129 zenon_H12a zenon_H145 zenon_H9d.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.09 apply (zenon_L300_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 0.93/1.09 apply (zenon_L195_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 0.93/1.09 apply (zenon_L70_); trivial.
% 0.93/1.09 apply (zenon_L25_); trivial.
% 0.93/1.09 apply (zenon_L283_); trivial.
% 0.93/1.09 (* end of lemma zenon_L338_ *)
% 0.93/1.09 assert (zenon_L339_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H149 zenon_H20e zenon_H48 zenon_H3e zenon_H3d zenon_H3c zenon_H1c4 zenon_H285 zenon_H26d zenon_H26e zenon_H26f zenon_H215 zenon_H185 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H96 zenon_H165 zenon_H5e zenon_H5f zenon_H60 zenon_H283 zenon_H101 zenon_Hc6 zenon_H128 zenon_H129 zenon_H12a zenon_H45 zenon_H287 zenon_H124.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.09 apply (zenon_L333_); trivial.
% 0.93/1.09 apply (zenon_L317_); trivial.
% 0.93/1.09 (* end of lemma zenon_L339_ *)
% 0.93/1.09 assert (zenon_L340_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_He2 zenon_He6 zenon_H4c zenon_H217 zenon_H124 zenon_H287 zenon_H45 zenon_H12a zenon_H129 zenon_H128 zenon_Hc6 zenon_H101 zenon_H283 zenon_H60 zenon_H5f zenon_H5e zenon_H165 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H215 zenon_H26f zenon_H26e zenon_H26d zenon_H285 zenon_H1c4 zenon_H3c zenon_H3d zenon_H3e zenon_H48 zenon_H20e zenon_H149.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.09 apply (zenon_L339_); trivial.
% 0.93/1.09 apply (zenon_L312_); trivial.
% 0.93/1.09 (* end of lemma zenon_L340_ *)
% 0.93/1.09 assert (zenon_L341_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_He5 zenon_H6e zenon_H15 zenon_Hc6 zenon_Hde zenon_He0 zenon_H56 zenon_H55 zenon_H54 zenon_H1d6 zenon_Hb7 zenon_H26d zenon_H26f zenon_H26e zenon_H84 zenon_H99 zenon_H11e zenon_H1c4 zenon_H1c6 zenon_He6.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.09 apply (zenon_L306_); trivial.
% 0.93/1.09 apply (zenon_L55_); trivial.
% 0.93/1.09 (* end of lemma zenon_L341_ *)
% 0.93/1.09 assert (zenon_L342_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (~(hskp18)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_Hb7 zenon_H17c zenon_H17d zenon_H17e zenon_H26d zenon_H26f zenon_H26e zenon_H185 zenon_Hab zenon_Ha9 zenon_Ha zenon_Hb zenon_Hb5.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.93/1.09 apply (zenon_L288_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.93/1.09 apply (zenon_L43_); trivial.
% 0.93/1.09 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.09 (* end of lemma zenon_L342_ *)
% 0.93/1.09 assert (zenon_L343_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(hskp18)) -> (ndr1_0) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp5)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H6e zenon_H56 zenon_H55 zenon_H54 zenon_Hb5 zenon_Ha zenon_Ha9 zenon_Hab zenon_H185 zenon_H26e zenon_H26f zenon_H26d zenon_H17e zenon_H17d zenon_H17c zenon_Hb7 zenon_H15.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ].
% 0.93/1.09 apply (zenon_L24_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_Hb | zenon_intro zenon_H16 ].
% 0.93/1.09 apply (zenon_L342_); trivial.
% 0.93/1.09 exact (zenon_H15 zenon_H16).
% 0.93/1.09 (* end of lemma zenon_L343_ *)
% 0.93/1.09 assert (zenon_L344_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H19f zenon_He5 zenon_Hc6 zenon_Hde zenon_He0 zenon_H54 zenon_H55 zenon_H56 zenon_Hb7 zenon_H26d zenon_H26f zenon_H26e zenon_Ha9 zenon_Hab zenon_H185 zenon_H15 zenon_H6e.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.09 apply (zenon_L343_); trivial.
% 0.93/1.09 apply (zenon_L55_); trivial.
% 0.93/1.09 (* end of lemma zenon_L344_ *)
% 0.93/1.09 assert (zenon_L345_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp9)) -> (~(hskp22)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H169 zenon_H199 zenon_H84 zenon_H96 zenon_H26d zenon_H26f zenon_H26e zenon_H99 zenon_H167 zenon_H194 zenon_H18d zenon_H18c zenon_Ha9 zenon_Hab.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.09 apply (zenon_L76_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.09 apply (zenon_L304_); trivial.
% 0.93/1.09 apply (zenon_L184_); trivial.
% 0.93/1.09 (* end of lemma zenon_L345_ *)
% 0.93/1.09 assert (zenon_L346_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(hskp22)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H168 zenon_H199 zenon_H18c zenon_H18d zenon_H194 zenon_Ha9 zenon_Hab zenon_H167 zenon_H26d zenon_H26f zenon_H26e zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H96 zenon_H84 zenon_H99 zenon_H9d.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.09 apply (zenon_L147_); trivial.
% 0.93/1.09 apply (zenon_L345_); trivial.
% 0.93/1.09 (* end of lemma zenon_L346_ *)
% 0.93/1.09 assert (zenon_L347_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H19b zenon_He6 zenon_Hb5 zenon_Hb7 zenon_H9d zenon_H99 zenon_H84 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H26e zenon_H26f zenon_H26d zenon_H167 zenon_Hab zenon_Ha9 zenon_H199 zenon_H168.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.09 apply (zenon_L346_); trivial.
% 0.93/1.09 apply (zenon_L96_); trivial.
% 0.93/1.09 (* end of lemma zenon_L347_ *)
% 0.93/1.09 assert (zenon_L348_ : ((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c1_1 (a1441))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H47 zenon_H149 zenon_H8b zenon_H283 zenon_H4f zenon_H142 zenon_H177 zenon_H160 zenon_H26f zenon_H26e zenon_H26d zenon_H73 zenon_H75 zenon_H101 zenon_Hc6 zenon_H54 zenon_H55 zenon_H56 zenon_H120 zenon_H11e zenon_H121 zenon_H11c zenon_Ha9 zenon_Hab zenon_Hb5 zenon_Hb7 zenon_H15 zenon_H6e zenon_H124.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_Ha. zenon_intro zenon_H49.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H33. zenon_intro zenon_H4a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H34. zenon_intro zenon_H32.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.09 apply (zenon_L69_); trivial.
% 0.93/1.09 apply (zenon_L335_); trivial.
% 0.93/1.09 (* end of lemma zenon_L348_ *)
% 0.93/1.09 assert (zenon_L349_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp23)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H98 zenon_H4c zenon_H54 zenon_H55 zenon_H56 zenon_H120 zenon_H11e zenon_H121 zenon_H11c zenon_Hb5 zenon_Hb7 zenon_H15 zenon_H6e zenon_H20e zenon_H217 zenon_H101 zenon_Hc6 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1f8 zenon_H124 zenon_H165 zenon_H96 zenon_H128 zenon_H129 zenon_H12a zenon_H142 zenon_H4f zenon_H145 zenon_H149.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.93/1.09 apply (zenon_L197_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_Ha. zenon_intro zenon_H49.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H33. zenon_intro zenon_H4a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H34. zenon_intro zenon_H32.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.09 apply (zenon_L69_); trivial.
% 0.93/1.09 apply (zenon_L196_); trivial.
% 0.93/1.09 (* end of lemma zenon_L349_ *)
% 0.93/1.09 assert (zenon_L350_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((hskp0)\/(hskp4))) -> (~(hskp0)) -> (~(hskp4)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H169 zenon_H289 zenon_Hc6 zenon_H1b6.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H14a | zenon_intro zenon_H28a ].
% 0.93/1.09 apply (zenon_L76_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1b7 ].
% 0.93/1.09 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.09 exact (zenon_H1b6 zenon_H1b7).
% 0.93/1.09 (* end of lemma zenon_L350_ *)
% 0.93/1.09 assert (zenon_L351_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H19e zenon_He6 zenon_H199 zenon_Hb5 zenon_Hb7 zenon_H9d zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H121 zenon_H8b zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H168 zenon_H187 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H229 zenon_H228 zenon_H227 zenon_Ha zenon_H4f zenon_H142.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.09 apply (zenon_L205_); trivial.
% 0.93/1.09 apply (zenon_L296_); trivial.
% 0.93/1.09 (* end of lemma zenon_L351_ *)
% 0.93/1.09 assert (zenon_L352_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H67 zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_H229 zenon_H228 zenon_H227.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 0.93/1.09 apply (zenon_L272_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 0.93/1.09 apply (zenon_L202_); trivial.
% 0.93/1.09 apply (zenon_L25_); trivial.
% 0.93/1.09 (* end of lemma zenon_L352_ *)
% 0.93/1.09 assert (zenon_L353_ : ((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H144 zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_H229 zenon_H228 zenon_H227 zenon_H142 zenon_H4f.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H134. zenon_intro zenon_H147.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H132. zenon_intro zenon_H133.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 0.93/1.09 apply (zenon_L272_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 0.93/1.09 apply (zenon_L202_); trivial.
% 0.93/1.09 apply (zenon_L73_); trivial.
% 0.93/1.09 (* end of lemma zenon_L353_ *)
% 0.93/1.09 assert (zenon_L354_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp25)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H149 zenon_H283 zenon_H4f zenon_H142 zenon_H229 zenon_H228 zenon_H227 zenon_H26f zenon_H26e zenon_H26d zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H2d zenon_H217 zenon_H20e.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.09 apply (zenon_L192_); trivial.
% 0.93/1.09 apply (zenon_L353_); trivial.
% 0.93/1.09 (* end of lemma zenon_L354_ *)
% 0.93/1.09 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H230 zenon_H6c zenon_H149 zenon_H283 zenon_H142 zenon_H229 zenon_H228 zenon_H227 zenon_H26f zenon_H26e zenon_H26d zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H217 zenon_H20e zenon_H45 zenon_H48 zenon_H4c.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.93/1.09 apply (zenon_L354_); trivial.
% 0.93/1.09 apply (zenon_L19_); trivial.
% 0.93/1.09 apply (zenon_L352_); trivial.
% 0.93/1.09 (* end of lemma zenon_L355_ *)
% 0.93/1.09 assert (zenon_L356_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp8)) -> (~(hskp12)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H6c zenon_H283 zenon_H229 zenon_H228 zenon_H227 zenon_H26f zenon_H26e zenon_H26d zenon_H4d zenon_H1 zenon_H51.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.09 apply (zenon_L23_); trivial.
% 0.93/1.09 apply (zenon_L352_); trivial.
% 0.93/1.09 (* end of lemma zenon_L356_ *)
% 0.93/1.09 assert (zenon_L357_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> (~(hskp8)) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H72 zenon_H6e zenon_H15 zenon_H56 zenon_H55 zenon_H54 zenon_H51 zenon_H4d zenon_H26d zenon_H26e zenon_H26f zenon_H227 zenon_H228 zenon_H229 zenon_H283 zenon_H6c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.09 apply (zenon_L356_); trivial.
% 0.93/1.09 apply (zenon_L28_); trivial.
% 0.93/1.09 (* end of lemma zenon_L357_ *)
% 0.93/1.09 assert (zenon_L358_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (ndr1_0) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H19e zenon_He6 zenon_H199 zenon_Ha9 zenon_Hab zenon_Hb5 zenon_Hb7 zenon_Hde zenon_H189 zenon_Ha zenon_H227 zenon_H228 zenon_H229 zenon_H17c zenon_H17d zenon_H17e zenon_H187.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.09 apply (zenon_L250_); trivial.
% 0.93/1.09 apply (zenon_L97_); trivial.
% 0.93/1.09 (* end of lemma zenon_L358_ *)
% 0.93/1.09 assert (zenon_L359_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H19f zenon_He5 zenon_H6e zenon_H15 zenon_Hc6 zenon_He0 zenon_H56 zenon_H55 zenon_H54 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H189 zenon_Hde zenon_Hb7 zenon_Hab zenon_Ha9 zenon_H199 zenon_He6 zenon_H19e.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.09 apply (zenon_L358_); trivial.
% 0.93/1.09 apply (zenon_L55_); trivial.
% 0.93/1.09 (* end of lemma zenon_L359_ *)
% 0.93/1.09 assert (zenon_L360_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H19e zenon_He6 zenon_Hb5 zenon_Hb7 zenon_H9d zenon_H99 zenon_H84 zenon_H75 zenon_H121 zenon_H8b zenon_H26e zenon_H26f zenon_H26d zenon_H167 zenon_Hab zenon_Ha9 zenon_H199 zenon_H168 zenon_H187 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H229 zenon_H228 zenon_H227 zenon_Ha zenon_H4f zenon_H142.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.09 apply (zenon_L205_); trivial.
% 0.93/1.09 apply (zenon_L347_); trivial.
% 0.93/1.09 (* end of lemma zenon_L360_ *)
% 0.93/1.09 assert (zenon_L361_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_H1af zenon_H1ae zenon_H1ad zenon_Hd8 zenon_Ha zenon_H5e zenon_H5f zenon_H60.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 0.93/1.09 apply (zenon_L272_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 0.93/1.09 apply (zenon_L218_); trivial.
% 0.93/1.09 apply (zenon_L25_); trivial.
% 0.93/1.09 (* end of lemma zenon_L361_ *)
% 0.93/1.09 assert (zenon_L362_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp18)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H28b zenon_H60 zenon_H5f zenon_H5e zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af zenon_H26d zenon_H26e zenon_H26f zenon_H283 zenon_Hb5.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H1ac | zenon_intro zenon_H28c ].
% 0.93/1.09 apply (zenon_L104_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hb6 ].
% 0.93/1.09 apply (zenon_L361_); trivial.
% 0.93/1.09 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.09 (* end of lemma zenon_L362_ *)
% 0.93/1.09 assert (zenon_L363_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp9)) -> (~(hskp22)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (ndr1_0) -> (~(hskp28)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H215 zenon_H84 zenon_H96 zenon_H26d zenon_H26f zenon_H26e zenon_H99 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Ha zenon_H1f6.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H9e | zenon_intro zenon_H216 ].
% 0.93/1.09 apply (zenon_L304_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H212 | zenon_intro zenon_H1f7 ].
% 0.93/1.09 apply (zenon_L170_); trivial.
% 0.93/1.09 exact (zenon_H1f6 zenon_H1f7).
% 0.93/1.09 (* end of lemma zenon_L363_ *)
% 0.93/1.09 assert (zenon_L364_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c3_1 (a1438)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1456)) -> (c1_1 (a1456)) -> (c0_1 (a1456)) -> (ndr1_0) -> (~(hskp6)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H20a zenon_H56 zenon_H154 zenon_H55 zenon_H200 zenon_H1ff zenon_H1fe zenon_Ha zenon_H207.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H8c | zenon_intro zenon_H20d ].
% 0.93/1.09 apply (zenon_L82_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1fd | zenon_intro zenon_H208 ].
% 0.93/1.09 apply (zenon_L159_); trivial.
% 0.93/1.09 exact (zenon_H207 zenon_H208).
% 0.93/1.09 (* end of lemma zenon_L364_ *)
% 0.93/1.09 assert (zenon_L365_ : ((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H209 zenon_H8b zenon_H177 zenon_H207 zenon_H20a zenon_H55 zenon_H56 zenon_H17c zenon_H17d zenon_H17e zenon_H4d zenon_H1e8 zenon_H73 zenon_H75.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 0.93/1.09 apply (zenon_L31_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 0.93/1.09 apply (zenon_L240_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 0.93/1.09 apply (zenon_L364_); trivial.
% 0.93/1.09 apply (zenon_L32_); trivial.
% 0.93/1.09 (* end of lemma zenon_L365_ *)
% 0.93/1.09 assert (zenon_L366_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(hskp22)) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H98 zenon_H20e zenon_H20a zenon_H207 zenon_H99 zenon_H84 zenon_H96 zenon_H26e zenon_H26f zenon_H26d zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.09 apply (zenon_L363_); trivial.
% 0.93/1.09 apply (zenon_L161_); trivial.
% 0.93/1.09 (* end of lemma zenon_L366_ *)
% 0.93/1.09 assert (zenon_L367_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> ((hskp30)\/(hskp24)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_Hb9 zenon_H9d zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H75 zenon_H1e8 zenon_H4d zenon_H17e zenon_H17d zenon_H17c zenon_H56 zenon_H55 zenon_H20a zenon_H207 zenon_H177 zenon_H8b zenon_H20e.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.09 apply (zenon_L171_); trivial.
% 0.93/1.09 apply (zenon_L365_); trivial.
% 0.93/1.09 apply (zenon_L172_); trivial.
% 0.93/1.09 (* end of lemma zenon_L367_ *)
% 0.93/1.09 assert (zenon_L368_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_He2 zenon_He6 zenon_H20e zenon_H8b zenon_H177 zenon_H207 zenon_H20a zenon_H55 zenon_H56 zenon_H17c zenon_H17d zenon_H17e zenon_H4d zenon_H1e8 zenon_H75 zenon_H99 zenon_H84 zenon_H26e zenon_H26f zenon_H26d zenon_H215 zenon_H9d.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.09 apply (zenon_L363_); trivial.
% 0.93/1.09 apply (zenon_L365_); trivial.
% 0.93/1.09 apply (zenon_L366_); trivial.
% 0.93/1.09 apply (zenon_L367_); trivial.
% 0.93/1.09 (* end of lemma zenon_L368_ *)
% 0.93/1.09 assert (zenon_L369_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H19f zenon_He5 zenon_He6 zenon_H20e zenon_H8b zenon_H177 zenon_H207 zenon_H20a zenon_H55 zenon_H56 zenon_H4d zenon_H1e8 zenon_H75 zenon_H99 zenon_H84 zenon_H215 zenon_H9d zenon_H1ad zenon_H1ae zenon_H1af zenon_H283 zenon_H60 zenon_H5f zenon_H5e zenon_H26f zenon_H26e zenon_H26d zenon_H28b.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.09 apply (zenon_L362_); trivial.
% 0.93/1.09 apply (zenon_L368_); trivial.
% 0.93/1.09 (* end of lemma zenon_L369_ *)
% 0.93/1.09 assert (zenon_L370_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp8)) -> (~(c3_1 (a1449))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp6)) -> (c0_1 (a1456)) -> (c1_1 (a1456)) -> (c3_1 (a1456)) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H177 zenon_H4d zenon_H1d7 zenon_H1e8 zenon_H207 zenon_H1fe zenon_H1ff zenon_H200 zenon_H55 zenon_H56 zenon_H20a zenon_Ha zenon_H31 zenon_H1d8 zenon_H1d9.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 0.93/1.09 apply (zenon_L244_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 0.93/1.09 apply (zenon_L364_); trivial.
% 0.93/1.09 apply (zenon_L246_); trivial.
% 0.93/1.09 (* end of lemma zenon_L370_ *)
% 0.93/1.09 assert (zenon_L371_ : ((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c3_1 (a1449))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H209 zenon_H1ba zenon_H1d9 zenon_H1d8 zenon_H20a zenon_H56 zenon_H55 zenon_H207 zenon_H1e8 zenon_H1d7 zenon_H4d zenon_H177 zenon_H60 zenon_H5f zenon_H5e zenon_H1ad zenon_H1ae zenon_H1af.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 0.93/1.09 apply (zenon_L370_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 0.93/1.09 apply (zenon_L25_); trivial.
% 0.93/1.09 apply (zenon_L104_); trivial.
% 0.93/1.09 (* end of lemma zenon_L371_ *)
% 0.93/1.09 assert (zenon_L372_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_Hb9 zenon_H20e zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H60 zenon_H5f zenon_H5e zenon_H1e8 zenon_H4d zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H56 zenon_H55 zenon_H20a zenon_H207 zenon_H177 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.09 apply (zenon_L171_); trivial.
% 0.93/1.09 apply (zenon_L371_); trivial.
% 0.93/1.09 (* end of lemma zenon_L372_ *)
% 0.93/1.09 assert (zenon_L373_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_He2 zenon_He6 zenon_H215 zenon_H26d zenon_H26f zenon_H26e zenon_H84 zenon_H99 zenon_H177 zenon_H207 zenon_H20a zenon_H55 zenon_H56 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H4d zenon_H1e8 zenon_H5e zenon_H5f zenon_H60 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H20e.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.09 apply (zenon_L363_); trivial.
% 0.93/1.09 apply (zenon_L371_); trivial.
% 0.93/1.09 apply (zenon_L372_); trivial.
% 0.93/1.09 (* end of lemma zenon_L373_ *)
% 0.93/1.09 assert (zenon_L374_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (ndr1_0) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_He6 zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H26e zenon_H26f zenon_H26d zenon_Ha zenon_H17 zenon_H1c0.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H9e | zenon_intro zenon_H1c1 ].
% 0.93/1.09 apply (zenon_L280_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ].
% 0.93/1.09 apply (zenon_L6_); trivial.
% 0.93/1.09 exact (zenon_H17 zenon_H18).
% 0.93/1.09 apply (zenon_L113_); trivial.
% 0.93/1.09 (* end of lemma zenon_L374_ *)
% 0.93/1.09 assert (zenon_L375_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H6d zenon_H2c zenon_H1bc zenon_Hc6 zenon_H1af zenon_H1ae zenon_H1ad zenon_H1c0 zenon_H26d zenon_H26f zenon_H26e zenon_H165 zenon_He6.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.93/1.09 apply (zenon_L374_); trivial.
% 0.93/1.09 apply (zenon_L108_); trivial.
% 0.93/1.09 (* end of lemma zenon_L375_ *)
% 0.93/1.09 assert (zenon_L376_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> (~(hskp8)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H72 zenon_H2c zenon_H1bc zenon_Hc6 zenon_H1c0 zenon_H165 zenon_H6c zenon_H1a4 zenon_He5 zenon_He6 zenon_H20e zenon_H8b zenon_H177 zenon_H207 zenon_H20a zenon_H55 zenon_H56 zenon_H1e8 zenon_H75 zenon_H99 zenon_H84 zenon_H215 zenon_H9d zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_H28b zenon_H1c6 zenon_H1ad zenon_H1ae zenon_H1af zenon_Hc8 zenon_H1d2 zenon_H1d6 zenon_H4d zenon_H51 zenon_H1ba zenon_H1ea.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.09 apply (zenon_L23_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.09 apply (zenon_L122_); trivial.
% 0.93/1.09 apply (zenon_L369_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.09 apply (zenon_L23_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.09 apply (zenon_L362_); trivial.
% 0.93/1.09 apply (zenon_L373_); trivial.
% 0.93/1.09 apply (zenon_L375_); trivial.
% 0.93/1.09 (* end of lemma zenon_L376_ *)
% 0.93/1.09 assert (zenon_L377_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(c2_1 (a1430))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H234 zenon_Ha zenon_H26e zenon_H1b zenon_H26d zenon_H26f.
% 0.93/1.09 generalize (zenon_H234 (a1430)). zenon_intro zenon_H281.
% 0.93/1.09 apply (zenon_imply_s _ _ zenon_H281); [ zenon_intro zenon_H9 | zenon_intro zenon_H282 ].
% 0.93/1.09 exact (zenon_H9 zenon_Ha).
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H275 | zenon_intro zenon_H27d ].
% 0.93/1.09 exact (zenon_H26e zenon_H275).
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H27e | zenon_intro zenon_H274 ].
% 0.93/1.09 generalize (zenon_H1b (a1430)). zenon_intro zenon_H28d.
% 0.93/1.09 apply (zenon_imply_s _ _ zenon_H28d); [ zenon_intro zenon_H9 | zenon_intro zenon_H28e ].
% 0.93/1.09 exact (zenon_H9 zenon_Ha).
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28f ].
% 0.93/1.09 exact (zenon_H26d zenon_H273).
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27a | zenon_intro zenon_H275 ].
% 0.93/1.09 exact (zenon_H27e zenon_H27a).
% 0.93/1.09 exact (zenon_H26e zenon_H275).
% 0.93/1.09 exact (zenon_H274 zenon_H26f).
% 0.93/1.09 (* end of lemma zenon_L377_ *)
% 0.93/1.09 assert (zenon_L378_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> (~(c3_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c0_1 (a1447))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1430))) -> (ndr1_0) -> (~(hskp0)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H23e zenon_Heb zenon_Hea zenon_He9 zenon_H26f zenon_H26d zenon_H1b zenon_H26e zenon_Ha zenon_Hc6.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_He8 | zenon_intro zenon_H23f ].
% 0.93/1.09 apply (zenon_L57_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H234 | zenon_intro zenon_Hc7 ].
% 0.93/1.09 apply (zenon_L377_); trivial.
% 0.93/1.09 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.09 (* end of lemma zenon_L378_ *)
% 0.93/1.09 assert (zenon_L379_ : ((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(hskp0)) -> False).
% 0.93/1.09 do 0 intro. intros zenon_Hfc zenon_H1bc zenon_H26e zenon_H26d zenon_H26f zenon_H23e zenon_H1af zenon_H1ae zenon_H1ad zenon_Hc6.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b | zenon_intro zenon_H1bd ].
% 0.93/1.09 apply (zenon_L378_); trivial.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1ac | zenon_intro zenon_Hc7 ].
% 0.93/1.09 apply (zenon_L104_); trivial.
% 0.93/1.09 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.09 (* end of lemma zenon_L379_ *)
% 0.93/1.09 assert (zenon_L380_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> (~(hskp8)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H1a2 zenon_H72 zenon_H2c zenon_H1bc zenon_Hc6 zenon_H1af zenon_H1ae zenon_H1ad zenon_H1c0 zenon_H26d zenon_H26f zenon_H26e zenon_H165 zenon_He6 zenon_H51 zenon_H4d zenon_H54 zenon_H55 zenon_H56 zenon_H145 zenon_H6c.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.09 apply (zenon_L116_); trivial.
% 0.93/1.09 apply (zenon_L375_); trivial.
% 0.93/1.09 (* end of lemma zenon_L380_ *)
% 0.93/1.09 assert (zenon_L381_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> False).
% 0.93/1.09 do 0 intro. intros zenon_H1a4 zenon_He5 zenon_Hc6 zenon_He0 zenon_H185 zenon_H165 zenon_H167 zenon_H227 zenon_H228 zenon_H229 zenon_He6 zenon_Hb7 zenon_Ha9 zenon_H160 zenon_Hab zenon_H187 zenon_Hde zenon_H189 zenon_H199 zenon_H19e zenon_H1c6 zenon_H1c4 zenon_H1ad zenon_H1ae zenon_H1af zenon_Hc8 zenon_H1d2 zenon_H1d6.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.09 apply (zenon_L122_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.09 apply (zenon_L140_); trivial.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.09 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.09 apply (zenon_L250_); trivial.
% 0.93/1.09 apply (zenon_L145_); trivial.
% 0.93/1.09 (* end of lemma zenon_L381_ *)
% 0.93/1.09 assert (zenon_L382_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp23)) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c3_1 (a1449))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1ba zenon_H11c zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H121 zenon_H60 zenon_H5f zenon_H5e zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 0.93/1.10 apply (zenon_L318_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 0.93/1.10 apply (zenon_L25_); trivial.
% 0.93/1.10 apply (zenon_L104_); trivial.
% 0.93/1.10 (* end of lemma zenon_L382_ *)
% 0.93/1.10 assert (zenon_L383_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H67 zenon_H168 zenon_H167 zenon_H26d zenon_H26e zenon_H26f zenon_H160 zenon_Ha9 zenon_Hab zenon_H283 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.10 apply (zenon_L382_); trivial.
% 0.93/1.10 apply (zenon_L328_); trivial.
% 0.93/1.10 (* end of lemma zenon_L383_ *)
% 0.93/1.10 assert (zenon_L384_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(hskp0)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1ea zenon_H6c zenon_H283 zenon_H1ba zenon_H9d zenon_H99 zenon_H84 zenon_H75 zenon_H121 zenon_H8b zenon_H26e zenon_H26f zenon_H26d zenon_H168 zenon_H142 zenon_H4c zenon_H219 zenon_H215 zenon_H217 zenon_H20e zenon_H1d6 zenon_H1d2 zenon_Hc8 zenon_H1af zenon_H1ae zenon_H1ad zenon_H1c6 zenon_H19e zenon_H199 zenon_H189 zenon_Hde zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hb7 zenon_He6 zenon_H229 zenon_H228 zenon_H227 zenon_H167 zenon_H165 zenon_H185 zenon_He0 zenon_Hc6 zenon_He5 zenon_H1a4.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.93/1.10 apply (zenon_L381_); trivial.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.10 apply (zenon_L360_); trivial.
% 0.93/1.10 apply (zenon_L207_); trivial.
% 0.93/1.10 apply (zenon_L383_); trivial.
% 0.93/1.10 (* end of lemma zenon_L384_ *)
% 0.93/1.10 assert (zenon_L385_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((hskp30)\/(hskp24)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(hskp0)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1ea zenon_H6c zenon_H26d zenon_H26e zenon_H26f zenon_H283 zenon_H1ba zenon_H9d zenon_H4c zenon_H219 zenon_H20e zenon_H217 zenon_H101 zenon_H1f8 zenon_H124 zenon_H128 zenon_H129 zenon_H12a zenon_H145 zenon_H149 zenon_H75 zenon_H121 zenon_H8b zenon_H168 zenon_H142 zenon_H215 zenon_H1d6 zenon_H1d2 zenon_Hc8 zenon_H1af zenon_H1ae zenon_H1ad zenon_H1c6 zenon_H19e zenon_H199 zenon_H189 zenon_Hde zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hb7 zenon_He6 zenon_H229 zenon_H228 zenon_H227 zenon_H167 zenon_H165 zenon_H185 zenon_He0 zenon_Hc6 zenon_He5 zenon_H1a4.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.93/1.10 apply (zenon_L381_); trivial.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.10 apply (zenon_L210_); trivial.
% 0.93/1.10 apply (zenon_L383_); trivial.
% 0.93/1.10 (* end of lemma zenon_L385_ *)
% 0.93/1.10 assert (zenon_L386_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> (ndr1_0) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((hskp5)\/(hskp11))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1a3 zenon_H23e zenon_Hc6 zenon_H237 zenon_H236 zenon_H235 zenon_Ha zenon_H26d zenon_H26e zenon_H26f zenon_H15 zenon_H15e.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.93/1.10 apply (zenon_L273_); trivial.
% 0.93/1.10 apply (zenon_L216_); trivial.
% 0.93/1.10 (* end of lemma zenon_L386_ *)
% 0.93/1.10 assert (zenon_L387_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp10)) -> (~(hskp1)) -> ((hskp12)\/((hskp10)\/(hskp1))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H72 zenon_H2c zenon_H1bc zenon_Hc6 zenon_H1af zenon_H1ae zenon_H1ad zenon_H1c0 zenon_H26d zenon_H26f zenon_H26e zenon_H165 zenon_He6 zenon_H3 zenon_H5 zenon_H7.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.10 apply (zenon_L4_); trivial.
% 0.93/1.10 apply (zenon_L375_); trivial.
% 0.93/1.10 (* end of lemma zenon_L387_ *)
% 0.93/1.10 assert (zenon_L388_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_Hb5 zenon_Hb7 zenon_H185 zenon_H17e zenon_H17d zenon_H17c zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_Hc8 zenon_H1d2 zenon_H165 zenon_H167.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.10 apply (zenon_L144_); trivial.
% 0.93/1.10 apply (zenon_L96_); trivial.
% 0.93/1.10 (* end of lemma zenon_L388_ *)
% 0.93/1.10 assert (zenon_L389_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(c2_1 (a1434))) -> (c1_1 (a1434)) -> (c3_1 (a1434)) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1a4 zenon_He5 zenon_H4c zenon_H48 zenon_H3e zenon_H3d zenon_H3c zenon_H215 zenon_Hc6 zenon_H217 zenon_H20e zenon_H187 zenon_H235 zenon_H236 zenon_H237 zenon_H45 zenon_H248 zenon_H167 zenon_H165 zenon_Hab zenon_Ha9 zenon_H160 zenon_H185 zenon_Hb7 zenon_H199 zenon_He6 zenon_H19e zenon_H1c6 zenon_H1c4 zenon_H1ad zenon_H1ae zenon_H1af zenon_Hc8 zenon_H1d2 zenon_H1d6.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.10 apply (zenon_L122_); trivial.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.10 apply (zenon_L220_); trivial.
% 0.93/1.10 apply (zenon_L388_); trivial.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.10 apply (zenon_L220_); trivial.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.10 apply (zenon_L144_); trivial.
% 0.93/1.10 apply (zenon_L312_); trivial.
% 0.93/1.10 (* end of lemma zenon_L389_ *)
% 0.93/1.10 assert (zenon_L390_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444))))))) -> (~(c0_1 (a1438))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> (~(hskp8)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> (~(c2_1 (a1434))) -> (c1_1 (a1434)) -> (c3_1 (a1434)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1a8 zenon_H54 zenon_H145 zenon_H72 zenon_H2c zenon_H1bc zenon_Hc6 zenon_H1c0 zenon_H165 zenon_H6c zenon_H1a4 zenon_He5 zenon_He6 zenon_H20e zenon_H8b zenon_H177 zenon_H207 zenon_H20a zenon_H55 zenon_H56 zenon_H1e8 zenon_H75 zenon_H99 zenon_H215 zenon_H9d zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_H28b zenon_H1c6 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H1d6 zenon_H4d zenon_H51 zenon_H1ba zenon_H1ea zenon_H235 zenon_H236 zenon_H237 zenon_H23e zenon_H1a3.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.93/1.10 apply (zenon_L376_); trivial.
% 0.93/1.10 apply (zenon_L216_); trivial.
% 0.93/1.10 apply (zenon_L380_); trivial.
% 0.93/1.10 (* end of lemma zenon_L390_ *)
% 0.93/1.10 assert (zenon_L391_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H149 zenon_H276 zenon_H84 zenon_H26f zenon_H26e zenon_H26d zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.10 apply (zenon_L261_); trivial.
% 0.93/1.10 apply (zenon_L275_); trivial.
% 0.93/1.10 (* end of lemma zenon_L391_ *)
% 0.93/1.10 assert (zenon_L392_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((hskp30)\/(hskp24)) -> (~(hskp24)) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H149 zenon_H48 zenon_H45 zenon_H3e zenon_H3d zenon_H3c zenon_H1c4 zenon_H285 zenon_H75 zenon_H73 zenon_H26d zenon_H26e zenon_H26f zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H177 zenon_H142 zenon_H4f zenon_H283 zenon_H8b zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.10 apply (zenon_L261_); trivial.
% 0.93/1.10 apply (zenon_L310_); trivial.
% 0.93/1.10 (* end of lemma zenon_L392_ *)
% 0.93/1.10 assert (zenon_L393_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_Hb9 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.10 apply (zenon_L171_); trivial.
% 0.93/1.10 apply (zenon_L260_); trivial.
% 0.93/1.10 (* end of lemma zenon_L393_ *)
% 0.93/1.10 assert (zenon_L394_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((hskp30)\/(hskp24)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H9d zenon_H187 zenon_H16f zenon_H17c zenon_H17d zenon_H17e zenon_H185 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H101 zenon_Hc6 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1f8 zenon_H124 zenon_H8b zenon_H283 zenon_H4f zenon_H142 zenon_H177 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215 zenon_H26f zenon_H26e zenon_H26d zenon_H75 zenon_H285 zenon_H1c4 zenon_H3c zenon_H3d zenon_H3e zenon_H45 zenon_H48 zenon_H149.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.10 apply (zenon_L392_); trivial.
% 0.93/1.10 apply (zenon_L90_); trivial.
% 0.93/1.10 (* end of lemma zenon_L394_ *)
% 0.93/1.10 assert (zenon_L395_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1487)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H185 zenon_H8f zenon_H8e zenon_H8d zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H14a zenon_H18c zenon_H18d zenon_H194.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 0.93/1.10 apply (zenon_L37_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 0.93/1.10 apply (zenon_L87_); trivial.
% 0.93/1.10 apply (zenon_L94_); trivial.
% 0.93/1.10 (* end of lemma zenon_L395_ *)
% 0.93/1.10 assert (zenon_L396_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_He2 zenon_He6 zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H124 zenon_H287 zenon_H45 zenon_H12a zenon_H129 zenon_H128 zenon_Hc6 zenon_H101 zenon_H283 zenon_H60 zenon_H5f zenon_H5e zenon_H165 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H215 zenon_H26f zenon_H26e zenon_H26d zenon_H285 zenon_H1c4 zenon_H3c zenon_H3d zenon_H3e zenon_H48 zenon_H20e zenon_H149.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.10 apply (zenon_L339_); trivial.
% 0.93/1.10 apply (zenon_L393_); trivial.
% 0.93/1.10 (* end of lemma zenon_L396_ *)
% 0.93/1.10 assert (zenon_L397_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (c0_1 (a1441)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H185 zenon_H26e zenon_H26f zenon_H26d zenon_H9e zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_Ha9 zenon_H171 zenon_H160 zenon_Hab.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 0.93/1.10 apply (zenon_L279_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 0.93/1.10 apply (zenon_L87_); trivial.
% 0.93/1.10 apply (zenon_L88_); trivial.
% 0.93/1.10 (* end of lemma zenon_L397_ *)
% 0.93/1.10 assert (zenon_L398_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1441)) -> (ndr1_0) -> (~(hskp18)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_Hb7 zenon_H17c zenon_H17d zenon_H17e zenon_H26d zenon_H26f zenon_H26e zenon_H185 zenon_Hab zenon_H160 zenon_H171 zenon_Ha9 zenon_Ha zenon_Hb5.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.93/1.10 apply (zenon_L397_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.93/1.10 apply (zenon_L88_); trivial.
% 0.93/1.10 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.10 (* end of lemma zenon_L398_ *)
% 0.93/1.10 assert (zenon_L399_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp18)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H283 zenon_Hb5 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H26e zenon_H26f zenon_H26d zenon_H17e zenon_H17d zenon_H17c zenon_Hb7 zenon_Ha zenon_H5e zenon_H5f zenon_H60.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 0.93/1.10 apply (zenon_L272_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 0.93/1.10 apply (zenon_L398_); trivial.
% 0.93/1.10 apply (zenon_L25_); trivial.
% 0.93/1.10 (* end of lemma zenon_L399_ *)
% 0.93/1.10 assert (zenon_L400_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H19f zenon_He5 zenon_He6 zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H124 zenon_H287 zenon_H45 zenon_H12a zenon_H129 zenon_H128 zenon_Hc6 zenon_H101 zenon_H165 zenon_H215 zenon_H285 zenon_H1c4 zenon_H3c zenon_H3d zenon_H3e zenon_H48 zenon_H20e zenon_H149 zenon_H26d zenon_H26e zenon_H26f zenon_Hb7 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H5e zenon_H5f zenon_H60 zenon_H283.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.10 apply (zenon_L399_); trivial.
% 0.93/1.10 apply (zenon_L396_); trivial.
% 0.93/1.10 (* end of lemma zenon_L400_ *)
% 0.93/1.10 assert (zenon_L401_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H149 zenon_H145 zenon_H4f zenon_H142 zenon_H12a zenon_H129 zenon_H128 zenon_H56 zenon_H55 zenon_H54 zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.10 apply (zenon_L261_); trivial.
% 0.93/1.10 apply (zenon_L74_); trivial.
% 0.93/1.10 (* end of lemma zenon_L401_ *)
% 0.93/1.10 assert (zenon_L402_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1a2 zenon_H6c zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H101 zenon_Hc6 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1f8 zenon_H124 zenon_H54 zenon_H55 zenon_H56 zenon_H142 zenon_H145 zenon_H149.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.10 apply (zenon_L401_); trivial.
% 0.93/1.10 apply (zenon_L100_); trivial.
% 0.93/1.10 (* end of lemma zenon_L402_ *)
% 0.93/1.10 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1a9 zenon_H1a8 zenon_H6c zenon_H54 zenon_H55 zenon_H56 zenon_H142 zenon_H145 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H101 zenon_Hc6 zenon_H1f8 zenon_H124 zenon_H26d zenon_H26e zenon_H26f zenon_H276 zenon_H149.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 0.93/1.10 apply (zenon_L391_); trivial.
% 0.93/1.10 apply (zenon_L402_); trivial.
% 0.93/1.10 (* end of lemma zenon_L403_ *)
% 0.93/1.10 assert (zenon_L404_ : ((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1a9 zenon_H6c zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H101 zenon_Hc6 zenon_H1f8 zenon_H124 zenon_H26d zenon_H26e zenon_H26f zenon_H227 zenon_H228 zenon_H229 zenon_H142 zenon_H283 zenon_H149.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.10 apply (zenon_L261_); trivial.
% 0.93/1.10 apply (zenon_L353_); trivial.
% 0.93/1.10 apply (zenon_L352_); trivial.
% 0.93/1.10 (* end of lemma zenon_L404_ *)
% 0.93/1.10 assert (zenon_L405_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c0_1 (a1447))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp18)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H28b zenon_H1af zenon_H1ae zenon_H1ad zenon_Heb zenon_Hea zenon_He9 zenon_Ha zenon_H1b zenon_Hb5.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H1ac | zenon_intro zenon_H28c ].
% 0.93/1.10 apply (zenon_L104_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hb6 ].
% 0.93/1.10 apply (zenon_L236_); trivial.
% 0.93/1.10 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.10 (* end of lemma zenon_L405_ *)
% 0.93/1.10 assert (zenon_L406_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp18)) -> (~(c0_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (ndr1_0) -> (~(hskp0)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1bc zenon_Hb5 zenon_He9 zenon_Hea zenon_Heb zenon_H28b zenon_H1af zenon_H1ae zenon_H1ad zenon_Ha zenon_Hc6.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b | zenon_intro zenon_H1bd ].
% 0.93/1.10 apply (zenon_L405_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1ac | zenon_intro zenon_Hc7 ].
% 0.93/1.10 apply (zenon_L104_); trivial.
% 0.93/1.10 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.10 (* end of lemma zenon_L406_ *)
% 0.93/1.10 assert (zenon_L407_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> (~(hskp4)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_He2 zenon_He6 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H1be zenon_H1b6 zenon_H1af zenon_H1ae zenon_H1ad zenon_H84 zenon_H99 zenon_H9d.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.10 apply (zenon_L112_); trivial.
% 0.93/1.10 apply (zenon_L393_); trivial.
% 0.93/1.10 (* end of lemma zenon_L407_ *)
% 0.93/1.10 assert (zenon_L408_ : ((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_Hfc zenon_He5 zenon_He6 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H1be zenon_H1b6 zenon_H84 zenon_H99 zenon_H9d zenon_H28b zenon_H1af zenon_H1ae zenon_H1ad zenon_Hc6 zenon_H1bc.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.10 apply (zenon_L406_); trivial.
% 0.93/1.10 apply (zenon_L407_); trivial.
% 0.93/1.10 (* end of lemma zenon_L408_ *)
% 0.93/1.10 assert (zenon_L409_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1a3 zenon_He5 zenon_He6 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H1be zenon_H1b6 zenon_H84 zenon_H99 zenon_H9d zenon_H28b zenon_Hc6 zenon_H1bc zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H4d zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H1c6 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H1d6 zenon_H142 zenon_H1ba zenon_H6c zenon_H1ea.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.93/1.10 apply (zenon_L256_); trivial.
% 0.93/1.10 apply (zenon_L408_); trivial.
% 0.93/1.10 (* end of lemma zenon_L409_ *)
% 0.93/1.10 assert (zenon_L410_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (~(c2_1 (a1434))) -> (c1_1 (a1434)) -> (c3_1 (a1434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(hskp20)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (ndr1_0) -> (~(hskp7)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H48 zenon_H235 zenon_H236 zenon_H237 zenon_H187 zenon_H1af zenon_H1ae zenon_H1ad zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H16f zenon_H248 zenon_H3e zenon_H3d zenon_H3c zenon_Ha zenon_H45.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H31 | zenon_intro zenon_H4b ].
% 0.93/1.10 apply (zenon_L225_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H3b | zenon_intro zenon_H46 ].
% 0.93/1.10 apply (zenon_L17_); trivial.
% 0.93/1.10 exact (zenon_H45 zenon_H46).
% 0.93/1.10 (* end of lemma zenon_L410_ *)
% 0.93/1.10 assert (zenon_L411_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H19b zenon_He6 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H9d zenon_H185 zenon_H1d2 zenon_Hc8 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1af zenon_H1ae zenon_H1ad zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H165 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H167 zenon_H168.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.10 apply (zenon_L179_); trivial.
% 0.93/1.10 apply (zenon_L393_); trivial.
% 0.93/1.10 (* end of lemma zenon_L411_ *)
% 0.93/1.10 assert (zenon_L412_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_He2 zenon_H19e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H168 zenon_H167 zenon_H187 zenon_H4f zenon_H142 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H165 zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_Hc8 zenon_H1d2 zenon_H185 zenon_H9d zenon_H20e zenon_H20a zenon_H207 zenon_H215 zenon_H199 zenon_He6.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.10 apply (zenon_L178_); trivial.
% 0.93/1.10 apply (zenon_L411_); trivial.
% 0.93/1.10 (* end of lemma zenon_L412_ *)
% 0.93/1.10 assert (zenon_L413_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a1429))) -> (~(c1_1 (a1429))) -> (c3_1 (a1429)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H53 zenon_Ha zenon_H290 zenon_H291 zenon_H292.
% 0.93/1.10 generalize (zenon_H53 (a1429)). zenon_intro zenon_H293.
% 0.93/1.10 apply (zenon_imply_s _ _ zenon_H293); [ zenon_intro zenon_H9 | zenon_intro zenon_H294 ].
% 0.93/1.10 exact (zenon_H9 zenon_Ha).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H296 | zenon_intro zenon_H295 ].
% 0.93/1.10 exact (zenon_H290 zenon_H296).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H298 | zenon_intro zenon_H297 ].
% 0.93/1.10 exact (zenon_H291 zenon_H298).
% 0.93/1.10 exact (zenon_H297 zenon_H292).
% 0.93/1.10 (* end of lemma zenon_L413_ *)
% 0.93/1.10 assert (zenon_L414_ : (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c0_1 (a1429))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H31 zenon_Ha zenon_H290 zenon_H53 zenon_H292 zenon_H299.
% 0.93/1.10 generalize (zenon_H31 (a1429)). zenon_intro zenon_H29a.
% 0.93/1.10 apply (zenon_imply_s _ _ zenon_H29a); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ].
% 0.93/1.10 exact (zenon_H9 zenon_Ha).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H296 | zenon_intro zenon_H29c ].
% 0.93/1.10 exact (zenon_H290 zenon_H296).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H291 | zenon_intro zenon_H29d ].
% 0.93/1.10 apply (zenon_L413_); trivial.
% 0.93/1.10 exact (zenon_H29d zenon_H299).
% 0.93/1.10 (* end of lemma zenon_L414_ *)
% 0.93/1.10 assert (zenon_L415_ : (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46)))))) -> (ndr1_0) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H106 zenon_Ha zenon_H290 zenon_H299 zenon_H292.
% 0.93/1.10 generalize (zenon_H106 (a1429)). zenon_intro zenon_H29e.
% 0.93/1.10 apply (zenon_imply_s _ _ zenon_H29e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29f ].
% 0.93/1.10 exact (zenon_H9 zenon_Ha).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H296 | zenon_intro zenon_H2a0 ].
% 0.93/1.10 exact (zenon_H290 zenon_H296).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29d | zenon_intro zenon_H297 ].
% 0.93/1.10 exact (zenon_H29d zenon_H299).
% 0.93/1.10 exact (zenon_H297 zenon_H292).
% 0.93/1.10 (* end of lemma zenon_L415_ *)
% 0.93/1.10 assert (zenon_L416_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H120 zenon_H53 zenon_H292 zenon_H299 zenon_H290 zenon_Ha zenon_H11e.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H31 | zenon_intro zenon_H122 ].
% 0.93/1.10 apply (zenon_L414_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 0.93/1.10 apply (zenon_L415_); trivial.
% 0.93/1.10 exact (zenon_H11e zenon_H11f).
% 0.93/1.10 (* end of lemma zenon_L416_ *)
% 0.93/1.10 assert (zenon_L417_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp15)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (ndr1_0) -> (~(hskp5)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H68 zenon_H11e zenon_H290 zenon_H299 zenon_H292 zenon_H120 zenon_H60 zenon_H5f zenon_H5e zenon_Ha zenon_H15.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H53 | zenon_intro zenon_H6b ].
% 0.93/1.10 apply (zenon_L416_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5d | zenon_intro zenon_H16 ].
% 0.93/1.10 apply (zenon_L25_); trivial.
% 0.93/1.10 exact (zenon_H15 zenon_H16).
% 0.93/1.10 (* end of lemma zenon_L417_ *)
% 0.93/1.10 assert (zenon_L418_ : (forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88)))))) -> (ndr1_0) -> (~(c1_1 (a1487))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (c3_1 (a1487)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1fa zenon_Ha zenon_H8d zenon_H53 zenon_H8f.
% 0.93/1.10 generalize (zenon_H1fa (a1487)). zenon_intro zenon_H2a1.
% 0.93/1.10 apply (zenon_imply_s _ _ zenon_H2a1); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a2 ].
% 0.93/1.10 exact (zenon_H9 zenon_Ha).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H93 | zenon_intro zenon_H226 ].
% 0.93/1.10 exact (zenon_H8d zenon_H93).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21f | zenon_intro zenon_H94 ].
% 0.93/1.10 apply (zenon_L193_); trivial.
% 0.93/1.10 exact (zenon_H94 zenon_H8f).
% 0.93/1.10 (* end of lemma zenon_L418_ *)
% 0.93/1.10 assert (zenon_L419_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H154 zenon_Ha zenon_H1f2 zenon_H299 zenon_H292.
% 0.93/1.10 generalize (zenon_H154 (a1429)). zenon_intro zenon_H2a3.
% 0.93/1.10 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a4 ].
% 0.93/1.10 exact (zenon_H9 zenon_Ha).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H298 | zenon_intro zenon_H2a0 ].
% 0.93/1.10 generalize (zenon_H1f2 (a1429)). zenon_intro zenon_H2a5.
% 0.93/1.10 apply (zenon_imply_s _ _ zenon_H2a5); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a6 ].
% 0.93/1.10 exact (zenon_H9 zenon_Ha).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H291 | zenon_intro zenon_H2a0 ].
% 0.93/1.10 exact (zenon_H291 zenon_H298).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29d | zenon_intro zenon_H297 ].
% 0.93/1.10 exact (zenon_H29d zenon_H299).
% 0.93/1.10 exact (zenon_H297 zenon_H292).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29d | zenon_intro zenon_H297 ].
% 0.93/1.10 exact (zenon_H29d zenon_H299).
% 0.93/1.10 exact (zenon_H297 zenon_H292).
% 0.93/1.10 (* end of lemma zenon_L419_ *)
% 0.93/1.10 assert (zenon_L420_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1e8 zenon_H292 zenon_H299 zenon_H1f2 zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H4d.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H154 | zenon_intro zenon_H1e9 ].
% 0.93/1.10 apply (zenon_L419_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17b | zenon_intro zenon_H4e ].
% 0.93/1.10 apply (zenon_L87_); trivial.
% 0.93/1.10 exact (zenon_H4d zenon_H4e).
% 0.93/1.10 (* end of lemma zenon_L420_ *)
% 0.93/1.10 assert (zenon_L421_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1487)) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (~(c1_1 (a1487))) -> (~(hskp8)) -> (ndr1_0) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp28)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1f8 zenon_H8f zenon_H53 zenon_H8d zenon_H4d zenon_Ha zenon_H17c zenon_H17d zenon_H17e zenon_H299 zenon_H292 zenon_H1e8 zenon_H1f6.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ].
% 0.93/1.10 apply (zenon_L418_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f7 ].
% 0.93/1.10 apply (zenon_L420_); trivial.
% 0.93/1.10 exact (zenon_H1f6 zenon_H1f7).
% 0.93/1.10 (* end of lemma zenon_L421_ *)
% 0.93/1.10 assert (zenon_L422_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H98 zenon_H20e zenon_H20a zenon_H207 zenon_H1f8 zenon_H299 zenon_H292 zenon_H17c zenon_H17d zenon_H17e zenon_H4d zenon_H1e8 zenon_H5e zenon_H5f zenon_H60 zenon_H15 zenon_H68.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H53 | zenon_intro zenon_H6b ].
% 0.93/1.10 apply (zenon_L421_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5d | zenon_intro zenon_H16 ].
% 0.93/1.10 apply (zenon_L25_); trivial.
% 0.93/1.10 exact (zenon_H15 zenon_H16).
% 0.93/1.10 apply (zenon_L161_); trivial.
% 0.93/1.10 (* end of lemma zenon_L422_ *)
% 0.93/1.10 assert (zenon_L423_ : ((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp25)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp15)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H125 zenon_H120 zenon_H2d zenon_Hc6 zenon_H217 zenon_H292 zenon_H299 zenon_H290 zenon_H11e.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10e. zenon_intro zenon_H127.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H110. zenon_intro zenon_H10f.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H31 | zenon_intro zenon_H122 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fd | zenon_intro zenon_H218 ].
% 0.93/1.10 apply (zenon_L267_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H2e ].
% 0.93/1.10 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.10 exact (zenon_H2d zenon_H2e).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 0.93/1.10 apply (zenon_L415_); trivial.
% 0.93/1.10 exact (zenon_H11e zenon_H11f).
% 0.93/1.10 (* end of lemma zenon_L423_ *)
% 0.93/1.10 assert (zenon_L424_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp25)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> (~(hskp26)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H124 zenon_H120 zenon_H11e zenon_H292 zenon_H299 zenon_H290 zenon_H2d zenon_H217 zenon_Hc6 zenon_Hff zenon_H101.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H102 | zenon_intro zenon_H125 ].
% 0.93/1.10 apply (zenon_L63_); trivial.
% 0.93/1.10 apply (zenon_L423_); trivial.
% 0.93/1.10 (* end of lemma zenon_L424_ *)
% 0.93/1.10 assert (zenon_L425_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c2_1 (a1517)) -> (~(c3_1 (a1517))) -> (~(c0_1 (a1517))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(hskp14)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H142 zenon_H134 zenon_H133 zenon_H132 zenon_H299 zenon_H292 zenon_H53 zenon_H290 zenon_Ha zenon_H4f.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 0.93/1.10 apply (zenon_L71_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 0.93/1.10 apply (zenon_L414_); trivial.
% 0.93/1.10 exact (zenon_H4f zenon_H50).
% 0.93/1.10 (* end of lemma zenon_L425_ *)
% 0.93/1.10 assert (zenon_L426_ : ((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp5)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H144 zenon_H68 zenon_H290 zenon_H292 zenon_H299 zenon_H4f zenon_H142 zenon_H15.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H134. zenon_intro zenon_H147.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H132. zenon_intro zenon_H133.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H53 | zenon_intro zenon_H6b ].
% 0.93/1.10 apply (zenon_L425_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5d | zenon_intro zenon_H16 ].
% 0.93/1.10 apply (zenon_L73_); trivial.
% 0.93/1.10 exact (zenon_H15 zenon_H16).
% 0.93/1.10 (* end of lemma zenon_L426_ *)
% 0.93/1.10 assert (zenon_L427_ : ((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp15)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H47 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H11e.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_Ha. zenon_intro zenon_H49.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H33. zenon_intro zenon_H4a.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H34. zenon_intro zenon_H32.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H31 | zenon_intro zenon_H122 ].
% 0.93/1.10 apply (zenon_L16_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 0.93/1.10 apply (zenon_L415_); trivial.
% 0.93/1.10 exact (zenon_H11e zenon_H11f).
% 0.93/1.10 (* end of lemma zenon_L427_ *)
% 0.93/1.10 assert (zenon_L428_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H4c zenon_H124 zenon_H120 zenon_H11e zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H142 zenon_H4f zenon_H15 zenon_H68 zenon_H149.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.10 apply (zenon_L424_); trivial.
% 0.93/1.10 apply (zenon_L426_); trivial.
% 0.93/1.10 apply (zenon_L427_); trivial.
% 0.93/1.10 (* end of lemma zenon_L428_ *)
% 0.93/1.10 assert (zenon_L429_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp6)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(hskp20)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H98 zenon_H187 zenon_H207 zenon_Hd zenon_Hc zenon_He zenon_H20a zenon_H17e zenon_H17d zenon_H17c zenon_H16f.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.93/1.10 apply (zenon_L301_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.93/1.10 apply (zenon_L87_); trivial.
% 0.93/1.10 exact (zenon_H16f zenon_H170).
% 0.93/1.10 (* end of lemma zenon_L429_ *)
% 0.93/1.10 assert (zenon_L430_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((hskp30)\/(hskp24)) -> (~(hskp21)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H9d zenon_H187 zenon_H16f zenon_H17e zenon_H17d zenon_H17c zenon_Hd zenon_Hc zenon_He zenon_H207 zenon_H20a zenon_H75 zenon_H82 zenon_H84 zenon_H87 zenon_H8b.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.10 apply (zenon_L36_); trivial.
% 0.93/1.10 apply (zenon_L429_); trivial.
% 0.93/1.10 (* end of lemma zenon_L430_ *)
% 0.93/1.10 assert (zenon_L431_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> (~(hskp11)) -> (~(hskp0)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1448)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_He7 zenon_Hcb zenon_Hc8 zenon_Hc6 zenon_H8b zenon_H87 zenon_H84 zenon_H75 zenon_H20a zenon_H207 zenon_He zenon_Hc zenon_Hd zenon_H17c zenon_H17d zenon_H17e zenon_H16f zenon_H187 zenon_H9d.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 0.93/1.10 apply (zenon_L430_); trivial.
% 0.93/1.10 apply (zenon_L50_); trivial.
% 0.93/1.10 (* end of lemma zenon_L431_ *)
% 0.93/1.10 assert (zenon_L432_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((hskp30)\/(hskp24)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (~(hskp0)) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H19f zenon_H19e zenon_H1e8 zenon_H4d zenon_H9d zenon_H187 zenon_Hd zenon_Hc zenon_He zenon_H207 zenon_H20a zenon_H75 zenon_H84 zenon_H87 zenon_H8b zenon_Hc6 zenon_Hc8 zenon_Hcb zenon_He7.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.10 apply (zenon_L431_); trivial.
% 0.93/1.10 apply (zenon_L221_); trivial.
% 0.93/1.10 (* end of lemma zenon_L432_ *)
% 0.93/1.10 assert (zenon_L433_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((hskp30)\/(hskp24)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (~(hskp0)) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H67 zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H4d zenon_H9d zenon_H187 zenon_Hd zenon_Hc zenon_He zenon_H207 zenon_H20a zenon_H75 zenon_H84 zenon_H87 zenon_H8b zenon_Hc6 zenon_Hc8 zenon_Hcb zenon_He7 zenon_H120 zenon_H299 zenon_H292 zenon_H290 zenon_H15 zenon_H68.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.10 apply (zenon_L417_); trivial.
% 0.93/1.10 apply (zenon_L432_); trivial.
% 0.93/1.10 (* end of lemma zenon_L433_ *)
% 0.93/1.10 assert (zenon_L434_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H6d zenon_H6c zenon_H4c zenon_H124 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H142 zenon_H15 zenon_H68 zenon_H149 zenon_He7 zenon_Hcb zenon_Hc8 zenon_H8b zenon_H87 zenon_H84 zenon_H75 zenon_H20a zenon_H207 zenon_H187 zenon_H9d zenon_H4d zenon_H1e8 zenon_H19e zenon_H1a4.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.10 apply (zenon_L428_); trivial.
% 0.93/1.10 apply (zenon_L432_); trivial.
% 0.93/1.10 apply (zenon_L433_); trivial.
% 0.93/1.10 (* end of lemma zenon_L434_ *)
% 0.93/1.10 assert (zenon_L435_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(hskp8)) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp7)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H19f zenon_H287 zenon_H12a zenon_H129 zenon_H128 zenon_H4d zenon_H299 zenon_H292 zenon_H1e8 zenon_H45.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H288 ].
% 0.93/1.10 apply (zenon_L70_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H46 ].
% 0.93/1.10 apply (zenon_L420_); trivial.
% 0.93/1.10 exact (zenon_H45 zenon_H46).
% 0.93/1.10 (* end of lemma zenon_L435_ *)
% 0.93/1.10 assert (zenon_L436_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H67 zenon_H1a4 zenon_H287 zenon_H45 zenon_H4d zenon_H1e8 zenon_H12a zenon_H129 zenon_H128 zenon_H120 zenon_H299 zenon_H292 zenon_H290 zenon_H15 zenon_H68.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.10 apply (zenon_L417_); trivial.
% 0.93/1.10 apply (zenon_L435_); trivial.
% 0.93/1.10 (* end of lemma zenon_L436_ *)
% 0.93/1.10 assert (zenon_L437_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1a2 zenon_H6c zenon_H4c zenon_H124 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H142 zenon_H15 zenon_H68 zenon_H149 zenon_H1e8 zenon_H4d zenon_H45 zenon_H287 zenon_H1a4.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.10 apply (zenon_L428_); trivial.
% 0.93/1.10 apply (zenon_L435_); trivial.
% 0.93/1.10 apply (zenon_L436_); trivial.
% 0.93/1.10 (* end of lemma zenon_L437_ *)
% 0.93/1.10 assert (zenon_L438_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((hskp30)\/(hskp24)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> (~(hskp7)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((hskp8)\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H1a8 zenon_H287 zenon_H72 zenon_H4c zenon_H124 zenon_H217 zenon_H101 zenon_H142 zenon_H149 zenon_H187 zenon_H19e zenon_H51 zenon_H4d zenon_H68 zenon_H15 zenon_H290 zenon_H292 zenon_H299 zenon_H120 zenon_H9d zenon_H20e zenon_H20a zenon_H207 zenon_H1f8 zenon_H1e8 zenon_H75 zenon_H87 zenon_H8b zenon_Hc6 zenon_Hcb zenon_He7 zenon_H1a4 zenon_H6c zenon_H45 zenon_H24a zenon_H1a3.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.10 apply (zenon_L23_); trivial.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.10 apply (zenon_L417_); trivial.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.10 apply (zenon_L36_); trivial.
% 0.93/1.10 apply (zenon_L422_); trivial.
% 0.93/1.10 apply (zenon_L50_); trivial.
% 0.93/1.10 apply (zenon_L434_); trivial.
% 0.93/1.10 apply (zenon_L230_); trivial.
% 0.93/1.10 apply (zenon_L437_); trivial.
% 0.93/1.10 (* end of lemma zenon_L438_ *)
% 0.93/1.10 assert (zenon_L439_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((hskp30)\/(hskp24)) -> (~(hskp21)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_Hb9 zenon_H9d zenon_H20e zenon_H20a zenon_H207 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215 zenon_H75 zenon_H82 zenon_H84 zenon_H87 zenon_H8b.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.10 apply (zenon_L36_); trivial.
% 0.93/1.10 apply (zenon_L172_); trivial.
% 0.93/1.10 (* end of lemma zenon_L439_ *)
% 0.93/1.10 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> (~(hskp11)) -> (~(hskp0)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H19f zenon_He5 zenon_He7 zenon_Hcb zenon_Hc8 zenon_Hc6 zenon_H8b zenon_H87 zenon_H84 zenon_H75 zenon_H215 zenon_H207 zenon_H20a zenon_H20e zenon_H9d zenon_He6 zenon_Hb7 zenon_Ha9 zenon_H160 zenon_Hab zenon_H187 zenon_Hde zenon_H189 zenon_H199 zenon_H19e.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.10 apply (zenon_L140_); trivial.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.10 apply (zenon_L92_); trivial.
% 0.93/1.10 apply (zenon_L439_); trivial.
% 0.93/1.10 apply (zenon_L50_); trivial.
% 0.93/1.10 (* end of lemma zenon_L440_ *)
% 0.93/1.10 assert (zenon_L441_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a1429))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (c3_1 (a1429)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H9e zenon_Ha zenon_H290 zenon_H53 zenon_H292.
% 0.93/1.10 generalize (zenon_H9e (a1429)). zenon_intro zenon_H2a7.
% 0.93/1.10 apply (zenon_imply_s _ _ zenon_H2a7); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a8 ].
% 0.93/1.10 exact (zenon_H9 zenon_Ha).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H296 | zenon_intro zenon_H2a9 ].
% 0.93/1.10 exact (zenon_H290 zenon_H296).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H291 | zenon_intro zenon_H297 ].
% 0.93/1.10 apply (zenon_L413_); trivial.
% 0.93/1.10 exact (zenon_H297 zenon_H292).
% 0.93/1.10 (* end of lemma zenon_L441_ *)
% 0.93/1.10 assert (zenon_L442_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1429)) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (~(c0_1 (a1429))) -> (~(hskp20)) -> (ndr1_0) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp18)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_Hb7 zenon_H292 zenon_H53 zenon_H290 zenon_H16f zenon_Ha zenon_H17c zenon_H17d zenon_H17e zenon_Ha9 zenon_H160 zenon_Hab zenon_H187 zenon_Hb5.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.93/1.10 apply (zenon_L441_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.93/1.10 apply (zenon_L138_); trivial.
% 0.93/1.10 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.10 (* end of lemma zenon_L442_ *)
% 0.93/1.10 assert (zenon_L443_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1429)) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(hskp18)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_Hb7 zenon_H292 zenon_H53 zenon_H290 zenon_H194 zenon_H18d zenon_H18c zenon_H14a zenon_Ha zenon_Hb5.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.93/1.10 apply (zenon_L441_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.93/1.10 apply (zenon_L94_); trivial.
% 0.93/1.10 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.10 (* end of lemma zenon_L443_ *)
% 0.93/1.10 assert (zenon_L444_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp18)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (ndr1_0) -> (~(hskp5)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H68 zenon_Hb5 zenon_H14a zenon_H18c zenon_H18d zenon_H194 zenon_H290 zenon_H292 zenon_Hb7 zenon_H60 zenon_H5f zenon_H5e zenon_Ha zenon_H15.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H53 | zenon_intro zenon_H6b ].
% 0.93/1.10 apply (zenon_L443_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5d | zenon_intro zenon_H16 ].
% 0.93/1.10 apply (zenon_L25_); trivial.
% 0.93/1.10 exact (zenon_H15 zenon_H16).
% 0.93/1.10 (* end of lemma zenon_L444_ *)
% 0.93/1.10 assert (zenon_L445_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H154 zenon_Ha zenon_H9e zenon_H290 zenon_H292 zenon_H299.
% 0.93/1.10 generalize (zenon_H154 (a1429)). zenon_intro zenon_H2a3.
% 0.93/1.10 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a4 ].
% 0.93/1.10 exact (zenon_H9 zenon_Ha).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H298 | zenon_intro zenon_H2a0 ].
% 0.93/1.10 generalize (zenon_H9e (a1429)). zenon_intro zenon_H2a7.
% 0.93/1.10 apply (zenon_imply_s _ _ zenon_H2a7); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a8 ].
% 0.93/1.10 exact (zenon_H9 zenon_Ha).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H296 | zenon_intro zenon_H2a9 ].
% 0.93/1.10 exact (zenon_H290 zenon_H296).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H291 | zenon_intro zenon_H297 ].
% 0.93/1.10 exact (zenon_H291 zenon_H298).
% 0.93/1.10 exact (zenon_H297 zenon_H292).
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29d | zenon_intro zenon_H297 ].
% 0.93/1.10 exact (zenon_H29d zenon_H299).
% 0.93/1.10 exact (zenon_H297 zenon_H292).
% 0.93/1.10 (* end of lemma zenon_L445_ *)
% 0.93/1.10 assert (zenon_L446_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (~(c1_1 (a1441))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (ndr1_0) -> (c0_1 (a1507)) -> (c1_1 (a1507)) -> (c2_1 (a1507)) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H177 zenon_Hab zenon_Ha9 zenon_Ha8 zenon_H160 zenon_H194 zenon_H18d zenon_H18c zenon_Ha zenon_H79 zenon_H7a zenon_H7b.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 0.93/1.10 apply (zenon_L79_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 0.93/1.10 apply (zenon_L143_); trivial.
% 0.93/1.10 apply (zenon_L32_); trivial.
% 0.93/1.10 (* end of lemma zenon_L446_ *)
% 0.93/1.10 assert (zenon_L447_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((hskp30)\/(hskp24)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_H8b zenon_H2aa zenon_Hc6 zenon_H299 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_Hb7 zenon_Hb5 zenon_H292 zenon_H290 zenon_H5e zenon_H5f zenon_H60 zenon_H15 zenon_H68 zenon_H75 zenon_H84 zenon_H99 zenon_H9d.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 0.93/1.10 apply (zenon_L31_); trivial.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 0.93/1.10 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H14a | zenon_intro zenon_H2ab ].
% 0.93/1.10 apply (zenon_L444_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H9e | zenon_intro zenon_Hc7 ].
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.10 apply (zenon_L444_); trivial.
% 0.93/1.10 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.10 apply (zenon_L445_); trivial.
% 0.93/1.10 apply (zenon_L446_); trivial.
% 0.93/1.10 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.10 apply (zenon_L39_); trivial.
% 0.93/1.10 apply (zenon_L96_); trivial.
% 0.93/1.10 (* end of lemma zenon_L447_ *)
% 0.93/1.10 assert (zenon_L448_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.10 do 0 intro. intros zenon_H19e zenon_He6 zenon_H199 zenon_H8b zenon_H2aa zenon_Hc6 zenon_H299 zenon_H177 zenon_H167 zenon_H75 zenon_H84 zenon_H99 zenon_H9d zenon_Hb7 zenon_Hb5 zenon_Ha9 zenon_H160 zenon_Hab zenon_H17c zenon_H17d zenon_H17e zenon_H187 zenon_H292 zenon_H290 zenon_Ha zenon_H5e zenon_H5f zenon_H60 zenon_H15 zenon_H68.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H53 | zenon_intro zenon_H6b ].
% 0.93/1.11 apply (zenon_L442_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5d | zenon_intro zenon_H16 ].
% 0.93/1.11 apply (zenon_L25_); trivial.
% 0.93/1.11 exact (zenon_H15 zenon_H16).
% 0.93/1.11 apply (zenon_L447_); trivial.
% 0.93/1.11 (* end of lemma zenon_L448_ *)
% 0.93/1.11 assert (zenon_L449_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1429)) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (~(c0_1 (a1429))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (ndr1_0) -> (~(hskp28)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H215 zenon_H292 zenon_H53 zenon_H290 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Ha zenon_H1f6.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H9e | zenon_intro zenon_H216 ].
% 0.93/1.11 apply (zenon_L441_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H212 | zenon_intro zenon_H1f7 ].
% 0.93/1.11 apply (zenon_L170_); trivial.
% 0.93/1.11 exact (zenon_H1f6 zenon_H1f7).
% 0.93/1.11 (* end of lemma zenon_L449_ *)
% 0.93/1.11 assert (zenon_L450_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp28)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (ndr1_0) -> (~(hskp5)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H68 zenon_H1f6 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H290 zenon_H292 zenon_H215 zenon_H60 zenon_H5f zenon_H5e zenon_Ha zenon_H15.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H53 | zenon_intro zenon_H6b ].
% 0.93/1.11 apply (zenon_L449_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5d | zenon_intro zenon_H16 ].
% 0.93/1.11 apply (zenon_L25_); trivial.
% 0.93/1.11 exact (zenon_H15 zenon_H16).
% 0.93/1.11 (* end of lemma zenon_L450_ *)
% 0.93/1.11 assert (zenon_L451_ : ((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (~(hskp13)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H209 zenon_H285 zenon_H60 zenon_H5f zenon_H5e zenon_H1c4.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H5d | zenon_intro zenon_H286 ].
% 0.93/1.11 apply (zenon_L25_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1c5 ].
% 0.93/1.11 apply (zenon_L159_); trivial.
% 0.93/1.11 exact (zenon_H1c4 zenon_H1c5).
% 0.93/1.11 (* end of lemma zenon_L451_ *)
% 0.93/1.11 assert (zenon_L452_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_He2 zenon_H20e zenon_H285 zenon_H1c4 zenon_H215 zenon_H292 zenon_H290 zenon_H5e zenon_H5f zenon_H60 zenon_H15 zenon_H68.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.11 apply (zenon_L450_); trivial.
% 0.93/1.11 apply (zenon_L451_); trivial.
% 0.93/1.11 (* end of lemma zenon_L452_ *)
% 0.93/1.11 assert (zenon_L453_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(hskp23)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H9d zenon_H187 zenon_H16f zenon_H17c zenon_H17d zenon_H17e zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H11c zenon_H121 zenon_H8b.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.11 apply (zenon_L126_); trivial.
% 0.93/1.11 apply (zenon_L90_); trivial.
% 0.93/1.11 (* end of lemma zenon_L453_ *)
% 0.93/1.11 assert (zenon_L454_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H299 zenon_H292 zenon_H290 zenon_H9e zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H16f.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.11 apply (zenon_L76_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.11 apply (zenon_L445_); trivial.
% 0.93/1.11 apply (zenon_L138_); trivial.
% 0.93/1.11 (* end of lemma zenon_L454_ *)
% 0.93/1.11 assert (zenon_L455_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H154 zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H16f.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.93/1.11 apply (zenon_L85_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.93/1.11 apply (zenon_L87_); trivial.
% 0.93/1.11 exact (zenon_H16f zenon_H170).
% 0.93/1.11 (* end of lemma zenon_L455_ *)
% 0.93/1.11 assert (zenon_L456_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(hskp20)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(c1_1 (a1441))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H16f zenon_H17c zenon_H17d zenon_H17e zenon_H160 zenon_H187 zenon_Hb zenon_Ha zenon_Ha9 zenon_Hab.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.11 apply (zenon_L76_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.11 apply (zenon_L455_); trivial.
% 0.93/1.11 apply (zenon_L43_); trivial.
% 0.93/1.11 (* end of lemma zenon_L456_ *)
% 0.93/1.11 assert (zenon_L457_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp20)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(c1_1 (a1441))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H169 zenon_H199 zenon_H290 zenon_H292 zenon_H299 zenon_H167 zenon_H16f zenon_H17c zenon_H17d zenon_H17e zenon_H160 zenon_H187 zenon_Ha9 zenon_Hab.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.11 apply (zenon_L76_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.11 apply (zenon_L454_); trivial.
% 0.93/1.11 apply (zenon_L456_); trivial.
% 0.93/1.11 (* end of lemma zenon_L457_ *)
% 0.93/1.11 assert (zenon_L458_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H168 zenon_H199 zenon_H290 zenon_H292 zenon_H299 zenon_H167 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H185 zenon_Hab zenon_H160 zenon_Ha9 zenon_H17e zenon_H17d zenon_H17c zenon_H16f zenon_H187 zenon_H9d.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.11 apply (zenon_L453_); trivial.
% 0.93/1.11 apply (zenon_L457_); trivial.
% 0.93/1.11 (* end of lemma zenon_L458_ *)
% 0.93/1.11 assert (zenon_L459_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> (~(hskp0)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H98 zenon_H2aa zenon_H194 zenon_H18d zenon_H18c zenon_H17c zenon_H17d zenon_H17e zenon_H185 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_Hc6.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H14a | zenon_intro zenon_H2ab ].
% 0.93/1.11 apply (zenon_L395_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H9e | zenon_intro zenon_Hc7 ].
% 0.93/1.11 apply (zenon_L41_); trivial.
% 0.93/1.11 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.11 (* end of lemma zenon_L459_ *)
% 0.93/1.11 assert (zenon_L460_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_Ha9 zenon_Hab zenon_H167 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H185 zenon_H194 zenon_H18d zenon_H18c zenon_H17e zenon_H17d zenon_H17c zenon_Hc6 zenon_H2aa zenon_H9d.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.11 apply (zenon_L126_); trivial.
% 0.93/1.11 apply (zenon_L459_); trivial.
% 0.93/1.11 apply (zenon_L185_); trivial.
% 0.93/1.11 (* end of lemma zenon_L460_ *)
% 0.93/1.11 assert (zenon_L461_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H19b zenon_He6 zenon_H168 zenon_H199 zenon_Ha9 zenon_Hab zenon_H167 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H185 zenon_Hc6 zenon_H2aa zenon_H9d zenon_H17c zenon_H17d zenon_H17e zenon_Hde zenon_H189.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.11 apply (zenon_L92_); trivial.
% 0.93/1.11 apply (zenon_L460_); trivial.
% 0.93/1.11 (* end of lemma zenon_L461_ *)
% 0.93/1.11 assert (zenon_L462_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H19f zenon_H19e zenon_He6 zenon_Hc6 zenon_H2aa zenon_Hde zenon_H189 zenon_H9d zenon_H187 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H167 zenon_H299 zenon_H292 zenon_H290 zenon_H199 zenon_H168.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.11 apply (zenon_L458_); trivial.
% 0.93/1.11 apply (zenon_L461_); trivial.
% 0.93/1.11 (* end of lemma zenon_L462_ *)
% 0.93/1.11 assert (zenon_L463_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H67 zenon_H1a4 zenon_H19e zenon_He6 zenon_Hc6 zenon_H2aa zenon_Hde zenon_H189 zenon_H9d zenon_H187 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H167 zenon_H199 zenon_H168 zenon_H120 zenon_H299 zenon_H292 zenon_H290 zenon_H15 zenon_H68.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.11 apply (zenon_L417_); trivial.
% 0.93/1.11 apply (zenon_L462_); trivial.
% 0.93/1.11 (* end of lemma zenon_L463_ *)
% 0.93/1.11 assert (zenon_L464_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H1eb zenon_H6c zenon_H4c zenon_H124 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H142 zenon_H15 zenon_H68 zenon_H149 zenon_H168 zenon_H199 zenon_H167 zenon_H8b zenon_H121 zenon_H75 zenon_H185 zenon_Hab zenon_H160 zenon_Ha9 zenon_H187 zenon_H9d zenon_H189 zenon_Hde zenon_H2aa zenon_He6 zenon_H19e zenon_H1a4.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.11 apply (zenon_L428_); trivial.
% 0.93/1.11 apply (zenon_L462_); trivial.
% 0.93/1.11 apply (zenon_L463_); trivial.
% 0.93/1.11 (* end of lemma zenon_L464_ *)
% 0.93/1.11 assert (zenon_L465_ : ((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H144 zenon_H145 zenon_H290 zenon_H292 zenon_H299 zenon_H12a zenon_H129 zenon_H128 zenon_H142 zenon_H4f.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H134. zenon_intro zenon_H147.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H132. zenon_intro zenon_H133.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 0.93/1.11 apply (zenon_L425_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 0.93/1.11 apply (zenon_L70_); trivial.
% 0.93/1.11 apply (zenon_L73_); trivial.
% 0.93/1.11 (* end of lemma zenon_L465_ *)
% 0.93/1.11 assert (zenon_L466_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H149 zenon_H145 zenon_H290 zenon_H292 zenon_H299 zenon_H4f zenon_H142 zenon_H101 zenon_Hc6 zenon_H128 zenon_H129 zenon_H12a zenon_H45 zenon_H287 zenon_H124.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.11 apply (zenon_L333_); trivial.
% 0.93/1.11 apply (zenon_L465_); trivial.
% 0.93/1.11 (* end of lemma zenon_L466_ *)
% 0.93/1.11 assert (zenon_L467_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp18)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H145 zenon_Hb5 zenon_H14a zenon_H18c zenon_H18d zenon_H194 zenon_H290 zenon_H292 zenon_Hb7 zenon_H12a zenon_H129 zenon_H128 zenon_Ha zenon_H5e zenon_H5f zenon_H60.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 0.93/1.11 apply (zenon_L443_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 0.93/1.11 apply (zenon_L70_); trivial.
% 0.93/1.11 apply (zenon_L25_); trivial.
% 0.93/1.11 (* end of lemma zenon_L467_ *)
% 0.93/1.11 assert (zenon_L468_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (~(hskp18)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (ndr1_0) -> (~(hskp22)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H167 zenon_H60 zenon_H5f zenon_H5e zenon_H128 zenon_H129 zenon_H12a zenon_Hb7 zenon_H194 zenon_H18d zenon_H18c zenon_Hb5 zenon_H145 zenon_H299 zenon_H292 zenon_H290 zenon_H9e zenon_H165 zenon_H160 zenon_Hab zenon_Ha9 zenon_Ha zenon_H96.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.11 apply (zenon_L467_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.11 apply (zenon_L445_); trivial.
% 0.93/1.11 apply (zenon_L80_); trivial.
% 0.93/1.11 (* end of lemma zenon_L468_ *)
% 0.93/1.11 assert (zenon_L469_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c2_1 (a1429)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_H145 zenon_H60 zenon_H5f zenon_H5e zenon_H12a zenon_H129 zenon_H128 zenon_H290 zenon_H292 zenon_Hb5 zenon_Hb7 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H299 zenon_Hc6 zenon_H2aa.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H14a | zenon_intro zenon_H2ab ].
% 0.93/1.11 apply (zenon_L467_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H9e | zenon_intro zenon_Hc7 ].
% 0.93/1.11 apply (zenon_L468_); trivial.
% 0.93/1.11 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.11 apply (zenon_L96_); trivial.
% 0.93/1.11 (* end of lemma zenon_L469_ *)
% 0.93/1.11 assert (zenon_L470_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c2_1 (a1429)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H19e zenon_He6 zenon_H199 zenon_H167 zenon_H165 zenon_H299 zenon_Hc6 zenon_H2aa zenon_Hb7 zenon_Hb5 zenon_Ha9 zenon_H160 zenon_Hab zenon_H17c zenon_H17d zenon_H17e zenon_H187 zenon_H292 zenon_H290 zenon_Ha zenon_H128 zenon_H129 zenon_H12a zenon_H5e zenon_H5f zenon_H60 zenon_H145.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 0.93/1.11 apply (zenon_L442_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 0.93/1.11 apply (zenon_L70_); trivial.
% 0.93/1.11 apply (zenon_L25_); trivial.
% 0.93/1.11 apply (zenon_L469_); trivial.
% 0.93/1.11 (* end of lemma zenon_L470_ *)
% 0.93/1.11 assert (zenon_L471_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H1eb zenon_H6c zenon_H1a4 zenon_H19e zenon_He6 zenon_H2aa zenon_Hde zenon_H189 zenon_H9d zenon_H187 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H75 zenon_H121 zenon_H8b zenon_H167 zenon_H199 zenon_H168 zenon_H120 zenon_H15 zenon_H68 zenon_H124 zenon_H287 zenon_H45 zenon_H12a zenon_H129 zenon_H128 zenon_Hc6 zenon_H101 zenon_H142 zenon_H299 zenon_H292 zenon_H290 zenon_H145 zenon_H149.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.11 apply (zenon_L466_); trivial.
% 0.93/1.11 apply (zenon_L463_); trivial.
% 0.93/1.11 (* end of lemma zenon_L471_ *)
% 0.93/1.11 assert (zenon_L472_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp0)\/(hskp3))) -> (~(c0_1 (a1438))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H1a4 zenon_He5 zenon_H6e zenon_He0 zenon_H54 zenon_H9d zenon_H185 zenon_H75 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H55 zenon_H56 zenon_Hc8 zenon_H178 zenon_H187 zenon_H8b zenon_H189 zenon_Hde zenon_Hb7 zenon_H199 zenon_He6 zenon_H19e zenon_H149 zenon_H68 zenon_H15 zenon_H4f zenon_H142 zenon_H101 zenon_Hc6 zenon_H217 zenon_H290 zenon_H299 zenon_H292 zenon_H120 zenon_H124 zenon_H4c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.11 apply (zenon_L428_); trivial.
% 0.93/1.11 apply (zenon_L99_); trivial.
% 0.93/1.11 (* end of lemma zenon_L472_ *)
% 0.93/1.11 assert (zenon_L473_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H67 zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H4d zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H120 zenon_H299 zenon_H292 zenon_H290 zenon_H15 zenon_H68.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.11 apply (zenon_L417_); trivial.
% 0.93/1.11 apply (zenon_L251_); trivial.
% 0.93/1.11 (* end of lemma zenon_L473_ *)
% 0.93/1.11 assert (zenon_L474_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp12)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H6c zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H120 zenon_H299 zenon_H292 zenon_H290 zenon_H15 zenon_H68 zenon_H4d zenon_H1 zenon_H51.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.11 apply (zenon_L23_); trivial.
% 0.93/1.11 apply (zenon_L473_); trivial.
% 0.93/1.11 (* end of lemma zenon_L474_ *)
% 0.93/1.11 assert (zenon_L475_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> (~(hskp21)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H9d zenon_H165 zenon_H96 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H82 zenon_H84 zenon_H87 zenon_H8b.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.11 apply (zenon_L36_); trivial.
% 0.93/1.11 apply (zenon_L127_); trivial.
% 0.93/1.11 (* end of lemma zenon_L475_ *)
% 0.93/1.11 assert (zenon_L476_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H98 zenon_H199 zenon_H194 zenon_H18d zenon_H18c zenon_H17c zenon_H17d zenon_H17e zenon_H185 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_Hc zenon_Hd zenon_He.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.11 apply (zenon_L395_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.11 apply (zenon_L41_); trivial.
% 0.93/1.11 apply (zenon_L6_); trivial.
% 0.93/1.11 (* end of lemma zenon_L476_ *)
% 0.93/1.11 assert (zenon_L477_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> (~(hskp11)) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H19b zenon_He7 zenon_Hcb zenon_Hc8 zenon_Hc6 zenon_H9d zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H84 zenon_H87 zenon_H8b zenon_H185 zenon_H17e zenon_H17d zenon_H17c zenon_H199 zenon_He6.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.11 apply (zenon_L475_); trivial.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.11 apply (zenon_L36_); trivial.
% 0.93/1.11 apply (zenon_L476_); trivial.
% 0.93/1.11 apply (zenon_L50_); trivial.
% 0.93/1.11 (* end of lemma zenon_L477_ *)
% 0.93/1.11 assert (zenon_L478_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> (~(hskp11)) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H19f zenon_H19e zenon_He7 zenon_Hcb zenon_Hc8 zenon_Hc6 zenon_H9d zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H84 zenon_H87 zenon_H8b zenon_H185 zenon_H199 zenon_He6 zenon_H227 zenon_H228 zenon_H229 zenon_H187.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.11 apply (zenon_L250_); trivial.
% 0.93/1.11 apply (zenon_L477_); trivial.
% 0.93/1.11 (* end of lemma zenon_L478_ *)
% 0.93/1.11 assert (zenon_L479_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H6d zenon_H6c zenon_H4c zenon_H124 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H142 zenon_H15 zenon_H68 zenon_H149 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_He6 zenon_H199 zenon_H185 zenon_H8b zenon_H87 zenon_H84 zenon_H75 zenon_H165 zenon_H9d zenon_Hc8 zenon_Hcb zenon_He7 zenon_H19e zenon_H1a4.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.11 apply (zenon_L428_); trivial.
% 0.93/1.11 apply (zenon_L478_); trivial.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.11 apply (zenon_L417_); trivial.
% 0.93/1.11 apply (zenon_L478_); trivial.
% 0.93/1.11 (* end of lemma zenon_L479_ *)
% 0.93/1.11 assert (zenon_L480_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> (~(hskp21)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_Hb9 zenon_H9d zenon_H2aa zenon_Hc6 zenon_H17c zenon_H17d zenon_H17e zenon_H18c zenon_H18d zenon_H194 zenon_H185 zenon_H75 zenon_H82 zenon_H84 zenon_H87 zenon_H8b.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.11 apply (zenon_L36_); trivial.
% 0.93/1.11 apply (zenon_L459_); trivial.
% 0.93/1.11 (* end of lemma zenon_L480_ *)
% 0.93/1.11 assert (zenon_L481_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> (~(hskp11)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp22)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H19b zenon_He7 zenon_Hcb zenon_Hc8 zenon_H189 zenon_Hde zenon_H17e zenon_H17d zenon_H17c zenon_H8b zenon_H87 zenon_H84 zenon_H75 zenon_H185 zenon_Hc6 zenon_H2aa zenon_H9d zenon_He6.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.11 apply (zenon_L92_); trivial.
% 0.93/1.11 apply (zenon_L480_); trivial.
% 0.93/1.11 apply (zenon_L50_); trivial.
% 0.93/1.11 (* end of lemma zenon_L481_ *)
% 0.93/1.11 assert (zenon_L482_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((hskp30)\/(hskp24)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (ndr1_0) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H19e zenon_He6 zenon_H199 zenon_H8b zenon_H2aa zenon_Hc6 zenon_H299 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_Hb7 zenon_Hb5 zenon_H292 zenon_H290 zenon_H5e zenon_H5f zenon_H60 zenon_H15 zenon_H68 zenon_H75 zenon_H84 zenon_H99 zenon_H9d zenon_Ha zenon_H227 zenon_H228 zenon_H229 zenon_H17c zenon_H17d zenon_H17e zenon_H187.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.11 apply (zenon_L250_); trivial.
% 0.93/1.11 apply (zenon_L447_); trivial.
% 0.93/1.11 (* end of lemma zenon_L482_ *)
% 0.93/1.11 assert (zenon_L483_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H67 zenon_H1a4 zenon_He5 zenon_H20e zenon_H285 zenon_H1c4 zenon_H215 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H9d zenon_H99 zenon_H84 zenon_H75 zenon_Hb7 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_Hc6 zenon_H2aa zenon_H8b zenon_H199 zenon_He6 zenon_H19e zenon_H120 zenon_H299 zenon_H292 zenon_H290 zenon_H15 zenon_H68.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.11 apply (zenon_L417_); trivial.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.11 apply (zenon_L482_); trivial.
% 0.93/1.11 apply (zenon_L452_); trivial.
% 0.93/1.11 (* end of lemma zenon_L483_ *)
% 0.93/1.11 assert (zenon_L484_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c2_1 (a1429)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (ndr1_0) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H19e zenon_He6 zenon_H199 zenon_H145 zenon_H60 zenon_H5f zenon_H5e zenon_H12a zenon_H129 zenon_H128 zenon_H290 zenon_H292 zenon_Hb5 zenon_Hb7 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H299 zenon_Hc6 zenon_H2aa zenon_Ha zenon_H227 zenon_H228 zenon_H229 zenon_H17c zenon_H17d zenon_H17e zenon_H187.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.11 apply (zenon_L250_); trivial.
% 0.93/1.11 apply (zenon_L469_); trivial.
% 0.93/1.11 (* end of lemma zenon_L484_ *)
% 0.93/1.11 assert (zenon_L485_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp28)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H145 zenon_H1f6 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H290 zenon_H292 zenon_H215 zenon_H12a zenon_H129 zenon_H128 zenon_Ha zenon_H5e zenon_H5f zenon_H60.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 0.93/1.11 apply (zenon_L449_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 0.93/1.11 apply (zenon_L70_); trivial.
% 0.93/1.11 apply (zenon_L25_); trivial.
% 0.93/1.11 (* end of lemma zenon_L485_ *)
% 0.93/1.11 assert (zenon_L486_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_He2 zenon_H20e zenon_H285 zenon_H1c4 zenon_H215 zenon_H292 zenon_H290 zenon_H128 zenon_H129 zenon_H12a zenon_H5e zenon_H5f zenon_H60 zenon_H145.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.11 apply (zenon_L485_); trivial.
% 0.93/1.11 apply (zenon_L451_); trivial.
% 0.93/1.11 (* end of lemma zenon_L486_ *)
% 0.93/1.11 assert (zenon_L487_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H67 zenon_H1a4 zenon_He5 zenon_H20e zenon_H285 zenon_H1c4 zenon_H215 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H2aa zenon_Hc6 zenon_H165 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_Hb7 zenon_H128 zenon_H129 zenon_H12a zenon_H145 zenon_H199 zenon_He6 zenon_H19e zenon_H120 zenon_H299 zenon_H292 zenon_H290 zenon_H15 zenon_H68.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.11 apply (zenon_L417_); trivial.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.11 apply (zenon_L484_); trivial.
% 0.93/1.11 apply (zenon_L486_); trivial.
% 0.93/1.11 (* end of lemma zenon_L487_ *)
% 0.93/1.11 assert (zenon_L488_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H6c zenon_H1a4 zenon_He5 zenon_H20e zenon_H285 zenon_H1c4 zenon_H215 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H2aa zenon_H165 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_Hb7 zenon_H199 zenon_He6 zenon_H19e zenon_H120 zenon_H15 zenon_H68 zenon_H124 zenon_H287 zenon_H45 zenon_H12a zenon_H129 zenon_H128 zenon_Hc6 zenon_H101 zenon_H142 zenon_H299 zenon_H292 zenon_H290 zenon_H145 zenon_H149.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.11 apply (zenon_L466_); trivial.
% 0.93/1.11 apply (zenon_L487_); trivial.
% 0.93/1.11 (* end of lemma zenon_L488_ *)
% 0.93/1.11 assert (zenon_L489_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H72 zenon_H6e zenon_H56 zenon_H55 zenon_H54 zenon_H51 zenon_H4d zenon_H68 zenon_H15 zenon_H290 zenon_H292 zenon_H299 zenon_H120 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H1e8 zenon_H19e zenon_H1a4 zenon_H6c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.11 apply (zenon_L474_); trivial.
% 0.93/1.11 apply (zenon_L28_); trivial.
% 0.93/1.11 (* end of lemma zenon_L489_ *)
% 0.93/1.11 assert (zenon_L490_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H67 zenon_H145 zenon_H1af zenon_H1ae zenon_H1ad zenon_H290 zenon_H292 zenon_H299 zenon_H1ba zenon_H12a zenon_H129 zenon_H128.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 0.93/1.11 apply (zenon_L414_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 0.93/1.11 apply (zenon_L25_); trivial.
% 0.93/1.11 apply (zenon_L104_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 0.93/1.11 apply (zenon_L70_); trivial.
% 0.93/1.11 apply (zenon_L25_); trivial.
% 0.93/1.11 (* end of lemma zenon_L490_ *)
% 0.93/1.11 assert (zenon_L491_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp8)) -> (~(hskp12)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H6c zenon_H145 zenon_H12a zenon_H129 zenon_H128 zenon_H290 zenon_H292 zenon_H299 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H4d zenon_H1 zenon_H51.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.11 apply (zenon_L23_); trivial.
% 0.93/1.11 apply (zenon_L490_); trivial.
% 0.93/1.11 (* end of lemma zenon_L491_ *)
% 0.93/1.11 assert (zenon_L492_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H1e8 zenon_H299 zenon_H292 zenon_H290 zenon_H9e zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H4d.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H154 | zenon_intro zenon_H1e9 ].
% 0.93/1.11 apply (zenon_L445_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17b | zenon_intro zenon_H4e ].
% 0.93/1.11 apply (zenon_L87_); trivial.
% 0.93/1.11 exact (zenon_H4d zenon_H4e).
% 0.93/1.11 (* end of lemma zenon_L492_ *)
% 0.93/1.11 assert (zenon_L493_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H19f zenon_H2c zenon_H1bc zenon_Hc6 zenon_H1af zenon_H1ae zenon_H1ad zenon_H1e8 zenon_H4d zenon_H299 zenon_H292 zenon_H290 zenon_Hc zenon_Hd zenon_He zenon_H1c0.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H9e | zenon_intro zenon_H1c1 ].
% 0.93/1.11 apply (zenon_L492_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ].
% 0.93/1.11 apply (zenon_L6_); trivial.
% 0.93/1.11 exact (zenon_H17 zenon_H18).
% 0.93/1.11 apply (zenon_L108_); trivial.
% 0.93/1.11 (* end of lemma zenon_L493_ *)
% 0.93/1.11 assert (zenon_L494_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H154 zenon_Ha zenon_H31 zenon_H290 zenon_H299 zenon_H292.
% 0.93/1.11 generalize (zenon_H154 (a1429)). zenon_intro zenon_H2a3.
% 0.93/1.11 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a4 ].
% 0.93/1.11 exact (zenon_H9 zenon_Ha).
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H298 | zenon_intro zenon_H2a0 ].
% 0.93/1.11 generalize (zenon_H31 (a1429)). zenon_intro zenon_H29a.
% 0.93/1.11 apply (zenon_imply_s _ _ zenon_H29a); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ].
% 0.93/1.11 exact (zenon_H9 zenon_Ha).
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H296 | zenon_intro zenon_H29c ].
% 0.93/1.11 exact (zenon_H290 zenon_H296).
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H291 | zenon_intro zenon_H29d ].
% 0.93/1.11 exact (zenon_H291 zenon_H298).
% 0.93/1.11 exact (zenon_H29d zenon_H299).
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29d | zenon_intro zenon_H297 ].
% 0.93/1.11 exact (zenon_H29d zenon_H299).
% 0.93/1.11 exact (zenon_H297 zenon_H292).
% 0.93/1.11 (* end of lemma zenon_L494_ *)
% 0.93/1.11 assert (zenon_L495_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(hskp8)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H1e8 zenon_H292 zenon_H299 zenon_H290 zenon_H1d9 zenon_H1d8 zenon_H31 zenon_H1d7 zenon_Ha zenon_H4d.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H154 | zenon_intro zenon_H1e9 ].
% 0.93/1.11 apply (zenon_L494_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17b | zenon_intro zenon_H4e ].
% 0.93/1.11 apply (zenon_L150_); trivial.
% 0.93/1.11 exact (zenon_H4d zenon_H4e).
% 0.93/1.11 (* end of lemma zenon_L495_ *)
% 0.93/1.11 assert (zenon_L496_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp8)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H120 zenon_H4d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H292 zenon_H299 zenon_H290 zenon_Ha zenon_H11e.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H31 | zenon_intro zenon_H122 ].
% 0.93/1.11 apply (zenon_L495_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 0.93/1.11 apply (zenon_L415_); trivial.
% 0.93/1.11 exact (zenon_H11e zenon_H11f).
% 0.93/1.11 (* end of lemma zenon_L496_ *)
% 0.93/1.11 assert (zenon_L497_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp8)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H169 zenon_H199 zenon_H4d zenon_H17c zenon_H17d zenon_H17e zenon_H290 zenon_H292 zenon_H299 zenon_H1e8 zenon_Hc zenon_Hd zenon_He.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.11 apply (zenon_L76_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.11 apply (zenon_L492_); trivial.
% 0.93/1.11 apply (zenon_L6_); trivial.
% 0.93/1.11 (* end of lemma zenon_L497_ *)
% 0.93/1.11 assert (zenon_L498_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H168 zenon_H199 zenon_H290 zenon_H292 zenon_H299 zenon_H17c zenon_H17d zenon_H17e zenon_H4d zenon_H1e8 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H96 zenon_H165 zenon_H9d.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.11 apply (zenon_L128_); trivial.
% 0.93/1.11 apply (zenon_L497_); trivial.
% 0.93/1.11 (* end of lemma zenon_L498_ *)
% 0.93/1.11 assert (zenon_L499_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_He6 zenon_H1c0 zenon_H17 zenon_H9d zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H1e8 zenon_H4d zenon_H17e zenon_H17d zenon_H17c zenon_H299 zenon_H292 zenon_H290 zenon_H199 zenon_H168.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.11 apply (zenon_L498_); trivial.
% 0.93/1.11 apply (zenon_L113_); trivial.
% 0.93/1.11 (* end of lemma zenon_L499_ *)
% 0.93/1.11 assert (zenon_L500_ : ((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))))))\/(hskp27))) -> (~(c2_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c0_1 (a1457))) -> (~(hskp8)) -> (ndr1_0) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp27)) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H2ac zenon_H1e zenon_H1d zenon_H1c zenon_H4d zenon_Ha zenon_H17c zenon_H17d zenon_H17e zenon_H299 zenon_H292 zenon_H1e8 zenon_H1c2.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1b | zenon_intro zenon_H2ad ].
% 0.93/1.11 apply (zenon_L10_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1c3 ].
% 0.93/1.11 apply (zenon_L420_); trivial.
% 0.93/1.11 exact (zenon_H1c2 zenon_H1c3).
% 0.93/1.11 (* end of lemma zenon_L500_ *)
% 0.93/1.11 assert (zenon_L501_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1487)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H1d1 zenon_H185 zenon_H8f zenon_H8e zenon_H8d zenon_H17e zenon_H17d zenon_H17c.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 0.93/1.11 apply (zenon_L37_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 0.93/1.11 apply (zenon_L87_); trivial.
% 0.93/1.11 apply (zenon_L120_); trivial.
% 0.93/1.11 (* end of lemma zenon_L501_ *)
% 0.93/1.11 assert (zenon_L502_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c2_1 (a1457))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((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))))))\/(hskp27))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H98 zenon_H1d6 zenon_H185 zenon_H1c zenon_H1d zenon_H1e zenon_H1e8 zenon_H4d zenon_H17e zenon_H17d zenon_H17c zenon_H292 zenon_H299 zenon_H2ac.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 0.93/1.11 apply (zenon_L500_); trivial.
% 0.93/1.11 apply (zenon_L501_); trivial.
% 0.93/1.11 (* end of lemma zenon_L502_ *)
% 0.93/1.11 assert (zenon_L503_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H1d1 zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H17c zenon_H17d zenon_H17e zenon_H55 zenon_H56 zenon_H185.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.11 apply (zenon_L76_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 0.93/1.11 apply (zenon_L82_); trivial.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 0.93/1.11 apply (zenon_L87_); trivial.
% 0.93/1.11 apply (zenon_L120_); trivial.
% 0.93/1.11 apply (zenon_L120_); trivial.
% 0.93/1.11 (* end of lemma zenon_L503_ *)
% 0.93/1.11 assert (zenon_L504_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c2_1 (a1457))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((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))))))\/(hskp27))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H169 zenon_H1d6 zenon_H167 zenon_H55 zenon_H56 zenon_H185 zenon_H1c zenon_H1d zenon_H1e zenon_H1e8 zenon_H4d zenon_H17e zenon_H17d zenon_H17c zenon_H292 zenon_H299 zenon_H2ac.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 0.93/1.11 apply (zenon_L500_); trivial.
% 0.93/1.11 apply (zenon_L503_); trivial.
% 0.93/1.11 (* end of lemma zenon_L504_ *)
% 0.93/1.11 assert (zenon_L505_ : ((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((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))))))\/(hskp27))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H27 zenon_H168 zenon_H167 zenon_H55 zenon_H56 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H2ac zenon_H299 zenon_H292 zenon_H17c zenon_H17d zenon_H17e zenon_H4d zenon_H1e8 zenon_H185 zenon_H1d6 zenon_H9d.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.11 apply (zenon_L126_); trivial.
% 0.93/1.11 apply (zenon_L502_); trivial.
% 0.93/1.11 apply (zenon_L504_); trivial.
% 0.93/1.11 (* end of lemma zenon_L505_ *)
% 0.93/1.11 assert (zenon_L506_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((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))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H19f zenon_H2c zenon_H167 zenon_H55 zenon_H56 zenon_H2ac zenon_H185 zenon_H1d6 zenon_H168 zenon_H199 zenon_H290 zenon_H292 zenon_H299 zenon_H4d zenon_H1e8 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H9d zenon_H1c0 zenon_He6.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.93/1.11 apply (zenon_L499_); trivial.
% 0.93/1.11 apply (zenon_L505_); trivial.
% 0.93/1.11 (* end of lemma zenon_L506_ *)
% 0.93/1.11 assert (zenon_L507_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((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))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H167 zenon_H55 zenon_H56 zenon_H2ac zenon_H185 zenon_H168 zenon_H199 zenon_H8b zenon_H121 zenon_H75 zenon_H165 zenon_H9d zenon_He6 zenon_H120 zenon_H1d6 zenon_H1d2 zenon_Hc8 zenon_H1af zenon_H1ae zenon_H1ad zenon_H1c6 zenon_H1c0 zenon_H290 zenon_H292 zenon_H299 zenon_H4d zenon_H1e8 zenon_Hc6 zenon_H1bc zenon_H2c zenon_H1a4.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.11 apply (zenon_L122_); trivial.
% 0.93/1.11 apply (zenon_L493_); trivial.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.11 apply (zenon_L496_); trivial.
% 0.93/1.11 apply (zenon_L506_); trivial.
% 0.93/1.11 (* end of lemma zenon_L507_ *)
% 0.93/1.11 assert (zenon_L508_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp8)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp27))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H1a2 zenon_H1a3 zenon_Hfa zenon_H25 zenon_H6c zenon_H145 zenon_H290 zenon_H292 zenon_H299 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H4d zenon_H51 zenon_H1a4 zenon_H2c zenon_H1bc zenon_Hc6 zenon_H1e8 zenon_H1c0 zenon_H1c6 zenon_H1d2 zenon_H1d6 zenon_H120 zenon_He6 zenon_H9d zenon_H165 zenon_H75 zenon_H121 zenon_H8b zenon_H199 zenon_H168 zenon_H185 zenon_H2ac zenon_H56 zenon_H55 zenon_H167 zenon_H1ea zenon_H72.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.11 apply (zenon_L491_); trivial.
% 0.93/1.11 apply (zenon_L507_); trivial.
% 0.93/1.11 apply (zenon_L101_); trivial.
% 0.93/1.11 (* end of lemma zenon_L508_ *)
% 0.93/1.11 assert (zenon_L509_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(hskp15)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H2c zenon_H1bc zenon_Hc6 zenon_H1af zenon_H1ae zenon_H1ad zenon_H2f zenon_H25 zenon_H290 zenon_H299 zenon_H292 zenon_H11e zenon_H120 zenon_H4c.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.93/1.11 apply (zenon_L15_); trivial.
% 0.93/1.11 apply (zenon_L427_); trivial.
% 0.93/1.11 apply (zenon_L108_); trivial.
% 0.93/1.11 (* end of lemma zenon_L509_ *)
% 0.93/1.11 assert (zenon_L510_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp4)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_H9d zenon_H187 zenon_H16f zenon_H17c zenon_H17d zenon_H17e zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b6 zenon_H1be.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.11 apply (zenon_L111_); trivial.
% 0.93/1.11 apply (zenon_L90_); trivial.
% 0.93/1.11 (* end of lemma zenon_L510_ *)
% 0.93/1.11 assert (zenon_L511_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp4)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> False).
% 0.93/1.11 do 0 intro. intros zenon_Hb9 zenon_H9d zenon_H2aa zenon_Hc6 zenon_H17c zenon_H17d zenon_H17e zenon_H18c zenon_H18d zenon_H194 zenon_H185 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b6 zenon_H1be.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.11 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.11 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.11 apply (zenon_L111_); trivial.
% 0.93/1.11 apply (zenon_L459_); trivial.
% 0.93/1.11 (* end of lemma zenon_L511_ *)
% 0.93/1.11 assert (zenon_L512_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> (~(hskp4)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H19b zenon_He6 zenon_H2aa zenon_Hc6 zenon_H17c zenon_H17d zenon_H17e zenon_H185 zenon_H1be zenon_H1b6 zenon_H1af zenon_H1ae zenon_H1ad zenon_H84 zenon_H99 zenon_H9d.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.12 apply (zenon_L112_); trivial.
% 0.93/1.12 apply (zenon_L511_); trivial.
% 0.93/1.12 (* end of lemma zenon_L512_ *)
% 0.93/1.12 assert (zenon_L513_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H4c zenon_H124 zenon_H120 zenon_H11e zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H54 zenon_H55 zenon_H56 zenon_H128 zenon_H129 zenon_H12a zenon_H142 zenon_H4f zenon_H145 zenon_H149.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.12 apply (zenon_L424_); trivial.
% 0.93/1.12 apply (zenon_L74_); trivial.
% 0.93/1.12 apply (zenon_L427_); trivial.
% 0.93/1.12 (* end of lemma zenon_L513_ *)
% 0.93/1.12 assert (zenon_L514_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp11)) -> (~(c1_1 (a1441))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp0)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H2aa zenon_Hab zenon_Ha9 zenon_Ha zenon_Hb zenon_H290 zenon_H292 zenon_H299 zenon_H185 zenon_Hc8 zenon_H160 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H17e zenon_H17d zenon_H17c zenon_H18c zenon_H18d zenon_H194 zenon_H167 zenon_Hc6.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H14a | zenon_intro zenon_H2ab ].
% 0.93/1.12 apply (zenon_L142_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H9e | zenon_intro zenon_Hc7 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.12 apply (zenon_L142_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.12 apply (zenon_L445_); trivial.
% 0.93/1.12 apply (zenon_L43_); trivial.
% 0.93/1.12 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.12 (* end of lemma zenon_L514_ *)
% 0.93/1.12 assert (zenon_L515_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (ndr1_0) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp11)) -> (~(c1_1 (a1441))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp0)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H199 zenon_H96 zenon_H165 zenon_H2aa zenon_Hab zenon_Ha9 zenon_Ha zenon_H290 zenon_H292 zenon_H299 zenon_H185 zenon_Hc8 zenon_H160 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H17e zenon_H17d zenon_H17c zenon_H18c zenon_H18d zenon_H194 zenon_H167 zenon_Hc6.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.12 apply (zenon_L142_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.12 apply (zenon_L142_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.12 apply (zenon_L445_); trivial.
% 0.93/1.12 apply (zenon_L80_); trivial.
% 0.93/1.12 apply (zenon_L514_); trivial.
% 0.93/1.12 (* end of lemma zenon_L515_ *)
% 0.93/1.12 assert (zenon_L516_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H19b zenon_He6 zenon_Hb5 zenon_Hb7 zenon_H185 zenon_H17e zenon_H17d zenon_H17c zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_Hc8 zenon_H1d2 zenon_H167 zenon_H165 zenon_H299 zenon_H292 zenon_H290 zenon_H2aa zenon_Hc6 zenon_H199.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.12 apply (zenon_L515_); trivial.
% 0.93/1.12 apply (zenon_L96_); trivial.
% 0.93/1.12 (* end of lemma zenon_L516_ *)
% 0.93/1.12 assert (zenon_L517_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> (~(hskp4)) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (ndr1_0) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H19e zenon_He6 zenon_Hb5 zenon_Hb7 zenon_Hc8 zenon_H1d2 zenon_H167 zenon_H165 zenon_H299 zenon_H292 zenon_H290 zenon_H2aa zenon_Hc6 zenon_H199 zenon_H1be zenon_H1b6 zenon_H1af zenon_H1ae zenon_H1ad zenon_Ha zenon_H185 zenon_Hab zenon_H160 zenon_Ha9 zenon_H17e zenon_H17d zenon_H17c zenon_H187 zenon_H9d.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.12 apply (zenon_L510_); trivial.
% 0.93/1.12 apply (zenon_L516_); trivial.
% 0.93/1.12 (* end of lemma zenon_L517_ *)
% 0.93/1.12 assert (zenon_L518_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp11)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c3_1 (a1438)) -> (~(c0_1 (a1438))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (~(c1_1 (a1438))) -> (ndr1_0) -> (c0_1 (a1507)) -> (c1_1 (a1507)) -> (c2_1 (a1507)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H177 zenon_Hc8 zenon_H160 zenon_Ha9 zenon_Hab zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H56 zenon_H54 zenon_H155 zenon_H55 zenon_Ha zenon_H79 zenon_H7a zenon_H7b.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 0.93/1.12 apply (zenon_L141_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 0.93/1.12 apply (zenon_L77_); trivial.
% 0.93/1.12 apply (zenon_L32_); trivial.
% 0.93/1.12 (* end of lemma zenon_L518_ *)
% 0.93/1.12 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (c3_1 (a1438)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp11)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp10)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H86 zenon_H27f zenon_H55 zenon_H54 zenon_H56 zenon_H1d2 zenon_H1af zenon_H1ae zenon_H1ad zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc8 zenon_H177 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H3.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H155 | zenon_intro zenon_H280 ].
% 0.93/1.12 apply (zenon_L518_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H212 | zenon_intro zenon_H4 ].
% 0.93/1.12 apply (zenon_L170_); trivial.
% 0.93/1.12 exact (zenon_H3 zenon_H4).
% 0.93/1.12 (* end of lemma zenon_L519_ *)
% 0.93/1.12 assert (zenon_L520_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H8b zenon_H27f zenon_H3 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H1d2 zenon_Hc8 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1af zenon_H1ae zenon_H1ad zenon_H55 zenon_H54 zenon_H56 zenon_H177 zenon_H73 zenon_H75.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 0.93/1.12 apply (zenon_L31_); trivial.
% 0.93/1.12 apply (zenon_L519_); trivial.
% 0.93/1.12 (* end of lemma zenon_L520_ *)
% 0.93/1.12 assert (zenon_L521_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1438)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H19b zenon_He6 zenon_H9d zenon_H75 zenon_H177 zenon_H56 zenon_H54 zenon_H55 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H3 zenon_H27f zenon_H8b zenon_H185 zenon_H17e zenon_H17d zenon_H17c zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_Hc8 zenon_H1d2 zenon_H167 zenon_H165 zenon_H299 zenon_H292 zenon_H290 zenon_H2aa zenon_Hc6 zenon_H199.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.12 apply (zenon_L515_); trivial.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.12 apply (zenon_L520_); trivial.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.12 apply (zenon_L395_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.12 apply (zenon_L41_); trivial.
% 0.93/1.12 apply (zenon_L514_); trivial.
% 0.93/1.12 (* end of lemma zenon_L521_ *)
% 0.93/1.12 assert (zenon_L522_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(c0_1 (a1438))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp20)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_He2 zenon_H19e zenon_He6 zenon_H54 zenon_H3 zenon_H27f zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H167 zenon_H165 zenon_H299 zenon_H292 zenon_H290 zenon_H2aa zenon_Hc6 zenon_H199 zenon_H8b zenon_H187 zenon_H17e zenon_H17d zenon_H17c zenon_H178 zenon_Hc8 zenon_H56 zenon_H55 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H75 zenon_H185 zenon_H9d.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.12 apply (zenon_L91_); trivial.
% 0.93/1.12 apply (zenon_L521_); trivial.
% 0.93/1.12 (* end of lemma zenon_L522_ *)
% 0.93/1.12 assert (zenon_L523_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp12))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H2ae zenon_H292 zenon_H299 zenon_H290 zenon_H3e zenon_H3d zenon_H3c zenon_Ha zenon_H1.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H106 | zenon_intro zenon_H2af ].
% 0.93/1.12 apply (zenon_L415_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H3b | zenon_intro zenon_H2 ].
% 0.93/1.12 apply (zenon_L17_); trivial.
% 0.93/1.12 exact (zenon_H1 zenon_H2).
% 0.93/1.12 (* end of lemma zenon_L523_ *)
% 0.93/1.12 assert (zenon_L524_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H6d zenon_H2c zenon_H1bc zenon_Hc6 zenon_H165 zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_Hc8 zenon_H1d2 zenon_H1c0 zenon_He6.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.93/1.12 apply (zenon_L233_); trivial.
% 0.93/1.12 apply (zenon_L108_); trivial.
% 0.93/1.12 (* end of lemma zenon_L524_ *)
% 0.93/1.12 assert (zenon_L525_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (ndr1_0) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp12))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H72 zenon_H2c zenon_H1bc zenon_Hc6 zenon_H165 zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_Hc8 zenon_H1d2 zenon_H1c0 zenon_He6 zenon_Ha zenon_H290 zenon_H299 zenon_H292 zenon_H3c zenon_H3d zenon_H3e zenon_H2ae.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.12 apply (zenon_L523_); trivial.
% 0.93/1.12 apply (zenon_L524_); trivial.
% 0.93/1.12 (* end of lemma zenon_L525_ *)
% 0.93/1.12 assert (zenon_L526_ : ((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp12))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H230 zenon_H1a3 zenon_Hfa zenon_H25 zenon_H12a zenon_H129 zenon_H128 zenon_H2ae zenon_H292 zenon_H299 zenon_H290 zenon_He6 zenon_H1c0 zenon_H1d2 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1af zenon_H1ae zenon_H1ad zenon_H165 zenon_Hc6 zenon_H1bc zenon_H2c zenon_H72.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.93/1.12 apply (zenon_L525_); trivial.
% 0.93/1.12 apply (zenon_L101_); trivial.
% 0.93/1.12 (* end of lemma zenon_L526_ *)
% 0.93/1.12 assert (zenon_L527_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H2b0 zenon_H292 zenon_H299 zenon_H290 zenon_H237 zenon_H236 zenon_H235 zenon_Ha zenon_H1.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H106 | zenon_intro zenon_H2b1 ].
% 0.93/1.12 apply (zenon_L415_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H234 | zenon_intro zenon_H2 ].
% 0.93/1.12 apply (zenon_L215_); trivial.
% 0.93/1.12 exact (zenon_H1 zenon_H2).
% 0.93/1.12 (* end of lemma zenon_L527_ *)
% 0.93/1.12 assert (zenon_L528_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (c3_1 (a1448)) -> (~(c2_1 (a1448))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1448)) -> (ndr1_0) -> (~(hskp13)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H285 zenon_H60 zenon_H5f zenon_H5e zenon_He zenon_Hc zenon_H171 zenon_Hd zenon_Ha zenon_H1c4.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H5d | zenon_intro zenon_H286 ].
% 0.93/1.12 apply (zenon_L25_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1c5 ].
% 0.93/1.12 apply (zenon_L265_); trivial.
% 0.93/1.12 exact (zenon_H1c4 zenon_H1c5).
% 0.93/1.12 (* end of lemma zenon_L528_ *)
% 0.93/1.12 assert (zenon_L529_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp13)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H187 zenon_H1c4 zenon_Hd zenon_Hc zenon_He zenon_H5e zenon_H5f zenon_H60 zenon_H285 zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H16f.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 0.93/1.12 apply (zenon_L528_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 0.93/1.12 apply (zenon_L87_); trivial.
% 0.93/1.12 exact (zenon_H16f zenon_H170).
% 0.93/1.12 (* end of lemma zenon_L529_ *)
% 0.93/1.12 assert (zenon_L530_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H19b zenon_He6 zenon_H185 zenon_H17e zenon_H17d zenon_H17c zenon_H199 zenon_H9d zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H168.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.12 apply (zenon_L294_); trivial.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.12 apply (zenon_L126_); trivial.
% 0.93/1.12 apply (zenon_L476_); trivial.
% 0.93/1.12 apply (zenon_L185_); trivial.
% 0.93/1.12 (* end of lemma zenon_L530_ *)
% 0.93/1.12 assert (zenon_L531_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H19f zenon_H19e zenon_He6 zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H9d zenon_H187 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H167 zenon_H299 zenon_H292 zenon_H290 zenon_H199 zenon_H168.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.12 apply (zenon_L458_); trivial.
% 0.93/1.12 apply (zenon_L530_); trivial.
% 0.93/1.12 (* end of lemma zenon_L531_ *)
% 0.93/1.12 assert (zenon_L532_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H67 zenon_H1a4 zenon_H19e zenon_He6 zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H9d zenon_H187 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H167 zenon_H199 zenon_H168 zenon_H120 zenon_H299 zenon_H292 zenon_H290 zenon_H15 zenon_H68.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.12 apply (zenon_L417_); trivial.
% 0.93/1.12 apply (zenon_L531_); trivial.
% 0.93/1.12 (* end of lemma zenon_L532_ *)
% 0.93/1.12 assert (zenon_L533_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H1eb zenon_H6c zenon_H4c zenon_H124 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H142 zenon_H15 zenon_H68 zenon_H149 zenon_H168 zenon_H199 zenon_H167 zenon_H8b zenon_H121 zenon_H75 zenon_H185 zenon_Hab zenon_H160 zenon_Ha9 zenon_H187 zenon_H9d zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_He6 zenon_H19e zenon_H1a4.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.12 apply (zenon_L428_); trivial.
% 0.93/1.12 apply (zenon_L531_); trivial.
% 0.93/1.12 apply (zenon_L532_); trivial.
% 0.93/1.12 (* end of lemma zenon_L533_ *)
% 0.93/1.12 assert (zenon_L534_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((hskp30)\/(hskp24)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H168 zenon_H167 zenon_H121 zenon_Hab zenon_H160 zenon_Ha9 zenon_H1a4 zenon_H19e zenon_H165 zenon_H185 zenon_H199 zenon_He6 zenon_H9d zenon_H187 zenon_H207 zenon_H20a zenon_H75 zenon_H84 zenon_H87 zenon_H8b zenon_Hc8 zenon_Hcb zenon_He7 zenon_H149 zenon_H68 zenon_H15 zenon_H142 zenon_H101 zenon_Hc6 zenon_H217 zenon_H290 zenon_H299 zenon_H292 zenon_H120 zenon_H124 zenon_H4c zenon_H285 zenon_H6c.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.12 apply (zenon_L428_); trivial.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.12 apply (zenon_L431_); trivial.
% 0.93/1.12 apply (zenon_L477_); trivial.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.12 apply (zenon_L417_); trivial.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.12 apply (zenon_L529_); trivial.
% 0.93/1.12 apply (zenon_L477_); trivial.
% 0.93/1.12 apply (zenon_L533_); trivial.
% 0.93/1.12 (* end of lemma zenon_L534_ *)
% 0.93/1.12 assert (zenon_L535_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c2_1 (a1429)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H19b zenon_He6 zenon_H145 zenon_H60 zenon_H5f zenon_H5e zenon_H12a zenon_H129 zenon_H128 zenon_H290 zenon_H292 zenon_Hb5 zenon_Hb7 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H299 zenon_Hc zenon_Hd zenon_He zenon_H199.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.12 apply (zenon_L467_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.12 apply (zenon_L468_); trivial.
% 0.93/1.12 apply (zenon_L6_); trivial.
% 0.93/1.12 apply (zenon_L96_); trivial.
% 0.93/1.12 (* end of lemma zenon_L535_ *)
% 0.93/1.12 assert (zenon_L536_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c2_1 (a1429)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1448)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (ndr1_0) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H19e zenon_He6 zenon_H145 zenon_H12a zenon_H129 zenon_H128 zenon_H290 zenon_H292 zenon_Hb5 zenon_Hb7 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H299 zenon_H199 zenon_H285 zenon_H1c4 zenon_He zenon_Hc zenon_Hd zenon_H60 zenon_H5f zenon_H5e zenon_Ha zenon_H17c zenon_H17d zenon_H17e zenon_H187.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.12 apply (zenon_L529_); trivial.
% 0.93/1.12 apply (zenon_L535_); trivial.
% 0.93/1.12 (* end of lemma zenon_L536_ *)
% 0.93/1.12 assert (zenon_L537_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H4c zenon_H124 zenon_H120 zenon_H11e zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H142 zenon_H4f zenon_H128 zenon_H129 zenon_H12a zenon_H145 zenon_H149.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.12 apply (zenon_L424_); trivial.
% 0.93/1.12 apply (zenon_L465_); trivial.
% 0.93/1.12 apply (zenon_L427_); trivial.
% 0.93/1.12 (* end of lemma zenon_L537_ *)
% 0.93/1.12 assert (zenon_L538_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H1eb zenon_H6c zenon_H15 zenon_H68 zenon_H4c zenon_H124 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H142 zenon_H128 zenon_H129 zenon_H12a zenon_H145 zenon_H149 zenon_H168 zenon_H199 zenon_H167 zenon_H8b zenon_H121 zenon_H75 zenon_H185 zenon_Hab zenon_H160 zenon_Ha9 zenon_H187 zenon_H9d zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_He6 zenon_H19e zenon_H1a4.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.12 apply (zenon_L537_); trivial.
% 0.93/1.12 apply (zenon_L531_); trivial.
% 0.93/1.12 apply (zenon_L532_); trivial.
% 0.93/1.12 (* end of lemma zenon_L538_ *)
% 0.93/1.12 assert (zenon_L539_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H4c zenon_H217 zenon_H168 zenon_H8b zenon_H121 zenon_H75 zenon_H185 zenon_H9d zenon_H149 zenon_H145 zenon_H290 zenon_H292 zenon_H299 zenon_H142 zenon_H101 zenon_Hc6 zenon_H128 zenon_H129 zenon_H12a zenon_H45 zenon_H287 zenon_H124 zenon_H68 zenon_H15 zenon_H120 zenon_H19e zenon_He6 zenon_Hb7 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H199 zenon_H285 zenon_H187 zenon_H215 zenon_H20e zenon_He5 zenon_H1a4 zenon_H6c.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.12 apply (zenon_L466_); trivial.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.12 apply (zenon_L417_); trivial.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.12 apply (zenon_L536_); trivial.
% 0.93/1.12 apply (zenon_L486_); trivial.
% 0.93/1.12 apply (zenon_L538_); trivial.
% 0.93/1.12 (* end of lemma zenon_L539_ *)
% 0.93/1.12 assert (zenon_L540_ : ((ndr1_0)/\((c3_1 (a1438))/\((~(c0_1 (a1438)))/\(~(c1_1 (a1438)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c2_1 (a1434))) -> (c1_1 (a1434)) -> (c3_1 (a1434)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H25e zenon_H72 zenon_H6e zenon_H15 zenon_H290 zenon_H299 zenon_H292 zenon_H235 zenon_H236 zenon_H237 zenon_H2b0.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.12 apply (zenon_L527_); trivial.
% 0.93/1.12 apply (zenon_L28_); trivial.
% 0.93/1.12 (* end of lemma zenon_L540_ *)
% 0.93/1.12 assert (zenon_L541_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H1a3 zenon_H23e zenon_H2b0 zenon_H237 zenon_H236 zenon_H235 zenon_H292 zenon_H299 zenon_H290 zenon_Ha zenon_H1a4 zenon_H19e zenon_He7 zenon_Hcb zenon_H9d zenon_H165 zenon_H75 zenon_H84 zenon_H87 zenon_H8b zenon_H185 zenon_H199 zenon_He6 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H149 zenon_H68 zenon_H15 zenon_H142 zenon_H101 zenon_Hc6 zenon_H217 zenon_H120 zenon_H124 zenon_H4c zenon_H6c zenon_H72.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.12 apply (zenon_L527_); trivial.
% 0.93/1.12 apply (zenon_L479_); trivial.
% 0.93/1.12 apply (zenon_L216_); trivial.
% 0.93/1.12 (* end of lemma zenon_L541_ *)
% 0.93/1.12 assert (zenon_L542_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H1a2 zenon_H6c zenon_H15 zenon_H68 zenon_H4c zenon_H124 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H142 zenon_H145 zenon_H149 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H4d zenon_H1e8 zenon_H19e zenon_H1a4.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.12 apply (zenon_L537_); trivial.
% 0.93/1.12 apply (zenon_L251_); trivial.
% 0.93/1.12 apply (zenon_L473_); trivial.
% 0.93/1.12 (* end of lemma zenon_L542_ *)
% 0.93/1.12 assert (zenon_L543_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H4c zenon_H217 zenon_H168 zenon_H8b zenon_H121 zenon_H75 zenon_H185 zenon_H9d zenon_H149 zenon_H145 zenon_H290 zenon_H292 zenon_H299 zenon_H142 zenon_H101 zenon_Hc6 zenon_H128 zenon_H129 zenon_H12a zenon_H45 zenon_H287 zenon_H124 zenon_H68 zenon_H15 zenon_H120 zenon_H19e zenon_He6 zenon_H199 zenon_Hb7 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H2aa zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H215 zenon_H285 zenon_H20e zenon_He5 zenon_H1a4 zenon_H6c.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.93/1.12 apply (zenon_L488_); trivial.
% 0.93/1.12 apply (zenon_L538_); trivial.
% 0.93/1.12 (* end of lemma zenon_L543_ *)
% 0.93/1.12 assert (zenon_L544_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (ndr1_0) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c2_1 (a1434))) -> (c1_1 (a1434)) -> (c3_1 (a1434)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H72 zenon_H2c zenon_H1bc zenon_Hc6 zenon_H165 zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_Hc8 zenon_H1d2 zenon_H1c0 zenon_He6 zenon_Ha zenon_H290 zenon_H299 zenon_H292 zenon_H235 zenon_H236 zenon_H237 zenon_H2b0.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.12 apply (zenon_L527_); trivial.
% 0.93/1.12 apply (zenon_L524_); trivial.
% 0.93/1.12 (* end of lemma zenon_L544_ *)
% 0.93/1.12 assert (zenon_L545_ : ((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H1a9 zenon_H1a3 zenon_H23e zenon_H2b0 zenon_H237 zenon_H236 zenon_H235 zenon_H292 zenon_H299 zenon_H290 zenon_He6 zenon_H1c0 zenon_H1d2 zenon_H1af zenon_H1ae zenon_H1ad zenon_H165 zenon_Hc6 zenon_H1bc zenon_H2c zenon_H72.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.93/1.12 apply (zenon_L544_); trivial.
% 0.93/1.12 apply (zenon_L216_); trivial.
% 0.93/1.12 (* end of lemma zenon_L545_ *)
% 0.93/1.12 assert (zenon_L546_ : ((ndr1_0)/\((c0_1 (a1435))/\((~(c2_1 (a1435)))/\(~(c3_1 (a1435)))))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a1438))/\((~(c0_1 (a1438)))/\(~(c1_1 (a1438))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((hskp8)\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c3_1 (a1434)) -> (c1_1 (a1434)) -> (~(c2_1 (a1434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H2b2 zenon_H25d zenon_H167 zenon_H2ac zenon_H185 zenon_H168 zenon_H199 zenon_H8b zenon_H121 zenon_H75 zenon_H9d zenon_H120 zenon_H1a3 zenon_H24a zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H248 zenon_H237 zenon_H236 zenon_H235 zenon_H187 zenon_H1c6 zenon_H1d2 zenon_H1d6 zenon_H142 zenon_H1ba zenon_H6c zenon_H1ea zenon_H72 zenon_H2c zenon_H1bc zenon_Hc6 zenon_H165 zenon_H1c0 zenon_He6 zenon_H290 zenon_H299 zenon_H292 zenon_H2b0 zenon_H23e zenon_H1a7.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 0.93/1.12 apply (zenon_L231_); trivial.
% 0.93/1.12 apply (zenon_L545_); trivial.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.12 apply (zenon_L527_); trivial.
% 0.93/1.12 apply (zenon_L507_); trivial.
% 0.93/1.12 apply (zenon_L216_); trivial.
% 0.93/1.12 apply (zenon_L545_); trivial.
% 0.93/1.12 (* end of lemma zenon_L546_ *)
% 0.93/1.12 assert (zenon_L547_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H149 zenon_H68 zenon_H15 zenon_H290 zenon_H292 zenon_H299 zenon_H4f zenon_H142 zenon_H124 zenon_H1f8 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hc6 zenon_H101 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.12 apply (zenon_L261_); trivial.
% 0.93/1.12 apply (zenon_L426_); trivial.
% 0.93/1.12 (* end of lemma zenon_L547_ *)
% 0.93/1.12 assert (zenon_L548_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_He2 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H292 zenon_H290 zenon_H5e zenon_H5f zenon_H60 zenon_H15 zenon_H68.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.12 apply (zenon_L450_); trivial.
% 0.93/1.12 apply (zenon_L260_); trivial.
% 0.93/1.12 (* end of lemma zenon_L548_ *)
% 0.93/1.12 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_He2 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H292 zenon_H290 zenon_Hc zenon_Hd zenon_He zenon_H15 zenon_H6e.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ].
% 0.93/1.12 apply (zenon_L449_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_Hb | zenon_intro zenon_H16 ].
% 0.93/1.12 apply (zenon_L6_); trivial.
% 0.93/1.12 exact (zenon_H15 zenon_H16).
% 0.93/1.12 apply (zenon_L260_); trivial.
% 0.93/1.12 (* end of lemma zenon_L549_ *)
% 0.93/1.12 assert (zenon_L550_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(hskp0)) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_He5 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H292 zenon_H290 zenon_H15 zenon_H6e zenon_He6 zenon_H1d6 zenon_Hb7 zenon_H11e zenon_H1c4 zenon_H1c6 zenon_H8b zenon_H87 zenon_H84 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H9d zenon_Hc6 zenon_Hc8 zenon_Hcb zenon_He7.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.12 apply (zenon_L475_); trivial.
% 0.93/1.12 apply (zenon_L283_); trivial.
% 0.93/1.12 apply (zenon_L50_); trivial.
% 0.93/1.12 apply (zenon_L549_); trivial.
% 0.93/1.12 (* end of lemma zenon_L550_ *)
% 0.93/1.12 assert (zenon_L551_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp20)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H120 zenon_H16f zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H292 zenon_H299 zenon_H290 zenon_Ha zenon_H11e.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H31 | zenon_intro zenon_H122 ].
% 0.93/1.12 apply (zenon_L204_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 0.93/1.12 apply (zenon_L415_); trivial.
% 0.93/1.12 exact (zenon_H11e zenon_H11f).
% 0.93/1.12 (* end of lemma zenon_L551_ *)
% 0.93/1.12 assert (zenon_L552_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp8)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp15)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H19b zenon_H120 zenon_H4d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H292 zenon_H299 zenon_H290 zenon_H11e.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H31 | zenon_intro zenon_H122 ].
% 0.93/1.12 apply (zenon_L227_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 0.93/1.12 apply (zenon_L415_); trivial.
% 0.93/1.12 exact (zenon_H11e zenon_H11f).
% 0.93/1.12 (* end of lemma zenon_L552_ *)
% 0.93/1.12 assert (zenon_L553_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H1eb zenon_H1a4 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H1e8 zenon_H4d zenon_H19e.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.12 apply (zenon_L551_); trivial.
% 0.93/1.12 apply (zenon_L552_); trivial.
% 0.93/1.12 apply (zenon_L251_); trivial.
% 0.93/1.12 (* end of lemma zenon_L553_ *)
% 0.93/1.12 assert (zenon_L554_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(hskp0)) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp0)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H120 zenon_H299 zenon_He5 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H292 zenon_H290 zenon_H15 zenon_H6e zenon_He6 zenon_H1d6 zenon_Hb7 zenon_H1c6 zenon_H8b zenon_H87 zenon_H84 zenon_H75 zenon_H165 zenon_H9d zenon_Hc6 zenon_Hc8 zenon_Hcb zenon_He7 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H4d zenon_H1e8 zenon_H19e zenon_H1a4.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.12 apply (zenon_L550_); trivial.
% 0.93/1.12 apply (zenon_L251_); trivial.
% 0.93/1.12 apply (zenon_L553_); trivial.
% 0.93/1.12 (* end of lemma zenon_L554_ *)
% 0.93/1.12 assert (zenon_L555_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c1_1 (a1465))) -> (c3_1 (a1483)) -> (c2_1 (a1483)) -> (c1_1 (a1483)) -> (ndr1_0) -> (~(hskp28)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H1f8 zenon_H194 zenon_H18d zenon_H14a zenon_H18c zenon_H10f zenon_H110 zenon_H10e zenon_Ha zenon_H1f6.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ].
% 0.93/1.12 generalize (zenon_H1fa (a1465)). zenon_intro zenon_H2b5.
% 0.93/1.12 apply (zenon_imply_s _ _ zenon_H2b5); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b6 ].
% 0.93/1.12 exact (zenon_H9 zenon_Ha).
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H193 | zenon_intro zenon_H2b7 ].
% 0.93/1.12 exact (zenon_H18c zenon_H193).
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H18b | zenon_intro zenon_H198 ].
% 0.93/1.12 apply (zenon_L93_); trivial.
% 0.93/1.12 exact (zenon_H198 zenon_H194).
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f7 ].
% 0.93/1.12 apply (zenon_L155_); trivial.
% 0.93/1.12 exact (zenon_H1f6 zenon_H1f7).
% 0.93/1.12 (* end of lemma zenon_L555_ *)
% 0.93/1.12 assert (zenon_L556_ : ((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp22)) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (~(hskp28)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp0)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H125 zenon_H199 zenon_H96 zenon_H160 zenon_H165 zenon_H2aa zenon_Hab zenon_Ha9 zenon_H290 zenon_H292 zenon_H299 zenon_H1f8 zenon_H194 zenon_H18d zenon_H18c zenon_H1f6 zenon_H167 zenon_Hc6.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10e. zenon_intro zenon_H127.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H110. zenon_intro zenon_H10f.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.12 apply (zenon_L555_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.12 apply (zenon_L555_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.12 apply (zenon_L445_); trivial.
% 0.93/1.12 apply (zenon_L80_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H14a | zenon_intro zenon_H2ab ].
% 0.93/1.12 apply (zenon_L555_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H9e | zenon_intro zenon_Hc7 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.12 apply (zenon_L555_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.12 apply (zenon_L445_); trivial.
% 0.93/1.12 apply (zenon_L43_); trivial.
% 0.93/1.12 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.12 (* end of lemma zenon_L556_ *)
% 0.93/1.12 assert (zenon_L557_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> (~(hskp2)) -> (~(hskp17)) -> ((hskp25)\/((hskp2)\/(hskp17))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H4c zenon_H149 zenon_H142 zenon_H4f zenon_H124 zenon_H199 zenon_H2aa zenon_H290 zenon_H292 zenon_H299 zenon_H165 zenon_H96 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H18c zenon_H18d zenon_H194 zenon_H1f8 zenon_Hc6 zenon_H101 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e zenon_H25 zenon_H17 zenon_H2f.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.93/1.12 apply (zenon_L15_); trivial.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_Ha. zenon_intro zenon_H49.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H33. zenon_intro zenon_H4a.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H34. zenon_intro zenon_H32.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H102 | zenon_intro zenon_H125 ].
% 0.93/1.12 apply (zenon_L63_); trivial.
% 0.93/1.12 apply (zenon_L556_); trivial.
% 0.93/1.12 apply (zenon_L260_); trivial.
% 0.93/1.12 apply (zenon_L133_); trivial.
% 0.93/1.12 (* end of lemma zenon_L557_ *)
% 0.93/1.12 assert (zenon_L558_ : ((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> (~(hskp28)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H125 zenon_H8b zenon_H2aa zenon_Hc6 zenon_H290 zenon_H292 zenon_H299 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H18c zenon_H18d zenon_H194 zenon_H1f6 zenon_H1f8 zenon_H73 zenon_H75.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10e. zenon_intro zenon_H127.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H110. zenon_intro zenon_H10f.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 0.93/1.12 apply (zenon_L31_); trivial.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H14a | zenon_intro zenon_H2ab ].
% 0.93/1.12 apply (zenon_L555_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H9e | zenon_intro zenon_Hc7 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.12 apply (zenon_L555_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.12 apply (zenon_L445_); trivial.
% 0.93/1.12 apply (zenon_L446_); trivial.
% 0.93/1.12 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.12 (* end of lemma zenon_L558_ *)
% 0.93/1.12 assert (zenon_L559_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp26)) -> (~(hskp0)) -> ((hskp30)\/(hskp24)) -> (~(hskp24)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H101 zenon_Hff zenon_Hc6 zenon_H75 zenon_H73 zenon_H1f8 zenon_H194 zenon_H18d zenon_H18c zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H299 zenon_H292 zenon_H290 zenon_H2aa zenon_H8b zenon_H124.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H102 | zenon_intro zenon_H125 ].
% 0.93/1.12 apply (zenon_L63_); trivial.
% 0.93/1.12 apply (zenon_L558_); trivial.
% 0.93/1.12 apply (zenon_L260_); trivial.
% 0.93/1.12 (* end of lemma zenon_L559_ *)
% 0.93/1.12 assert (zenon_L560_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H149 zenon_H68 zenon_H15 zenon_H4f zenon_H142 zenon_H124 zenon_H8b zenon_H2aa zenon_H290 zenon_H292 zenon_H299 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H18c zenon_H18d zenon_H194 zenon_H1f8 zenon_H73 zenon_H75 zenon_Hc6 zenon_H101 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.12 apply (zenon_L559_); trivial.
% 0.93/1.12 apply (zenon_L426_); trivial.
% 0.93/1.12 (* end of lemma zenon_L560_ *)
% 0.93/1.12 assert (zenon_L561_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1487)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (ndr1_0) -> (forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69)))))) -> (~(hskp22)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H165 zenon_H8f zenon_H8e zenon_H8d zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Ha zenon_H17b zenon_H96.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8c | zenon_intro zenon_H166 ].
% 0.93/1.12 apply (zenon_L37_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ].
% 0.93/1.12 apply (zenon_L166_); trivial.
% 0.93/1.12 exact (zenon_H96 zenon_H97).
% 0.93/1.12 (* end of lemma zenon_L561_ *)
% 0.93/1.12 assert (zenon_L562_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp22)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> (~(c1_1 (a1487))) -> (~(c2_1 (a1487))) -> (c3_1 (a1487)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H185 zenon_H96 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H8d zenon_H8e zenon_H8f zenon_H165 zenon_Hb zenon_Ha zenon_Ha9 zenon_Hab.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 0.93/1.12 apply (zenon_L37_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 0.93/1.12 apply (zenon_L561_); trivial.
% 0.93/1.12 apply (zenon_L43_); trivial.
% 0.93/1.12 (* end of lemma zenon_L562_ *)
% 0.93/1.12 assert (zenon_L563_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> False).
% 0.93/1.12 do 0 intro. intros zenon_H98 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H292 zenon_H290 zenon_H185 zenon_Hab zenon_Ha9 zenon_H96 zenon_H165 zenon_H15 zenon_H6e.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.12 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ].
% 0.93/1.12 apply (zenon_L449_); trivial.
% 0.93/1.12 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_Hb | zenon_intro zenon_H16 ].
% 0.93/1.12 apply (zenon_L562_); trivial.
% 0.93/1.12 exact (zenon_H15 zenon_H16).
% 0.93/1.12 apply (zenon_L260_); trivial.
% 0.93/1.12 (* end of lemma zenon_L563_ *)
% 0.93/1.12 assert (zenon_L564_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((hskp30)\/(hskp24)) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19b zenon_He6 zenon_H149 zenon_H68 zenon_H15 zenon_H4f zenon_H142 zenon_H124 zenon_H8b zenon_H2aa zenon_H290 zenon_H292 zenon_H299 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H1f8 zenon_H75 zenon_Hc6 zenon_H101 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e zenon_H6e zenon_H165 zenon_H185 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215 zenon_H9d.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.13 apply (zenon_L560_); trivial.
% 0.93/1.13 apply (zenon_L563_); trivial.
% 0.93/1.13 apply (zenon_L393_); trivial.
% 0.93/1.13 (* end of lemma zenon_L564_ *)
% 0.93/1.13 assert (zenon_L565_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((hskp30)\/(hskp24)) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_He2 zenon_H19e zenon_He6 zenon_H149 zenon_H68 zenon_H15 zenon_H4f zenon_H142 zenon_H124 zenon_H8b zenon_H2aa zenon_H290 zenon_H292 zenon_H299 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H1f8 zenon_H75 zenon_Hc6 zenon_H101 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e zenon_H6e zenon_H165 zenon_H185 zenon_H215 zenon_H9d zenon_H227 zenon_H228 zenon_H229 zenon_H17c zenon_H17d zenon_H17e zenon_H187.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.13 apply (zenon_L250_); trivial.
% 0.93/1.13 apply (zenon_L564_); trivial.
% 0.93/1.13 (* end of lemma zenon_L565_ *)
% 0.93/1.13 assert (zenon_L566_ : ((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483))))) -> ((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))))))\/(hskp27))) -> (~(c2_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c0_1 (a1457))) -> (~(hskp27)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H125 zenon_H2ac zenon_H1e zenon_H1d zenon_H1c zenon_H1c2.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10e. zenon_intro zenon_H127.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H110. zenon_intro zenon_H10f.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1b | zenon_intro zenon_H2ad ].
% 0.93/1.13 apply (zenon_L10_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1c3 ].
% 0.93/1.13 apply (zenon_L155_); trivial.
% 0.93/1.13 exact (zenon_H1c2 zenon_H1c3).
% 0.93/1.13 (* end of lemma zenon_L566_ *)
% 0.93/1.13 assert (zenon_L567_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c3_1 (a1487)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp26)) -> (~(hskp0)) -> (~(c0_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c2_1 (a1457))) -> ((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))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H1d6 zenon_H185 zenon_H17e zenon_H17d zenon_H17c zenon_H8f zenon_H8e zenon_H8d zenon_H101 zenon_Hff zenon_Hc6 zenon_H1c zenon_H1d zenon_H1e zenon_H2ac zenon_H124.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H102 | zenon_intro zenon_H125 ].
% 0.93/1.13 apply (zenon_L63_); trivial.
% 0.93/1.13 apply (zenon_L566_); trivial.
% 0.93/1.13 apply (zenon_L501_); trivial.
% 0.93/1.13 (* end of lemma zenon_L567_ *)
% 0.93/1.13 assert (zenon_L568_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((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))))))\/(hskp27))) -> (~(c2_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c0_1 (a1457))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H98 zenon_H149 zenon_H68 zenon_H15 zenon_H290 zenon_H292 zenon_H299 zenon_H4f zenon_H142 zenon_H124 zenon_H2ac zenon_H1e zenon_H1d zenon_H1c zenon_Hc6 zenon_H101 zenon_H17c zenon_H17d zenon_H17e zenon_H185 zenon_H1d6.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.13 apply (zenon_L567_); trivial.
% 0.93/1.13 apply (zenon_L426_); trivial.
% 0.93/1.13 (* end of lemma zenon_L568_ *)
% 0.93/1.13 assert (zenon_L569_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((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))))))\/(hskp27))) -> (~(c2_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c0_1 (a1457))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((hskp30)\/(hskp24)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19b zenon_H9d zenon_H2ac zenon_H1e zenon_H1d zenon_H1c zenon_H17c zenon_H17d zenon_H17e zenon_H185 zenon_H1d6 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H101 zenon_Hc6 zenon_H75 zenon_H1f8 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H299 zenon_H292 zenon_H290 zenon_H2aa zenon_H8b zenon_H124 zenon_H142 zenon_H4f zenon_H15 zenon_H68 zenon_H149.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.13 apply (zenon_L560_); trivial.
% 0.93/1.13 apply (zenon_L568_); trivial.
% 0.93/1.13 (* end of lemma zenon_L569_ *)
% 0.93/1.13 assert (zenon_L570_ : ((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((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))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((hskp30)\/(hskp24)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H27 zenon_H19e zenon_H9d zenon_H2ac zenon_H185 zenon_H1d6 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H101 zenon_Hc6 zenon_H75 zenon_H1f8 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H299 zenon_H292 zenon_H290 zenon_H2aa zenon_H8b zenon_H124 zenon_H142 zenon_H4f zenon_H15 zenon_H68 zenon_H149 zenon_H227 zenon_H228 zenon_H229 zenon_H17c zenon_H17d zenon_H17e zenon_H187.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.13 apply (zenon_L250_); trivial.
% 0.93/1.13 apply (zenon_L569_); trivial.
% 0.93/1.13 (* end of lemma zenon_L570_ *)
% 0.93/1.13 assert (zenon_L571_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((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))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H1a4 zenon_H2c zenon_H2ac zenon_H1d6 zenon_H19e zenon_He6 zenon_Hb7 zenon_H2f zenon_H25 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H1f8 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H2aa zenon_H199 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H9d zenon_H215 zenon_H185 zenon_H6e zenon_H75 zenon_H177 zenon_H8b zenon_He5 zenon_H149 zenon_H68 zenon_H15 zenon_H4f zenon_H142 zenon_H101 zenon_Hc6 zenon_H217 zenon_H290 zenon_H299 zenon_H292 zenon_H120 zenon_H124 zenon_H4c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.13 apply (zenon_L428_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.13 apply (zenon_L250_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.13 apply (zenon_L557_); trivial.
% 0.93/1.13 apply (zenon_L96_); trivial.
% 0.93/1.13 apply (zenon_L565_); trivial.
% 0.93/1.13 apply (zenon_L570_); trivial.
% 0.93/1.13 (* end of lemma zenon_L571_ *)
% 0.93/1.13 assert (zenon_L572_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_He2 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H292 zenon_H290 zenon_H128 zenon_H129 zenon_H12a zenon_H5e zenon_H5f zenon_H60 zenon_H145.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 0.93/1.13 apply (zenon_L485_); trivial.
% 0.93/1.13 apply (zenon_L260_); trivial.
% 0.93/1.13 (* end of lemma zenon_L572_ *)
% 0.93/1.13 assert (zenon_L573_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H67 zenon_H1a4 zenon_He5 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H2aa zenon_Hc6 zenon_H165 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_Hb7 zenon_H128 zenon_H129 zenon_H12a zenon_H145 zenon_H199 zenon_He6 zenon_H19e zenon_H120 zenon_H299 zenon_H292 zenon_H290 zenon_H15 zenon_H68.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.13 apply (zenon_L417_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.13 apply (zenon_L484_); trivial.
% 0.93/1.13 apply (zenon_L572_); trivial.
% 0.93/1.13 (* end of lemma zenon_L573_ *)
% 0.93/1.13 assert (zenon_L574_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((hskp25)\/((hskp2)\/(hskp17))) -> (~(hskp17)) -> (~(hskp2)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((~(c0_1 X88))\/(~(c3_1 X88))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19b zenon_He6 zenon_H6e zenon_H15 zenon_Hb5 zenon_Hb7 zenon_H56 zenon_H55 zenon_H54 zenon_H2f zenon_H17 zenon_H25 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H101 zenon_Hc6 zenon_H1f8 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H299 zenon_H292 zenon_H290 zenon_H2aa zenon_H199 zenon_H124 zenon_H4f zenon_H142 zenon_H149 zenon_H4c.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.13 apply (zenon_L557_); trivial.
% 0.93/1.13 apply (zenon_L46_); trivial.
% 0.93/1.13 (* end of lemma zenon_L574_ *)
% 0.93/1.13 assert (zenon_L575_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_He2 zenon_He6 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H8b zenon_H27f zenon_H3 zenon_H1d2 zenon_Hc8 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1af zenon_H1ae zenon_H1ad zenon_H55 zenon_H54 zenon_H56 zenon_H177 zenon_H75 zenon_H165 zenon_H185 zenon_H9d.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.13 apply (zenon_L520_); trivial.
% 0.93/1.13 apply (zenon_L168_); trivial.
% 0.93/1.13 apply (zenon_L393_); trivial.
% 0.93/1.13 (* end of lemma zenon_L575_ *)
% 0.93/1.13 assert (zenon_L576_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp4)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19f zenon_He5 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H8b zenon_H27f zenon_H3 zenon_H55 zenon_H54 zenon_H56 zenon_H177 zenon_H75 zenon_H9d zenon_H187 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b6 zenon_H1be zenon_H199 zenon_Hc6 zenon_H2aa zenon_H290 zenon_H292 zenon_H299 zenon_H165 zenon_H167 zenon_H1d2 zenon_Hc8 zenon_Hb7 zenon_He6 zenon_H19e.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.13 apply (zenon_L517_); trivial.
% 0.93/1.13 apply (zenon_L575_); trivial.
% 0.93/1.13 (* end of lemma zenon_L576_ *)
% 0.93/1.13 assert (zenon_L577_ : ((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(hskp4)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp4)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp12))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H230 zenon_H72 zenon_H2c zenon_H1bc zenon_Hc6 zenon_H9d zenon_H99 zenon_H84 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b6 zenon_H1be zenon_H1c0 zenon_He6 zenon_H290 zenon_H299 zenon_H292 zenon_H2ae.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.13 apply (zenon_L523_); trivial.
% 0.93/1.13 apply (zenon_L114_); trivial.
% 0.93/1.13 (* end of lemma zenon_L577_ *)
% 0.93/1.13 assert (zenon_L578_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp18)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (ndr1_0) -> (~(hskp5)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H6e zenon_Hb5 zenon_H14a zenon_H18c zenon_H18d zenon_H194 zenon_H290 zenon_H292 zenon_Hb7 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ].
% 0.93/1.13 apply (zenon_L443_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_Hb | zenon_intro zenon_H16 ].
% 0.93/1.13 apply (zenon_L6_); trivial.
% 0.93/1.13 exact (zenon_H15 zenon_H16).
% 0.93/1.13 (* end of lemma zenon_L578_ *)
% 0.93/1.13 assert (zenon_L579_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19b zenon_He6 zenon_H8b zenon_H199 zenon_H299 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_Hb7 zenon_Hb5 zenon_H292 zenon_H290 zenon_Hc zenon_Hd zenon_He zenon_H15 zenon_H6e zenon_H75 zenon_H165 zenon_H9d.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 0.93/1.13 apply (zenon_L31_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.13 apply (zenon_L578_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.13 apply (zenon_L578_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.13 apply (zenon_L445_); trivial.
% 0.93/1.13 apply (zenon_L446_); trivial.
% 0.93/1.13 apply (zenon_L6_); trivial.
% 0.93/1.13 apply (zenon_L127_); trivial.
% 0.93/1.13 apply (zenon_L96_); trivial.
% 0.93/1.13 (* end of lemma zenon_L579_ *)
% 0.93/1.13 assert (zenon_L580_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c2_1 (a1429)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19f zenon_He5 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H6e zenon_H15 zenon_He zenon_Hd zenon_Hc zenon_H290 zenon_H292 zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hb7 zenon_H9d zenon_H165 zenon_H75 zenon_H167 zenon_H177 zenon_H299 zenon_H199 zenon_H8b zenon_He6 zenon_H19e.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ].
% 0.93/1.13 apply (zenon_L442_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_Hb | zenon_intro zenon_H16 ].
% 0.93/1.13 apply (zenon_L6_); trivial.
% 0.93/1.13 exact (zenon_H15 zenon_H16).
% 0.93/1.13 apply (zenon_L579_); trivial.
% 0.93/1.13 apply (zenon_L549_); trivial.
% 0.93/1.13 (* end of lemma zenon_L580_ *)
% 0.93/1.13 assert (zenon_L581_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H1a4 zenon_He5 zenon_H20e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H6e zenon_He zenon_Hd zenon_Hc zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hb7 zenon_H9d zenon_H165 zenon_H75 zenon_H167 zenon_H177 zenon_H199 zenon_H8b zenon_He6 zenon_H19e zenon_H149 zenon_H68 zenon_H15 zenon_H4f zenon_H142 zenon_H101 zenon_Hc6 zenon_H217 zenon_H290 zenon_H299 zenon_H292 zenon_H120 zenon_H124 zenon_H4c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.13 apply (zenon_L428_); trivial.
% 0.93/1.13 apply (zenon_L580_); trivial.
% 0.93/1.13 (* end of lemma zenon_L581_ *)
% 0.93/1.13 assert (zenon_L582_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H6d zenon_H6c zenon_H4c zenon_H124 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H142 zenon_H15 zenon_H68 zenon_H149 zenon_H19e zenon_He6 zenon_H8b zenon_H199 zenon_H177 zenon_H167 zenon_H75 zenon_H165 zenon_H9d zenon_Hb7 zenon_Ha9 zenon_H160 zenon_Hab zenon_H187 zenon_H6e zenon_H215 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e zenon_He5 zenon_H1a4.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.13 apply (zenon_L581_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.13 apply (zenon_L417_); trivial.
% 0.93/1.13 apply (zenon_L580_); trivial.
% 0.93/1.13 (* end of lemma zenon_L582_ *)
% 0.93/1.13 assert (zenon_L583_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c2_1 (a1429)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19f zenon_He5 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H9d zenon_H165 zenon_H75 zenon_H6e zenon_H15 zenon_He zenon_Hd zenon_Hc zenon_H290 zenon_H292 zenon_Hb7 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H299 zenon_H199 zenon_H8b zenon_He6 zenon_H19e.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.13 apply (zenon_L250_); trivial.
% 0.93/1.13 apply (zenon_L579_); trivial.
% 0.93/1.13 apply (zenon_L549_); trivial.
% 0.93/1.13 (* end of lemma zenon_L583_ *)
% 0.93/1.13 assert (zenon_L584_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19b zenon_He6 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215 zenon_H9d zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H168.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.13 apply (zenon_L294_); trivial.
% 0.93/1.13 apply (zenon_L393_); trivial.
% 0.93/1.13 (* end of lemma zenon_L584_ *)
% 0.93/1.13 assert (zenon_L585_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19f zenon_He5 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H168 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H9d zenon_Hb7 zenon_H199 zenon_He6 zenon_H19e.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.13 apply (zenon_L250_); trivial.
% 0.93/1.13 apply (zenon_L296_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.13 apply (zenon_L250_); trivial.
% 0.93/1.13 apply (zenon_L584_); trivial.
% 0.93/1.13 (* end of lemma zenon_L585_ *)
% 0.93/1.13 assert (zenon_L586_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1431)) -> (~(c2_1 (a1431))) -> (~(c0_1 (a1431))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H67 zenon_H1a4 zenon_He5 zenon_H20e zenon_H25b zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H215 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H168 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H9d zenon_Hb7 zenon_H199 zenon_He6 zenon_H19e zenon_H120 zenon_H299 zenon_H292 zenon_H290 zenon_H15 zenon_H68.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.13 apply (zenon_L417_); trivial.
% 0.93/1.13 apply (zenon_L585_); trivial.
% 0.93/1.13 (* end of lemma zenon_L586_ *)
% 0.93/1.13 assert (zenon_L587_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(c0_1 (a1431))) -> (~(c2_1 (a1431))) -> (c1_1 (a1431)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H6d zenon_H6c zenon_H68 zenon_H4c zenon_H124 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H142 zenon_H128 zenon_H129 zenon_H12a zenon_H145 zenon_H149 zenon_H19e zenon_He6 zenon_H8b zenon_H199 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_Hb7 zenon_H15 zenon_H6e zenon_H75 zenon_H165 zenon_H9d zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H215 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H20e zenon_He5 zenon_H1a4.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.13 apply (zenon_L537_); trivial.
% 0.93/1.13 apply (zenon_L583_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.13 apply (zenon_L417_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.13 apply (zenon_L250_); trivial.
% 0.93/1.13 apply (zenon_L535_); trivial.
% 0.93/1.13 apply (zenon_L572_); trivial.
% 0.93/1.13 (* end of lemma zenon_L587_ *)
% 0.93/1.13 assert (zenon_L588_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(hskp9)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H4c zenon_H124 zenon_H120 zenon_H11e zenon_H292 zenon_H299 zenon_H290 zenon_H217 zenon_Hc6 zenon_H101 zenon_H26d zenon_H26e zenon_H26f zenon_H84 zenon_H276 zenon_H149.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 0.93/1.13 apply (zenon_L424_); trivial.
% 0.93/1.13 apply (zenon_L275_); trivial.
% 0.93/1.13 apply (zenon_L427_); trivial.
% 0.93/1.13 (* end of lemma zenon_L588_ *)
% 0.93/1.13 assert (zenon_L589_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> (~(c3_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c0_1 (a1447))) -> (~(hskp18)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp0)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H23e zenon_Heb zenon_Hea zenon_He9 zenon_Hb5 zenon_Ha zenon_H14a zenon_H18c zenon_H18d zenon_H194 zenon_H165 zenon_Hab zenon_Ha9 zenon_H17c zenon_H17d zenon_H17e zenon_H26d zenon_H26f zenon_H26e zenon_H185 zenon_H96 zenon_Hb7 zenon_Hc6.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_He8 | zenon_intro zenon_H23f ].
% 0.93/1.13 apply (zenon_L57_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H234 | zenon_intro zenon_Hc7 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.93/1.13 apply (zenon_L289_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.93/1.13 apply (zenon_L94_); trivial.
% 0.93/1.13 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.13 exact (zenon_Hc6 zenon_Hc7).
% 0.93/1.13 (* end of lemma zenon_L589_ *)
% 0.93/1.13 assert (zenon_L590_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c0_1 (a1430))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c3_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c0_1 (a1447))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19b zenon_He6 zenon_H23e zenon_Hc6 zenon_H165 zenon_H26d zenon_H17c zenon_H17d zenon_H17e zenon_Ha9 zenon_Hab zenon_H185 zenon_H26f zenon_H26e zenon_Hb5 zenon_Hb7 zenon_Heb zenon_Hea zenon_He9 zenon_H167 zenon_H160 zenon_H299 zenon_H292 zenon_H290 zenon_H199.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.13 apply (zenon_L589_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.13 apply (zenon_L589_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.13 apply (zenon_L445_); trivial.
% 0.93/1.13 apply (zenon_L80_); trivial.
% 0.93/1.13 apply (zenon_L342_); trivial.
% 0.93/1.13 apply (zenon_L96_); trivial.
% 0.93/1.13 (* end of lemma zenon_L590_ *)
% 0.93/1.13 assert (zenon_L591_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(c0_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c1_1 (a1441))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c0_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp0)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp0))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19f zenon_He5 zenon_H27f zenon_H3 zenon_He6 zenon_H187 zenon_He9 zenon_Hea zenon_Heb zenon_Hb7 zenon_H160 zenon_H26e zenon_H26f zenon_H185 zenon_Hab zenon_Ha9 zenon_H26d zenon_H165 zenon_Hc6 zenon_H23e zenon_H199 zenon_H290 zenon_H292 zenon_H299 zenon_H167 zenon_H19e.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.13 apply (zenon_L291_); trivial.
% 0.93/1.13 apply (zenon_L590_); trivial.
% 0.93/1.13 apply (zenon_L285_); trivial.
% 0.93/1.13 (* end of lemma zenon_L591_ *)
% 0.93/1.13 assert (zenon_L592_ : ((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp7))) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp12))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H230 zenon_H72 zenon_H6e zenon_H15 zenon_H45 zenon_H48 zenon_H290 zenon_H299 zenon_H292 zenon_H2ae.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.13 apply (zenon_L523_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H31 | zenon_intro zenon_H4b ].
% 0.93/1.13 apply (zenon_L414_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H3b | zenon_intro zenon_H46 ].
% 0.93/1.13 apply (zenon_L17_); trivial.
% 0.93/1.13 exact (zenon_H45 zenon_H46).
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_Hb | zenon_intro zenon_H16 ].
% 0.93/1.13 apply (zenon_L6_); trivial.
% 0.93/1.13 exact (zenon_H15 zenon_H16).
% 0.93/1.13 (* end of lemma zenon_L592_ *)
% 0.93/1.13 assert (zenon_L593_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H67 zenon_H1a4 zenon_He5 zenon_H27f zenon_H3 zenon_H26d zenon_H26e zenon_H26f zenon_Hb7 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H283 zenon_H120 zenon_H299 zenon_H292 zenon_H290 zenon_H15 zenon_H68.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.13 apply (zenon_L417_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.13 apply (zenon_L399_); trivial.
% 0.93/1.13 apply (zenon_L285_); trivial.
% 0.93/1.13 (* end of lemma zenon_L593_ *)
% 0.93/1.13 assert (zenon_L594_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1430))) -> (ndr1_0) -> (~(hskp12)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H2b0 zenon_H292 zenon_H299 zenon_H290 zenon_H26f zenon_H26d zenon_H1b zenon_H26e zenon_Ha zenon_H1.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H106 | zenon_intro zenon_H2b1 ].
% 0.93/1.13 apply (zenon_L415_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H234 | zenon_intro zenon_H2 ].
% 0.93/1.13 apply (zenon_L377_); trivial.
% 0.93/1.13 exact (zenon_H1 zenon_H2).
% 0.93/1.13 (* end of lemma zenon_L594_ *)
% 0.93/1.13 assert (zenon_L595_ : ((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))))))\/(hskp27))) -> (~(hskp12)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1429))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> (~(hskp8)) -> (ndr1_0) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp27)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H2ac zenon_H1 zenon_H26e zenon_H26d zenon_H26f zenon_H290 zenon_H2b0 zenon_H4d zenon_Ha zenon_H17c zenon_H17d zenon_H17e zenon_H299 zenon_H292 zenon_H1e8 zenon_H1c2.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1b | zenon_intro zenon_H2ad ].
% 0.93/1.13 apply (zenon_L594_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1c3 ].
% 0.93/1.13 apply (zenon_L420_); trivial.
% 0.93/1.13 exact (zenon_H1c2 zenon_H1c3).
% 0.93/1.13 (* end of lemma zenon_L595_ *)
% 0.93/1.13 assert (zenon_L596_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (c0_1 (a1507)) -> (c1_1 (a1507)) -> (c2_1 (a1507)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H177 zenon_H26e zenon_H26f zenon_H26d zenon_H299 zenon_H292 zenon_H290 zenon_H9e zenon_Ha zenon_H79 zenon_H7a zenon_H7b.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 0.93/1.13 apply (zenon_L279_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 0.93/1.13 apply (zenon_L445_); trivial.
% 0.93/1.13 apply (zenon_L32_); trivial.
% 0.93/1.13 (* end of lemma zenon_L596_ *)
% 0.93/1.13 assert (zenon_L597_ : ((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1428)) -> (c2_1 (a1428)) -> (c0_1 (a1428)) -> (~(hskp18)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H86 zenon_Hb7 zenon_H290 zenon_H292 zenon_H299 zenon_H26d zenon_H26f zenon_H26e zenon_H177 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_Hb5.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 0.93/1.13 apply (zenon_L596_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 0.93/1.13 apply (zenon_L120_); trivial.
% 0.93/1.13 exact (zenon_Hb5 zenon_Hb6).
% 0.93/1.13 (* end of lemma zenon_L597_ *)
% 0.93/1.13 assert (zenon_L598_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H1d1 zenon_H8b zenon_Hb7 zenon_Hb5 zenon_H26d zenon_H26f zenon_H26e zenon_H290 zenon_H292 zenon_H299 zenon_H177 zenon_H73 zenon_H75.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 0.93/1.13 apply (zenon_L31_); trivial.
% 0.93/1.13 apply (zenon_L597_); trivial.
% 0.93/1.13 (* end of lemma zenon_L598_ *)
% 0.93/1.13 assert (zenon_L599_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> ((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))))))\/(hskp27))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H1d6 zenon_H8b zenon_Hb7 zenon_Hb5 zenon_H177 zenon_H73 zenon_H75 zenon_H2b0 zenon_H1 zenon_H26f zenon_H26d zenon_H26e zenon_H292 zenon_H299 zenon_H290 zenon_Ha zenon_H1e8 zenon_H4d zenon_H17e zenon_H17d zenon_H17c zenon_H2ac.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 0.93/1.13 apply (zenon_L595_); trivial.
% 0.93/1.13 apply (zenon_L598_); trivial.
% 0.93/1.13 (* end of lemma zenon_L599_ *)
% 0.93/1.13 assert (zenon_L600_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp12))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((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))))))\/(hskp27))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp8)) -> (~(hskp12)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H6c zenon_H1a4 zenon_He5 zenon_H27f zenon_H3 zenon_H1d6 zenon_H8b zenon_Hb7 zenon_H177 zenon_H75 zenon_H2b0 zenon_H26f zenon_H26d zenon_H26e zenon_H1e8 zenon_H2ac zenon_H185 zenon_H9d zenon_H120 zenon_H299 zenon_H292 zenon_H290 zenon_H15 zenon_H68 zenon_H4d zenon_H1 zenon_H51.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 0.93/1.13 apply (zenon_L23_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.13 apply (zenon_L417_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.13 apply (zenon_L599_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 0.93/1.13 apply (zenon_L595_); trivial.
% 0.93/1.13 apply (zenon_L501_); trivial.
% 0.93/1.13 apply (zenon_L285_); trivial.
% 0.93/1.13 (* end of lemma zenon_L600_ *)
% 0.93/1.13 assert (zenon_L601_ : ((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp12))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H230 zenon_H72 zenon_H6e zenon_H15 zenon_H56 zenon_H55 zenon_H54 zenon_H290 zenon_H299 zenon_H292 zenon_H2ae.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 0.93/1.13 apply (zenon_L523_); trivial.
% 0.93/1.13 apply (zenon_L28_); trivial.
% 0.93/1.13 (* end of lemma zenon_L601_ *)
% 0.93/1.13 assert (zenon_L602_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_He5 zenon_H27f zenon_H3 zenon_H1d6 zenon_Hb7 zenon_H26d zenon_H26f zenon_H26e zenon_H84 zenon_H99 zenon_H11e zenon_H1c4 zenon_H1c6 zenon_He6.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.13 apply (zenon_L306_); trivial.
% 0.93/1.13 apply (zenon_L285_); trivial.
% 0.93/1.13 (* end of lemma zenon_L602_ *)
% 0.93/1.13 assert (zenon_L603_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19f zenon_He5 zenon_H27f zenon_H3 zenon_H54 zenon_H55 zenon_H56 zenon_Hb7 zenon_H26d zenon_H26f zenon_H26e zenon_Ha9 zenon_Hab zenon_H185 zenon_H15 zenon_H6e.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 0.93/1.13 apply (zenon_L343_); trivial.
% 0.93/1.13 apply (zenon_L285_); trivial.
% 0.93/1.13 (* end of lemma zenon_L603_ *)
% 0.93/1.13 assert (zenon_L604_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H1a4 zenon_H54 zenon_H55 zenon_H56 zenon_Ha9 zenon_Hab zenon_H185 zenon_H15 zenon_H6e zenon_He6 zenon_H1c6 zenon_H1c4 zenon_H99 zenon_H84 zenon_H26e zenon_H26f zenon_H26d zenon_Hb7 zenon_H1d6 zenon_H3 zenon_H27f zenon_He5.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.13 apply (zenon_L602_); trivial.
% 0.93/1.13 apply (zenon_L603_); trivial.
% 0.93/1.13 (* end of lemma zenon_L604_ *)
% 0.93/1.13 assert (zenon_L605_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1487)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (~(c3_1 (a1449))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H185 zenon_H8f zenon_H8e zenon_H8d zenon_H1d8 zenon_H1d9 zenon_H131 zenon_H1d7 zenon_Hb zenon_Ha zenon_Ha9 zenon_Hab.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 0.93/1.13 apply (zenon_L37_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 0.93/1.13 apply (zenon_L130_); trivial.
% 0.93/1.13 apply (zenon_L43_); trivial.
% 0.93/1.13 (* end of lemma zenon_L605_ *)
% 0.93/1.13 assert (zenon_L606_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1487)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H177 zenon_H8f zenon_H8e zenon_H8d zenon_H292 zenon_H299 zenon_H290 zenon_Ha zenon_H31 zenon_H1d8 zenon_H1d9.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 0.93/1.13 apply (zenon_L37_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 0.93/1.13 apply (zenon_L494_); trivial.
% 0.93/1.13 apply (zenon_L246_); trivial.
% 0.93/1.13 (* end of lemma zenon_L606_ *)
% 0.93/1.13 assert (zenon_L607_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (~(c3_1 (a1449))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (ndr1_0) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c1_1 (a1487))) -> (~(c2_1 (a1487))) -> (c3_1 (a1487)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp14)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H142 zenon_Hab zenon_Ha9 zenon_Hb zenon_H1d7 zenon_H185 zenon_H1d9 zenon_H1d8 zenon_Ha zenon_H290 zenon_H299 zenon_H292 zenon_H8d zenon_H8e zenon_H8f zenon_H177 zenon_H4f.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 0.93/1.13 apply (zenon_L605_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 0.93/1.13 apply (zenon_L606_); trivial.
% 0.93/1.13 exact (zenon_H4f zenon_H50).
% 0.93/1.13 (* end of lemma zenon_L607_ *)
% 0.93/1.13 assert (zenon_L608_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(hskp23)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H9d zenon_H6e zenon_H15 zenon_H185 zenon_Hab zenon_Ha9 zenon_H177 zenon_H292 zenon_H299 zenon_H290 zenon_H4f zenon_H142 zenon_H56 zenon_H55 zenon_H54 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H11c zenon_H121 zenon_H8b.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 0.93/1.13 apply (zenon_L126_); trivial.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ].
% 0.93/1.13 apply (zenon_L24_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_Hb | zenon_intro zenon_H16 ].
% 0.93/1.13 apply (zenon_L607_); trivial.
% 0.93/1.13 exact (zenon_H15 zenon_H16).
% 0.93/1.13 (* end of lemma zenon_L608_ *)
% 0.93/1.13 assert (zenon_L609_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a1441))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H168 zenon_H167 zenon_H96 zenon_H165 zenon_H187 zenon_H16f zenon_H160 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H54 zenon_H55 zenon_H56 zenon_H142 zenon_H4f zenon_H290 zenon_H299 zenon_H292 zenon_H177 zenon_Ha9 zenon_Hab zenon_H185 zenon_H15 zenon_H6e zenon_H9d.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.13 apply (zenon_L608_); trivial.
% 0.93/1.13 apply (zenon_L153_); trivial.
% 0.93/1.13 (* end of lemma zenon_L609_ *)
% 0.93/1.13 assert (zenon_L610_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp22)) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H169 zenon_H199 zenon_H96 zenon_H160 zenon_H165 zenon_H290 zenon_H292 zenon_H299 zenon_H167 zenon_H194 zenon_H18d zenon_H18c zenon_Ha9 zenon_Hab.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 0.93/1.13 apply (zenon_L76_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 0.93/1.13 apply (zenon_L76_); trivial.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 0.93/1.13 apply (zenon_L445_); trivial.
% 0.93/1.13 apply (zenon_L80_); trivial.
% 0.93/1.13 apply (zenon_L184_); trivial.
% 0.93/1.13 (* end of lemma zenon_L610_ *)
% 0.93/1.13 assert (zenon_L611_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19b zenon_He6 zenon_Hb5 zenon_Hb7 zenon_H9d zenon_H6e zenon_H15 zenon_H185 zenon_Hab zenon_Ha9 zenon_H177 zenon_H292 zenon_H299 zenon_H290 zenon_H4f zenon_H142 zenon_H56 zenon_H55 zenon_H54 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H167 zenon_H160 zenon_H165 zenon_H199 zenon_H168.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 0.93/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 0.93/1.13 apply (zenon_L608_); trivial.
% 0.93/1.13 apply (zenon_L610_); trivial.
% 0.93/1.13 apply (zenon_L46_); trivial.
% 0.93/1.13 (* end of lemma zenon_L611_ *)
% 0.93/1.13 assert (zenon_L612_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(c1_1 (a1441))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H19e zenon_H199 zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_H160 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H54 zenon_H55 zenon_H56 zenon_H142 zenon_H4f zenon_H290 zenon_H299 zenon_H292 zenon_H177 zenon_Ha9 zenon_Hab zenon_H185 zenon_H15 zenon_H6e zenon_H9d zenon_Hb7 zenon_Hb5 zenon_He6.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 0.93/1.13 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 0.93/1.13 apply (zenon_L609_); trivial.
% 0.93/1.13 apply (zenon_L46_); trivial.
% 0.93/1.13 apply (zenon_L611_); trivial.
% 0.93/1.13 (* end of lemma zenon_L612_ *)
% 0.93/1.13 assert (zenon_L613_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1517))/\((~(c0_1 (a1517)))/\(~(c3_1 (a1517))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((hskp0)\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp0)\/(hskp25))) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1483))/\((c2_1 (a1483))/\(c3_1 (a1483)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1504))/\((c2_1 (a1504))/\(~(c0_1 (a1504))))))) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H1a4 zenon_He5 zenon_H27f zenon_H3 zenon_Hb7 zenon_H26d zenon_H26f zenon_H26e zenon_Ha9 zenon_Hab zenon_H185 zenon_H15 zenon_H6e zenon_H149 zenon_H145 zenon_H4f zenon_H142 zenon_H12a zenon_H129 zenon_H128 zenon_H56 zenon_H55 zenon_H54 zenon_H101 zenon_Hc6 zenon_H217 zenon_H290 zenon_H299 zenon_H292 zenon_H120 zenon_H124 zenon_H4c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 0.93/1.13 apply (zenon_L513_); trivial.
% 0.93/1.13 apply (zenon_L603_); trivial.
% 0.93/1.13 (* end of lemma zenon_L613_ *)
% 0.93/1.13 assert (zenon_L614_ : (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (ndr1_0) -> (~(c1_1 (a1427))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H5d zenon_Ha zenon_H2b8 zenon_H2b9 zenon_H2ba.
% 0.93/1.13 generalize (zenon_H5d (a1427)). zenon_intro zenon_H2bb.
% 0.93/1.13 apply (zenon_imply_s _ _ zenon_H2bb); [ zenon_intro zenon_H9 | zenon_intro zenon_H2bc ].
% 0.93/1.13 exact (zenon_H9 zenon_Ha).
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2be | zenon_intro zenon_H2bd ].
% 0.93/1.13 exact (zenon_H2b8 zenon_H2be).
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2bf ].
% 0.93/1.13 exact (zenon_H2b9 zenon_H2c0).
% 0.93/1.13 exact (zenon_H2bf zenon_H2ba).
% 0.93/1.13 (* end of lemma zenon_L614_ *)
% 0.93/1.13 assert (zenon_L615_ : (forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))) -> (ndr1_0) -> (c0_1 (a1427)) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H78 zenon_Ha zenon_H2c1 zenon_H5d zenon_H2b9 zenon_H2ba.
% 0.93/1.13 generalize (zenon_H78 (a1427)). zenon_intro zenon_H2c2.
% 0.93/1.13 apply (zenon_imply_s _ _ zenon_H2c2); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c3 ].
% 0.93/1.13 exact (zenon_H9 zenon_Ha).
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H2c4 ].
% 0.93/1.13 exact (zenon_H2c5 zenon_H2c1).
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2bf ].
% 0.93/1.13 apply (zenon_L614_); trivial.
% 0.93/1.13 exact (zenon_H2bf zenon_H2ba).
% 0.93/1.13 (* end of lemma zenon_L615_ *)
% 0.93/1.13 assert (zenon_L616_ : ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(hskp23)) -> False).
% 0.93/1.13 do 0 intro. intros zenon_H121 zenon_H2ba zenon_H2b9 zenon_H5d zenon_H2c1 zenon_Ha zenon_H11c.
% 0.93/1.13 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H105 | zenon_intro zenon_H123 ].
% 0.93/1.13 generalize (zenon_H105 (a1427)). zenon_intro zenon_H2c6.
% 1.00/1.14 apply (zenon_imply_s _ _ zenon_H2c6); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c7 ].
% 1.00/1.14 exact (zenon_H9 zenon_Ha).
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2c4 ].
% 1.00/1.14 exact (zenon_H2b9 zenon_H2c0).
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2bf ].
% 1.00/1.14 apply (zenon_L614_); trivial.
% 1.00/1.14 exact (zenon_H2bf zenon_H2ba).
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H78 | zenon_intro zenon_H11d ].
% 1.00/1.14 apply (zenon_L615_); trivial.
% 1.00/1.14 exact (zenon_H11c zenon_H11d).
% 1.00/1.14 (* end of lemma zenon_L616_ *)
% 1.00/1.14 assert (zenon_L617_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(hskp23)) -> (ndr1_0) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp5)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H68 zenon_H56 zenon_H55 zenon_H54 zenon_H11c zenon_Ha zenon_H2c1 zenon_H2b9 zenon_H2ba zenon_H121 zenon_H15.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H53 | zenon_intro zenon_H6b ].
% 1.00/1.14 apply (zenon_L24_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5d | zenon_intro zenon_H16 ].
% 1.00/1.14 apply (zenon_L616_); trivial.
% 1.00/1.14 exact (zenon_H15 zenon_H16).
% 1.00/1.14 (* end of lemma zenon_L617_ *)
% 1.00/1.14 assert (zenon_L618_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp22)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H169 zenon_H1d6 zenon_H167 zenon_H55 zenon_H56 zenon_H96 zenon_H84 zenon_H99 zenon_H11e zenon_H1c4 zenon_H1c6.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.00/1.14 apply (zenon_L119_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.14 apply (zenon_L76_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.14 apply (zenon_L245_); trivial.
% 1.00/1.14 apply (zenon_L120_); trivial.
% 1.00/1.14 (* end of lemma zenon_L618_ *)
% 1.00/1.14 assert (zenon_L619_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (ndr1_0) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_He6 zenon_Hb7 zenon_Hb5 zenon_H68 zenon_H15 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H56 zenon_H55 zenon_H54 zenon_Ha zenon_H1c6 zenon_H1c4 zenon_H11e zenon_H99 zenon_H84 zenon_H167 zenon_H1d6 zenon_H168.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L617_); trivial.
% 1.00/1.14 apply (zenon_L618_); trivial.
% 1.00/1.14 apply (zenon_L283_); trivial.
% 1.00/1.14 (* end of lemma zenon_L619_ *)
% 1.00/1.14 assert (zenon_L620_ : (forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71)))))) -> (ndr1_0) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H21b zenon_Ha zenon_H2b9 zenon_H2c1 zenon_H2ba.
% 1.00/1.14 generalize (zenon_H21b (a1427)). zenon_intro zenon_H2c8.
% 1.00/1.14 apply (zenon_imply_s _ _ zenon_H2c8); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c9 ].
% 1.00/1.14 exact (zenon_H9 zenon_Ha).
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2ca ].
% 1.00/1.14 exact (zenon_H2b9 zenon_H2c0).
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H2bf ].
% 1.00/1.14 exact (zenon_H2c5 zenon_H2c1).
% 1.00/1.14 exact (zenon_H2bf zenon_H2ba).
% 1.00/1.14 (* end of lemma zenon_L620_ *)
% 1.00/1.14 assert (zenon_L621_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74)))))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H219 zenon_H56 zenon_H55 zenon_H8c zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Ha zenon_H11c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H154 | zenon_intro zenon_H21a ].
% 1.00/1.14 apply (zenon_L82_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H21b | zenon_intro zenon_H11d ].
% 1.00/1.14 apply (zenon_L620_); trivial.
% 1.00/1.14 exact (zenon_H11c zenon_H11d).
% 1.00/1.14 (* end of lemma zenon_L621_ *)
% 1.00/1.14 assert (zenon_L622_ : ((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp23)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(hskp9)) -> (~(hskp22)) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H86 zenon_H177 zenon_H11c zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H84 zenon_H96 zenon_H55 zenon_H56 zenon_H99.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 1.00/1.14 apply (zenon_L621_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 1.00/1.14 apply (zenon_L245_); trivial.
% 1.00/1.14 apply (zenon_L32_); trivial.
% 1.00/1.14 (* end of lemma zenon_L622_ *)
% 1.00/1.14 assert (zenon_L623_ : ((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp23)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp13)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H209 zenon_H285 zenon_H11c zenon_H2c1 zenon_H2b9 zenon_H2ba zenon_H121 zenon_H1c4.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H5d | zenon_intro zenon_H286 ].
% 1.00/1.14 apply (zenon_L616_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1c5 ].
% 1.00/1.14 apply (zenon_L159_); trivial.
% 1.00/1.14 exact (zenon_H1c4 zenon_H1c5).
% 1.00/1.14 (* end of lemma zenon_L623_ *)
% 1.00/1.14 assert (zenon_L624_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(hskp23)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a1468))) -> (c1_1 (a1468)) -> (c3_1 (a1468)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H20e zenon_H285 zenon_H1c4 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H11c zenon_H121 zenon_Ha zenon_H9f zenon_Ha0 zenon_Ha1 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 1.00/1.14 apply (zenon_L171_); trivial.
% 1.00/1.14 apply (zenon_L623_); trivial.
% 1.00/1.14 (* end of lemma zenon_L624_ *)
% 1.00/1.14 assert (zenon_L625_ : ((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(hskp6)) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c0_1 (a1428)) -> (c2_1 (a1428)) -> (c3_1 (a1428)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H209 zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H207 zenon_H55 zenon_H56 zenon_H20a zenon_H1c8 zenon_H1c9 zenon_H1ca.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.14 apply (zenon_L76_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.14 apply (zenon_L364_); trivial.
% 1.00/1.14 apply (zenon_L120_); trivial.
% 1.00/1.14 (* end of lemma zenon_L625_ *)
% 1.00/1.14 assert (zenon_L626_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(c0_1 (a1468))) -> (c1_1 (a1468)) -> (c3_1 (a1468)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H1d1 zenon_H20e zenon_H167 zenon_H55 zenon_H56 zenon_H207 zenon_H20a zenon_H14d zenon_H14c zenon_H14b zenon_H9f zenon_Ha0 zenon_Ha1 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 1.00/1.14 apply (zenon_L171_); trivial.
% 1.00/1.14 apply (zenon_L625_); trivial.
% 1.00/1.14 (* end of lemma zenon_L626_ *)
% 1.00/1.14 assert (zenon_L627_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp15)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H1d6 zenon_H167 zenon_H55 zenon_H56 zenon_H207 zenon_H20a zenon_H11e zenon_H1c6 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1c4 zenon_H285 zenon_H20e.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L624_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.00/1.14 apply (zenon_L119_); trivial.
% 1.00/1.14 apply (zenon_L626_); trivial.
% 1.00/1.14 (* end of lemma zenon_L627_ *)
% 1.00/1.14 assert (zenon_L628_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((hskp30)\/(hskp24)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_He2 zenon_He6 zenon_H207 zenon_H20a zenon_H215 zenon_H121 zenon_H285 zenon_H20e zenon_H9d zenon_H1d6 zenon_H185 zenon_H165 zenon_H11e zenon_H1c4 zenon_H1c6 zenon_H75 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H56 zenon_H55 zenon_H99 zenon_H84 zenon_H177 zenon_H8b zenon_H167 zenon_H168.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 1.00/1.14 apply (zenon_L31_); trivial.
% 1.00/1.14 apply (zenon_L622_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.00/1.14 apply (zenon_L119_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 1.00/1.14 apply (zenon_L621_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 1.00/1.14 apply (zenon_L561_); trivial.
% 1.00/1.14 apply (zenon_L120_); trivial.
% 1.00/1.14 apply (zenon_L618_); trivial.
% 1.00/1.14 apply (zenon_L627_); trivial.
% 1.00/1.14 (* end of lemma zenon_L628_ *)
% 1.00/1.14 assert (zenon_L629_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp20)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(hskp22)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H169 zenon_H167 zenon_H16f zenon_H17c zenon_H17d zenon_H17e zenon_H187 zenon_H165 zenon_H160 zenon_Hab zenon_Ha9 zenon_H96.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.14 apply (zenon_L76_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.14 apply (zenon_L455_); trivial.
% 1.00/1.14 apply (zenon_L80_); trivial.
% 1.00/1.14 (* end of lemma zenon_L629_ *)
% 1.00/1.14 assert (zenon_L630_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H219 zenon_H194 zenon_H18d zenon_H18c zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Ha zenon_H11c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H154 | zenon_intro zenon_H21a ].
% 1.00/1.14 apply (zenon_L143_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H21b | zenon_intro zenon_H11d ].
% 1.00/1.14 apply (zenon_L620_); trivial.
% 1.00/1.14 exact (zenon_H11c zenon_H11d).
% 1.00/1.14 (* end of lemma zenon_L630_ *)
% 1.00/1.14 assert (zenon_L631_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_Ha9 zenon_Hab zenon_H167 zenon_H18c zenon_H18d zenon_H194 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L630_); trivial.
% 1.00/1.14 apply (zenon_L185_); trivial.
% 1.00/1.14 (* end of lemma zenon_L631_ *)
% 1.00/1.14 assert (zenon_L632_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H165 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H168.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L630_); trivial.
% 1.00/1.14 apply (zenon_L164_); trivial.
% 1.00/1.14 apply (zenon_L631_); trivial.
% 1.00/1.14 (* end of lemma zenon_L632_ *)
% 1.00/1.14 assert (zenon_L633_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (ndr1_0) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H19e zenon_H199 zenon_H219 zenon_H168 zenon_H167 zenon_H165 zenon_H160 zenon_Ha9 zenon_Hab zenon_H17c zenon_H17d zenon_H17e zenon_H187 zenon_Ha zenon_H54 zenon_H55 zenon_H56 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H15 zenon_H68 zenon_Hb5 zenon_Hb7 zenon_He6.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L617_); trivial.
% 1.00/1.14 apply (zenon_L629_); trivial.
% 1.00/1.14 apply (zenon_L139_); trivial.
% 1.00/1.14 apply (zenon_L632_); trivial.
% 1.00/1.14 (* end of lemma zenon_L633_ *)
% 1.00/1.14 assert (zenon_L634_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp23)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1438)) -> (~(c0_1 (a1438))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32)))))) -> (~(c1_1 (a1438))) -> (ndr1_0) -> (c0_1 (a1507)) -> (c1_1 (a1507)) -> (c2_1 (a1507)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H177 zenon_H11c zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H56 zenon_H54 zenon_H155 zenon_H55 zenon_Ha zenon_H79 zenon_H7a zenon_H7b.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 1.00/1.14 apply (zenon_L621_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 1.00/1.14 apply (zenon_L77_); trivial.
% 1.00/1.14 apply (zenon_L32_); trivial.
% 1.00/1.14 (* end of lemma zenon_L634_ *)
% 1.00/1.14 assert (zenon_L635_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (~(c1_1 (a1441))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H219 zenon_Hab zenon_Ha9 zenon_H171 zenon_H160 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Ha zenon_H11c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H154 | zenon_intro zenon_H21a ].
% 1.00/1.14 apply (zenon_L85_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H21b | zenon_intro zenon_H11d ].
% 1.00/1.14 apply (zenon_L620_); trivial.
% 1.00/1.14 exact (zenon_H11c zenon_H11d).
% 1.00/1.14 (* end of lemma zenon_L635_ *)
% 1.00/1.14 assert (zenon_L636_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp23)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(hskp22)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp20)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H98 zenon_H187 zenon_H11c zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H160 zenon_Ha9 zenon_Hab zenon_H219 zenon_H96 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H165 zenon_H16f.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 1.00/1.14 apply (zenon_L635_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 1.00/1.14 apply (zenon_L561_); trivial.
% 1.00/1.14 exact (zenon_H16f zenon_H170).
% 1.00/1.14 (* end of lemma zenon_L636_ *)
% 1.00/1.14 assert (zenon_L637_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(hskp23)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H9d zenon_H187 zenon_H16f zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H96 zenon_H165 zenon_H75 zenon_H177 zenon_H54 zenon_H55 zenon_H56 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H11c zenon_H219 zenon_Hab zenon_Ha9 zenon_H160 zenon_H121 zenon_H283 zenon_H8b.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 1.00/1.14 apply (zenon_L31_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.14 apply (zenon_L634_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.14 apply (zenon_L635_); trivial.
% 1.00/1.14 apply (zenon_L616_); trivial.
% 1.00/1.14 apply (zenon_L636_); trivial.
% 1.00/1.14 (* end of lemma zenon_L637_ *)
% 1.00/1.14 assert (zenon_L638_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H168 zenon_H167 zenon_H17c zenon_H17d zenon_H17e zenon_H8b zenon_H283 zenon_H121 zenon_H160 zenon_Ha9 zenon_Hab zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H56 zenon_H55 zenon_H54 zenon_H177 zenon_H75 zenon_H165 zenon_H96 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H16f zenon_H187 zenon_H9d.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L637_); trivial.
% 1.00/1.14 apply (zenon_L629_); trivial.
% 1.00/1.14 (* end of lemma zenon_L638_ *)
% 1.00/1.14 assert (zenon_L639_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_H187 zenon_H16f zenon_Hab zenon_Ha9 zenon_H160 zenon_H20a zenon_H207 zenon_H167 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1c4 zenon_H285 zenon_H20e.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L624_); trivial.
% 1.00/1.14 apply (zenon_L176_); trivial.
% 1.00/1.14 (* end of lemma zenon_L639_ *)
% 1.00/1.14 assert (zenon_L640_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_He2 zenon_H19e zenon_H168 zenon_H167 zenon_H17c zenon_H17d zenon_H17e zenon_H8b zenon_H283 zenon_H121 zenon_H160 zenon_Ha9 zenon_Hab zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H56 zenon_H55 zenon_H54 zenon_H177 zenon_H75 zenon_H165 zenon_H187 zenon_H9d zenon_H20e zenon_H285 zenon_H1c4 zenon_H215 zenon_H207 zenon_H20a zenon_H199 zenon_He6.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.14 apply (zenon_L638_); trivial.
% 1.00/1.14 apply (zenon_L639_); trivial.
% 1.00/1.14 apply (zenon_L632_); trivial.
% 1.00/1.14 (* end of lemma zenon_L640_ *)
% 1.00/1.14 assert (zenon_L641_ : ((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp11)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H2cb zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Ha zenon_H1 zenon_Hc8.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cc ].
% 1.00/1.14 apply (zenon_L620_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2 | zenon_intro zenon_Hc9 ].
% 1.00/1.14 exact (zenon_H1 zenon_H2).
% 1.00/1.14 exact (zenon_Hc8 zenon_Hc9).
% 1.00/1.14 (* end of lemma zenon_L641_ *)
% 1.00/1.14 assert (zenon_L642_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/((hskp5)\/(hskp17))) -> (ndr1_0) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(hskp11)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H72 zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H15 zenon_H19 zenon_Ha zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_Hc8 zenon_H2cb.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.14 apply (zenon_L641_); trivial.
% 1.00/1.14 apply (zenon_L212_); trivial.
% 1.00/1.14 (* end of lemma zenon_L642_ *)
% 1.00/1.14 assert (zenon_L643_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/((hskp5)\/(hskp17))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H1a2 zenon_H1a3 zenon_Hfa zenon_H2cb zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H19 zenon_H15 zenon_H5 zenon_H25 zenon_H28 zenon_H2c zenon_H72.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.00/1.14 apply (zenon_L642_); trivial.
% 1.00/1.14 apply (zenon_L101_); trivial.
% 1.00/1.14 (* end of lemma zenon_L643_ *)
% 1.00/1.14 assert (zenon_L644_ : ((ndr1_0)/\((c3_1 (a1438))/\((~(c0_1 (a1438)))/\(~(c1_1 (a1438)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/((hskp5)\/(hskp17))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H25e zenon_H1a7 zenon_H1a8 zenon_H1a3 zenon_Hfa zenon_H2cb zenon_H1a4 zenon_H283 zenon_H187 zenon_H199 zenon_H19e zenon_He6 zenon_Hb7 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H1c6 zenon_H99 zenon_H167 zenon_H1d6 zenon_H168 zenon_H8b zenon_H177 zenon_H219 zenon_H75 zenon_H165 zenon_H185 zenon_H9d zenon_H20e zenon_H285 zenon_H215 zenon_H20a zenon_H207 zenon_He5 zenon_H142 zenon_H1ea zenon_H6c zenon_H68 zenon_H15 zenon_H51 zenon_H19 zenon_H5 zenon_H25 zenon_H28 zenon_H2c zenon_H72.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.14 apply (zenon_L27_); trivial.
% 1.00/1.14 apply (zenon_L212_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.14 apply (zenon_L619_); trivial.
% 1.00/1.14 apply (zenon_L628_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.14 apply (zenon_L633_); trivial.
% 1.00/1.14 apply (zenon_L640_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L617_); trivial.
% 1.00/1.14 apply (zenon_L153_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L617_); trivial.
% 1.00/1.14 apply (zenon_L191_); trivial.
% 1.00/1.14 apply (zenon_L632_); trivial.
% 1.00/1.14 apply (zenon_L26_); trivial.
% 1.00/1.14 apply (zenon_L643_); trivial.
% 1.00/1.14 (* end of lemma zenon_L644_ *)
% 1.00/1.14 assert (zenon_L645_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp23)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c3_1 (a1448)) -> (~(c2_1 (a1448))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1448)) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H285 zenon_H11c zenon_H2c1 zenon_H2b9 zenon_H2ba zenon_H121 zenon_He zenon_Hc zenon_H171 zenon_Hd zenon_Ha zenon_H1c4.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H5d | zenon_intro zenon_H286 ].
% 1.00/1.14 apply (zenon_L616_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1c5 ].
% 1.00/1.14 apply (zenon_L265_); trivial.
% 1.00/1.14 exact (zenon_H1c4 zenon_H1c5).
% 1.00/1.14 (* end of lemma zenon_L645_ *)
% 1.00/1.14 assert (zenon_L646_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp22)) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(hskp23)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1448)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H9d zenon_H165 zenon_H96 zenon_H75 zenon_H177 zenon_H54 zenon_H55 zenon_H56 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H11c zenon_H219 zenon_H285 zenon_H1c4 zenon_He zenon_Hc zenon_Hd zenon_H121 zenon_H283 zenon_H8b.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 1.00/1.14 apply (zenon_L31_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.14 apply (zenon_L634_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.14 apply (zenon_L645_); trivial.
% 1.00/1.14 apply (zenon_L616_); trivial.
% 1.00/1.14 apply (zenon_L127_); trivial.
% 1.00/1.14 (* end of lemma zenon_L646_ *)
% 1.00/1.14 assert (zenon_L647_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(hskp22)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H1d1 zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H96 zenon_Hc zenon_Hd zenon_He zenon_H55 zenon_H56 zenon_H165.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.14 apply (zenon_L76_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.14 apply (zenon_L132_); trivial.
% 1.00/1.14 apply (zenon_L120_); trivial.
% 1.00/1.14 (* end of lemma zenon_L647_ *)
% 1.00/1.14 assert (zenon_L648_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp15)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H168 zenon_H1d6 zenon_H167 zenon_H11e zenon_H1c6 zenon_H8b zenon_H283 zenon_H121 zenon_Hd zenon_Hc zenon_He zenon_H1c4 zenon_H285 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H56 zenon_H55 zenon_H54 zenon_H177 zenon_H75 zenon_H96 zenon_H165 zenon_H9d.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L646_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.00/1.14 apply (zenon_L119_); trivial.
% 1.00/1.14 apply (zenon_L647_); trivial.
% 1.00/1.14 (* end of lemma zenon_L648_ *)
% 1.00/1.14 assert (zenon_L649_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp15)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H168 zenon_H1d6 zenon_H167 zenon_H11e zenon_H1c6 zenon_H8b zenon_H283 zenon_H121 zenon_Hd zenon_Hc zenon_He zenon_H1c4 zenon_H285 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H56 zenon_H55 zenon_H54 zenon_H177 zenon_H75 zenon_H165 zenon_H9d zenon_H1c0 zenon_He6.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.14 apply (zenon_L648_); trivial.
% 1.00/1.14 apply (zenon_L113_); trivial.
% 1.00/1.14 apply (zenon_L12_); trivial.
% 1.00/1.14 (* end of lemma zenon_L649_ *)
% 1.00/1.14 assert (zenon_L650_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1448)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H4d zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_He6 zenon_H1c0 zenon_H9d zenon_H165 zenon_H75 zenon_H177 zenon_H54 zenon_H55 zenon_H56 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H285 zenon_H1c4 zenon_He zenon_Hc zenon_Hd zenon_H121 zenon_H283 zenon_H8b zenon_H1c6 zenon_H167 zenon_H1d6 zenon_H168 zenon_H5 zenon_H25 zenon_H28 zenon_H2c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.14 apply (zenon_L649_); trivial.
% 1.00/1.14 apply (zenon_L251_); trivial.
% 1.00/1.14 (* end of lemma zenon_L650_ *)
% 1.00/1.14 assert (zenon_L651_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(hskp23)) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H8b zenon_H283 zenon_H121 zenon_H229 zenon_H228 zenon_H227 zenon_H219 zenon_H11c zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H56 zenon_H55 zenon_H54 zenon_H177 zenon_H73 zenon_H75.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 1.00/1.14 apply (zenon_L31_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.14 apply (zenon_L634_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.14 apply (zenon_L202_); trivial.
% 1.00/1.14 apply (zenon_L616_); trivial.
% 1.00/1.14 (* end of lemma zenon_L651_ *)
% 1.00/1.14 assert (zenon_L652_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(hskp23)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H9d zenon_H187 zenon_H16f zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H96 zenon_H165 zenon_H160 zenon_Ha9 zenon_Hab zenon_H75 zenon_H177 zenon_H54 zenon_H55 zenon_H56 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H11c zenon_H219 zenon_H227 zenon_H228 zenon_H229 zenon_H121 zenon_H283 zenon_H8b.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.00/1.14 apply (zenon_L651_); trivial.
% 1.00/1.14 apply (zenon_L636_); trivial.
% 1.00/1.14 (* end of lemma zenon_L652_ *)
% 1.00/1.14 assert (zenon_L653_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp22)) -> (ndr1_0) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> (~(c1_1 (a1438))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp20)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H96 zenon_Ha zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H55 zenon_H154 zenon_H56 zenon_H165 zenon_H16f.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 1.00/1.14 apply (zenon_L85_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H8c | zenon_intro zenon_H166 ].
% 1.00/1.14 apply (zenon_L82_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb | zenon_intro zenon_H97 ].
% 1.00/1.14 apply (zenon_L166_); trivial.
% 1.00/1.14 exact (zenon_H96 zenon_H97).
% 1.00/1.14 exact (zenon_H16f zenon_H170).
% 1.00/1.14 (* end of lemma zenon_L653_ *)
% 1.00/1.14 assert (zenon_L654_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(hskp20)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp22)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H1d1 zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H16f zenon_H165 zenon_H56 zenon_H55 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H96 zenon_H160 zenon_Ha9 zenon_Hab zenon_H187.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.14 apply (zenon_L76_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.14 apply (zenon_L653_); trivial.
% 1.00/1.14 apply (zenon_L120_); trivial.
% 1.00/1.14 (* end of lemma zenon_L654_ *)
% 1.00/1.14 assert (zenon_L655_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H169 zenon_H1d6 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H96 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H56 zenon_H55 zenon_H16f zenon_H187 zenon_H11e zenon_H1c4 zenon_H1c6.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.00/1.14 apply (zenon_L119_); trivial.
% 1.00/1.14 apply (zenon_L654_); trivial.
% 1.00/1.14 (* end of lemma zenon_L655_ *)
% 1.00/1.14 assert (zenon_L656_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Hb zenon_Ha zenon_H16f.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 1.00/1.14 apply (zenon_L202_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 1.00/1.14 apply (zenon_L166_); trivial.
% 1.00/1.14 exact (zenon_H16f zenon_H170).
% 1.00/1.14 (* end of lemma zenon_L656_ *)
% 1.00/1.14 assert (zenon_L657_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp20)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H169 zenon_H199 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H16f.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.00/1.14 apply (zenon_L76_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.00/1.14 apply (zenon_L41_); trivial.
% 1.00/1.14 apply (zenon_L656_); trivial.
% 1.00/1.14 (* end of lemma zenon_L657_ *)
% 1.00/1.14 assert (zenon_L658_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_H227 zenon_H228 zenon_H229 zenon_H16f zenon_H187 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1c4 zenon_H285 zenon_H20e.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L624_); trivial.
% 1.00/1.14 apply (zenon_L657_); trivial.
% 1.00/1.14 (* end of lemma zenon_L658_ *)
% 1.00/1.14 assert (zenon_L659_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_He2 zenon_H19e zenon_H168 zenon_H1d6 zenon_H167 zenon_H11e zenon_H1c4 zenon_H1c6 zenon_H8b zenon_H283 zenon_H121 zenon_H229 zenon_H228 zenon_H227 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H56 zenon_H55 zenon_H54 zenon_H177 zenon_H75 zenon_Hab zenon_Ha9 zenon_H160 zenon_H165 zenon_H187 zenon_H9d zenon_H20e zenon_H285 zenon_H215 zenon_H199 zenon_He6.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L652_); trivial.
% 1.00/1.14 apply (zenon_L655_); trivial.
% 1.00/1.14 apply (zenon_L658_); trivial.
% 1.00/1.14 apply (zenon_L632_); trivial.
% 1.00/1.14 (* end of lemma zenon_L659_ *)
% 1.00/1.14 assert (zenon_L660_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H19f zenon_H19e zenon_He6 zenon_H199 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H165 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H168 zenon_H227 zenon_H228 zenon_H229 zenon_H187.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.14 apply (zenon_L250_); trivial.
% 1.00/1.14 apply (zenon_L632_); trivial.
% 1.00/1.14 (* end of lemma zenon_L660_ *)
% 1.00/1.14 assert (zenon_L661_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (ndr1_0) -> (~(hskp21)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H2cd zenon_H229 zenon_H228 zenon_H227 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Ha zenon_H82.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H171 | zenon_intro zenon_H2ce ].
% 1.00/1.14 apply (zenon_L202_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H21b | zenon_intro zenon_H83 ].
% 1.00/1.14 apply (zenon_L620_); trivial.
% 1.00/1.14 exact (zenon_H82 zenon_H83).
% 1.00/1.14 (* end of lemma zenon_L661_ *)
% 1.00/1.14 assert (zenon_L662_ : ((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(hskp17)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_Hca zenon_H2cf zenon_H12a zenon_H129 zenon_H128 zenon_H17.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Ha. zenon_intro zenon_Hcc.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hbe. zenon_intro zenon_Hcd.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H2d0 ].
% 1.00/1.14 apply (zenon_L70_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_Hbc | zenon_intro zenon_H18 ].
% 1.00/1.14 apply (zenon_L47_); trivial.
% 1.00/1.14 exact (zenon_H17 zenon_H18).
% 1.00/1.14 (* end of lemma zenon_L662_ *)
% 1.00/1.14 assert (zenon_L663_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (ndr1_0) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_He7 zenon_H2cf zenon_H17 zenon_H12a zenon_H129 zenon_H128 zenon_Ha zenon_H227 zenon_H228 zenon_H229 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H2cd.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 1.00/1.14 apply (zenon_L661_); trivial.
% 1.00/1.14 apply (zenon_L662_); trivial.
% 1.00/1.14 (* end of lemma zenon_L663_ *)
% 1.00/1.14 assert (zenon_L664_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H1a2 zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H2cd zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H229 zenon_H228 zenon_H227 zenon_H2cf zenon_He7.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.00/1.14 apply (zenon_L663_); trivial.
% 1.00/1.14 apply (zenon_L12_); trivial.
% 1.00/1.14 (* end of lemma zenon_L664_ *)
% 1.00/1.14 assert (zenon_L665_ : ((ndr1_0)/\((c3_1 (a1438))/\((~(c0_1 (a1438)))/\(~(c1_1 (a1438)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H25e zenon_H1a7 zenon_H1a8 zenon_H2cd zenon_H2cf zenon_He7 zenon_Hb7 zenon_H99 zenon_H199 zenon_H215 zenon_H20e zenon_He5 zenon_H6c zenon_H68 zenon_H15 zenon_H51 zenon_H1a4 zenon_H19e zenon_H1e8 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_He6 zenon_H1c0 zenon_H9d zenon_H165 zenon_H75 zenon_H177 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H285 zenon_H121 zenon_H283 zenon_H8b zenon_H1c6 zenon_H167 zenon_H1d6 zenon_H168 zenon_H5 zenon_H25 zenon_H28 zenon_H2c zenon_H142 zenon_H1ea zenon_H72.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.14 apply (zenon_L27_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.14 apply (zenon_L650_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.14 apply (zenon_L253_); trivial.
% 1.00/1.14 apply (zenon_L26_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.14 apply (zenon_L619_); trivial.
% 1.00/1.14 apply (zenon_L659_); trivial.
% 1.00/1.14 apply (zenon_L660_); trivial.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.14 apply (zenon_L205_); trivial.
% 1.00/1.14 apply (zenon_L632_); trivial.
% 1.00/1.14 apply (zenon_L26_); trivial.
% 1.00/1.14 apply (zenon_L664_); trivial.
% 1.00/1.14 (* end of lemma zenon_L665_ *)
% 1.00/1.14 assert (zenon_L666_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp8)) -> (~(c3_1 (a1449))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp22)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H177 zenon_H4d zenon_H1d7 zenon_H1e8 zenon_H96 zenon_Hc zenon_Hd zenon_He zenon_H55 zenon_H56 zenon_H165 zenon_Ha zenon_H31 zenon_H1d8 zenon_H1d9.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 1.00/1.14 apply (zenon_L244_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 1.00/1.14 apply (zenon_L132_); trivial.
% 1.00/1.14 apply (zenon_L246_); trivial.
% 1.00/1.14 (* end of lemma zenon_L666_ *)
% 1.00/1.14 assert (zenon_L667_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp8)) -> (~(c3_1 (a1449))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp22)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (ndr1_0) -> (c0_1 (a1427)) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H177 zenon_H4d zenon_H1d7 zenon_H131 zenon_H1d9 zenon_H1d8 zenon_H1e8 zenon_H96 zenon_Hc zenon_Hd zenon_He zenon_H55 zenon_H56 zenon_H165 zenon_Ha zenon_H2c1 zenon_H5d zenon_H2b9 zenon_H2ba.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 1.00/1.14 apply (zenon_L131_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 1.00/1.14 apply (zenon_L132_); trivial.
% 1.00/1.14 apply (zenon_L615_); trivial.
% 1.00/1.14 (* end of lemma zenon_L667_ *)
% 1.00/1.14 assert (zenon_L668_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (c0_1 (a1427)) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (ndr1_0) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(hskp22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c3_1 (a1449))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp14)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H142 zenon_H2ba zenon_H2b9 zenon_H5d zenon_H2c1 zenon_H1d9 zenon_H1d8 zenon_Ha zenon_H165 zenon_H56 zenon_H55 zenon_He zenon_Hd zenon_Hc zenon_H96 zenon_H1e8 zenon_H1d7 zenon_H4d zenon_H177 zenon_H4f.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 1.00/1.14 apply (zenon_L667_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 1.00/1.14 apply (zenon_L666_); trivial.
% 1.00/1.14 exact (zenon_H4f zenon_H50).
% 1.00/1.14 (* end of lemma zenon_L668_ *)
% 1.00/1.14 assert (zenon_L669_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (ndr1_0) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_H4f zenon_H142 zenon_H1e8 zenon_H4d zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H56 zenon_H55 zenon_Ha zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H177 zenon_H1c0 zenon_He6.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 1.00/1.14 apply (zenon_L666_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 1.00/1.14 apply (zenon_L668_); trivial.
% 1.00/1.14 apply (zenon_L104_); trivial.
% 1.00/1.14 apply (zenon_L113_); trivial.
% 1.00/1.14 apply (zenon_L12_); trivial.
% 1.00/1.14 (* end of lemma zenon_L669_ *)
% 1.00/1.14 assert (zenon_L670_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H1eb zenon_H6c zenon_H99 zenon_H84 zenon_He6 zenon_H1c0 zenon_H177 zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H55 zenon_H56 zenon_H4d zenon_H1e8 zenon_H142 zenon_H2c1 zenon_H2b9 zenon_H2ba zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H5 zenon_H25 zenon_H28 zenon_H2c.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.14 apply (zenon_L669_); trivial.
% 1.00/1.14 apply (zenon_L248_); trivial.
% 1.00/1.14 (* end of lemma zenon_L670_ *)
% 1.00/1.14 assert (zenon_L671_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp18)) -> (ndr1_0) -> (~(c0_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> (~(hskp1)) -> (~(hskp2)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H28 zenon_Hb5 zenon_Ha zenon_He9 zenon_Hea zenon_Heb zenon_H1ad zenon_H1ae zenon_H1af zenon_H28b zenon_H5 zenon_H25.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H1b | zenon_intro zenon_H2b ].
% 1.00/1.14 apply (zenon_L405_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H6 | zenon_intro zenon_H26 ].
% 1.00/1.14 exact (zenon_H5 zenon_H6).
% 1.00/1.14 exact (zenon_H25 zenon_H26).
% 1.00/1.14 (* end of lemma zenon_L671_ *)
% 1.00/1.14 assert (zenon_L672_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_He2 zenon_He6 zenon_H9d zenon_H215 zenon_H75 zenon_H20a zenon_H207 zenon_H177 zenon_H8b zenon_H20e zenon_H1e8 zenon_H4d zenon_H17e zenon_H17d zenon_H17c zenon_H56 zenon_H55 zenon_H84 zenon_H99.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.14 apply (zenon_L241_); trivial.
% 1.00/1.14 apply (zenon_L367_); trivial.
% 1.00/1.14 (* end of lemma zenon_L672_ *)
% 1.00/1.14 assert (zenon_L673_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))) -> (c3_1 (a1448)) -> (~(c2_1 (a1448))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1448)) -> (ndr1_0) -> (~(hskp13)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H285 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_H78 zenon_He zenon_Hc zenon_H171 zenon_Hd zenon_Ha zenon_H1c4.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H5d | zenon_intro zenon_H286 ].
% 1.00/1.14 apply (zenon_L615_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1c5 ].
% 1.00/1.14 apply (zenon_L265_); trivial.
% 1.00/1.14 exact (zenon_H1c4 zenon_H1c5).
% 1.00/1.14 (* end of lemma zenon_L673_ *)
% 1.00/1.14 assert (zenon_L674_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp13)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(hskp22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H187 zenon_H1c4 zenon_Hd zenon_Hc zenon_He zenon_H2c1 zenon_H2b9 zenon_H2ba zenon_H285 zenon_H165 zenon_H56 zenon_H55 zenon_H96 zenon_H1e8 zenon_H4d zenon_H177 zenon_H17e zenon_H17d zenon_H17c zenon_Ha zenon_H16f.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 1.00/1.14 apply (zenon_L240_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 1.00/1.14 apply (zenon_L132_); trivial.
% 1.00/1.14 apply (zenon_L673_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 1.00/1.14 apply (zenon_L87_); trivial.
% 1.00/1.14 exact (zenon_H16f zenon_H170).
% 1.00/1.14 (* end of lemma zenon_L674_ *)
% 1.00/1.14 assert (zenon_L675_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> False).
% 1.00/1.14 do 0 intro. intros zenon_H169 zenon_H199 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_Hc zenon_Hd zenon_He.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.00/1.14 apply (zenon_L76_); trivial.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.00/1.14 apply (zenon_L41_); trivial.
% 1.00/1.14 apply (zenon_L6_); trivial.
% 1.00/1.14 (* end of lemma zenon_L675_ *)
% 1.00/1.14 assert (zenon_L676_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_He zenon_Hd zenon_Hc zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1c4 zenon_H285 zenon_H20e.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.14 apply (zenon_L624_); trivial.
% 1.00/1.14 apply (zenon_L675_); trivial.
% 1.00/1.14 (* end of lemma zenon_L676_ *)
% 1.00/1.14 assert (zenon_L677_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.14 do 0 intro. intros zenon_He2 zenon_H19e zenon_H187 zenon_H1e8 zenon_H4d zenon_H17e zenon_H17d zenon_H17c zenon_H56 zenon_H55 zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H285 zenon_H1c4 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_H177 zenon_H20e zenon_H121 zenon_H215 zenon_H199 zenon_H168 zenon_He6.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.14 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.14 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.14 apply (zenon_L674_); trivial.
% 1.00/1.14 apply (zenon_L676_); trivial.
% 1.00/1.14 apply (zenon_L221_); trivial.
% 1.00/1.14 (* end of lemma zenon_L677_ *)
% 1.00/1.14 assert (zenon_L678_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_He zenon_Hd zenon_Hc zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H207 zenon_H20a zenon_H20e zenon_H9d.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L173_); trivial.
% 1.00/1.15 apply (zenon_L675_); trivial.
% 1.00/1.15 (* end of lemma zenon_L678_ *)
% 1.00/1.15 assert (zenon_L679_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_He2 zenon_He6 zenon_H168 zenon_H199 zenon_H8b zenon_H121 zenon_H75 zenon_H215 zenon_H207 zenon_H20a zenon_H20e zenon_H9d zenon_H177 zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H55 zenon_H56 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H4d zenon_H1e8 zenon_H5e zenon_H5f zenon_H60 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 1.00/1.15 apply (zenon_L666_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 1.00/1.15 apply (zenon_L25_); trivial.
% 1.00/1.15 apply (zenon_L104_); trivial.
% 1.00/1.15 apply (zenon_L678_); trivial.
% 1.00/1.15 (* end of lemma zenon_L679_ *)
% 1.00/1.15 assert (zenon_L680_ : ((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c0_1 (a1438))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_Hfc zenon_H72 zenon_H142 zenon_H2c zenon_H283 zenon_H54 zenon_H1c0 zenon_H199 zenon_H187 zenon_H19e zenon_H1a4 zenon_H1e8 zenon_H4d zenon_H28 zenon_H25 zenon_H5 zenon_H1ad zenon_H1ae zenon_H1af zenon_H28b zenon_H168 zenon_H167 zenon_H8b zenon_H177 zenon_H84 zenon_H99 zenon_H55 zenon_H56 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H75 zenon_H1c6 zenon_H165 zenon_H185 zenon_H1d6 zenon_H9d zenon_H20e zenon_H285 zenon_H121 zenon_H215 zenon_H20a zenon_H207 zenon_He6 zenon_He5 zenon_H51 zenon_H1ba zenon_H6c zenon_H1ea.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.15 apply (zenon_L671_); trivial.
% 1.00/1.15 apply (zenon_L628_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.15 apply (zenon_L671_); trivial.
% 1.00/1.15 apply (zenon_L672_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.15 apply (zenon_L23_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.15 apply (zenon_L671_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.15 apply (zenon_L247_); trivial.
% 1.00/1.15 apply (zenon_L372_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.15 apply (zenon_L649_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.15 apply (zenon_L671_); trivial.
% 1.00/1.15 apply (zenon_L677_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.15 apply (zenon_L669_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.15 apply (zenon_L671_); trivial.
% 1.00/1.15 apply (zenon_L679_); trivial.
% 1.00/1.15 (* end of lemma zenon_L680_ *)
% 1.00/1.15 assert (zenon_L681_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H145 zenon_H56 zenon_H55 zenon_H54 zenon_H12a zenon_H129 zenon_H128 zenon_H121 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_Ha zenon_H11c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 1.00/1.15 apply (zenon_L24_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 1.00/1.15 apply (zenon_L70_); trivial.
% 1.00/1.15 apply (zenon_L616_); trivial.
% 1.00/1.15 (* end of lemma zenon_L681_ *)
% 1.00/1.15 assert (zenon_L682_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_He zenon_Hd zenon_Hc zenon_H54 zenon_H55 zenon_H56 zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H145.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L681_); trivial.
% 1.00/1.15 apply (zenon_L675_); trivial.
% 1.00/1.15 (* end of lemma zenon_L682_ *)
% 1.00/1.15 assert (zenon_L683_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c0_1 (a1438))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (ndr1_0) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(hskp22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c3_1 (a1449))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp14)) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H145 zenon_H54 zenon_H12a zenon_H129 zenon_H128 zenon_H142 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_H1d9 zenon_H1d8 zenon_Ha zenon_H165 zenon_H56 zenon_H55 zenon_He zenon_Hd zenon_Hc zenon_H96 zenon_H1e8 zenon_H1d7 zenon_H4d zenon_H177 zenon_H4f.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 1.00/1.15 apply (zenon_L24_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 1.00/1.15 apply (zenon_L70_); trivial.
% 1.00/1.15 apply (zenon_L668_); trivial.
% 1.00/1.15 (* end of lemma zenon_L683_ *)
% 1.00/1.15 assert (zenon_L684_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(hskp23)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H1ba zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H11c zenon_H2c1 zenon_H2b9 zenon_H2ba zenon_H121 zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 1.00/1.15 apply (zenon_L318_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 1.00/1.15 apply (zenon_L616_); trivial.
% 1.00/1.15 apply (zenon_L104_); trivial.
% 1.00/1.15 (* end of lemma zenon_L684_ *)
% 1.00/1.15 assert (zenon_L685_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H168 zenon_H167 zenon_H96 zenon_H165 zenon_H187 zenon_H16f zenon_Hab zenon_Ha9 zenon_H160 zenon_H4f zenon_H142 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L684_); trivial.
% 1.00/1.15 apply (zenon_L153_); trivial.
% 1.00/1.15 (* end of lemma zenon_L685_ *)
% 1.00/1.15 assert (zenon_L686_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_Ha9 zenon_Hab zenon_Hb5 zenon_Hb7 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L684_); trivial.
% 1.00/1.15 apply (zenon_L163_); trivial.
% 1.00/1.15 (* end of lemma zenon_L686_ *)
% 1.00/1.15 assert (zenon_L687_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_He6 zenon_H199 zenon_Hb5 zenon_Hb7 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H142 zenon_H4f zenon_H160 zenon_Ha9 zenon_Hab zenon_H16f zenon_H187 zenon_H165 zenon_H167 zenon_H168.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.15 apply (zenon_L685_); trivial.
% 1.00/1.15 apply (zenon_L686_); trivial.
% 1.00/1.15 (* end of lemma zenon_L687_ *)
% 1.00/1.15 assert (zenon_L688_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H19e zenon_H219 zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H4f zenon_H142 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_Hb7 zenon_Hb5 zenon_H199 zenon_He6.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.15 apply (zenon_L687_); trivial.
% 1.00/1.15 apply (zenon_L632_); trivial.
% 1.00/1.15 (* end of lemma zenon_L688_ *)
% 1.00/1.15 assert (zenon_L689_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_H142 zenon_H4f zenon_H160 zenon_Ha9 zenon_Hab zenon_H16f zenon_H187 zenon_H167 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H207 zenon_H20a zenon_H20e zenon_H9d.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L173_); trivial.
% 1.00/1.15 apply (zenon_L191_); trivial.
% 1.00/1.15 (* end of lemma zenon_L689_ *)
% 1.00/1.15 assert (zenon_L690_ : ((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H86 zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H194 zenon_H18d zenon_H18c.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H88.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H79. zenon_intro zenon_H89.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7a. zenon_intro zenon_H7b.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.15 apply (zenon_L76_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.15 apply (zenon_L143_); trivial.
% 1.00/1.15 apply (zenon_L446_); trivial.
% 1.00/1.15 (* end of lemma zenon_L690_ *)
% 1.00/1.15 assert (zenon_L691_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(hskp24)) -> ((hskp30)\/(hskp24)) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H8b zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H194 zenon_H18d zenon_H18c zenon_H14d zenon_H14c zenon_H14b zenon_H73 zenon_H75.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H76 | zenon_intro zenon_H86 ].
% 1.00/1.15 apply (zenon_L31_); trivial.
% 1.00/1.15 apply (zenon_L690_); trivial.
% 1.00/1.15 (* end of lemma zenon_L691_ *)
% 1.00/1.15 assert (zenon_L692_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1487)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (ndr1_0) -> (c0_1 (a1427)) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H177 zenon_H8f zenon_H8e zenon_H8d zenon_H194 zenon_H18d zenon_H18c zenon_Ha zenon_H2c1 zenon_H5d zenon_H2b9 zenon_H2ba.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 1.00/1.15 apply (zenon_L37_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 1.00/1.15 apply (zenon_L143_); trivial.
% 1.00/1.15 apply (zenon_L615_); trivial.
% 1.00/1.15 (* end of lemma zenon_L692_ *)
% 1.00/1.15 assert (zenon_L693_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H98 zenon_H1ba zenon_H1d9 zenon_H1d8 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_H18c zenon_H18d zenon_H194 zenon_H177 zenon_H1ad zenon_H1ae zenon_H1af.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 1.00/1.15 apply (zenon_L37_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 1.00/1.15 apply (zenon_L143_); trivial.
% 1.00/1.15 apply (zenon_L246_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 1.00/1.15 apply (zenon_L692_); trivial.
% 1.00/1.15 apply (zenon_L104_); trivial.
% 1.00/1.15 (* end of lemma zenon_L693_ *)
% 1.00/1.15 assert (zenon_L694_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H19b zenon_H168 zenon_H9d zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H1d8 zenon_H1d9 zenon_H75 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H8b zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L630_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.00/1.15 apply (zenon_L691_); trivial.
% 1.00/1.15 apply (zenon_L693_); trivial.
% 1.00/1.15 (* end of lemma zenon_L694_ *)
% 1.00/1.15 assert (zenon_L695_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((hskp30)\/(hskp24)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_He2 zenon_H19e zenon_H177 zenon_H219 zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H4f zenon_H142 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H9d zenon_H20e zenon_H20a zenon_H207 zenon_H215 zenon_H75 zenon_H8b zenon_H199 zenon_He6.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.15 apply (zenon_L685_); trivial.
% 1.00/1.15 apply (zenon_L689_); trivial.
% 1.00/1.15 apply (zenon_L694_); trivial.
% 1.00/1.15 (* end of lemma zenon_L695_ *)
% 1.00/1.15 assert (zenon_L696_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((hskp30)\/(hskp24)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_He5 zenon_H177 zenon_H9d zenon_H20e zenon_H20a zenon_H207 zenon_H215 zenon_H75 zenon_H8b zenon_He6 zenon_H199 zenon_Hb7 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H142 zenon_H4f zenon_H160 zenon_Ha9 zenon_Hab zenon_H187 zenon_H165 zenon_H167 zenon_H168 zenon_H219 zenon_H19e.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.15 apply (zenon_L688_); trivial.
% 1.00/1.15 apply (zenon_L695_); trivial.
% 1.00/1.15 (* end of lemma zenon_L696_ *)
% 1.00/1.15 assert (zenon_L697_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (~(c1_1 (a1441))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp9)) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H99 zenon_Hab zenon_Ha9 zenon_Ha8 zenon_H160 zenon_Ha zenon_H96 zenon_H84.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H8c | zenon_intro zenon_H9c ].
% 1.00/1.15 apply (zenon_L79_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H97 | zenon_intro zenon_H85 ].
% 1.00/1.15 exact (zenon_H96 zenon_H97).
% 1.00/1.15 exact (zenon_H84 zenon_H85).
% 1.00/1.15 (* end of lemma zenon_L697_ *)
% 1.00/1.15 assert (zenon_L698_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp22)) -> (~(hskp9)) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H169 zenon_H167 zenon_Hc zenon_Hd zenon_He zenon_H55 zenon_H56 zenon_H165 zenon_H99 zenon_Hab zenon_Ha9 zenon_H160 zenon_H96 zenon_H84.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.15 apply (zenon_L76_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.15 apply (zenon_L132_); trivial.
% 1.00/1.15 apply (zenon_L697_); trivial.
% 1.00/1.15 (* end of lemma zenon_L698_ *)
% 1.00/1.15 assert (zenon_L699_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H168 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H84 zenon_H99 zenon_H55 zenon_H56 zenon_Hc zenon_Hd zenon_He zenon_H96 zenon_H165 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H5e zenon_H5f zenon_H60 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L382_); trivial.
% 1.00/1.15 apply (zenon_L698_); trivial.
% 1.00/1.15 (* end of lemma zenon_L699_ *)
% 1.00/1.15 assert (zenon_L700_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp20)) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(hskp22)) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H169 zenon_H167 zenon_H16f zenon_H56 zenon_H55 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H187 zenon_H165 zenon_H160 zenon_Hab zenon_Ha9 zenon_H96.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.15 apply (zenon_L76_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.15 apply (zenon_L653_); trivial.
% 1.00/1.15 apply (zenon_L80_); trivial.
% 1.00/1.15 (* end of lemma zenon_L700_ *)
% 1.00/1.15 assert (zenon_L701_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((hskp30)\/(hskp24)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_He2 zenon_H19e zenon_H177 zenon_H219 zenon_H168 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H56 zenon_H55 zenon_H187 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H9d zenon_H20e zenon_H20a zenon_H207 zenon_H215 zenon_H75 zenon_H8b zenon_H199 zenon_He6.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L684_); trivial.
% 1.00/1.15 apply (zenon_L700_); trivial.
% 1.00/1.15 apply (zenon_L177_); trivial.
% 1.00/1.15 apply (zenon_L694_); trivial.
% 1.00/1.15 (* end of lemma zenon_L701_ *)
% 1.00/1.15 assert (zenon_L702_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((hskp30)\/(hskp24)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H1eb zenon_H6c zenon_H84 zenon_H99 zenon_H55 zenon_H56 zenon_Hc zenon_Hd zenon_He zenon_H19e zenon_H219 zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H142 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_Hb7 zenon_H199 zenon_He6 zenon_H8b zenon_H75 zenon_H215 zenon_H207 zenon_H20a zenon_H20e zenon_H9d zenon_H177 zenon_He5.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.15 apply (zenon_L696_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.15 apply (zenon_L699_); trivial.
% 1.00/1.15 apply (zenon_L686_); trivial.
% 1.00/1.15 apply (zenon_L701_); trivial.
% 1.00/1.15 (* end of lemma zenon_L702_ *)
% 1.00/1.15 assert (zenon_L703_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> (ndr1_0) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(hskp11)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H72 zenon_H1ea zenon_H6c zenon_H84 zenon_H99 zenon_H142 zenon_H1ba zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H168 zenon_H1d6 zenon_H167 zenon_H1c6 zenon_H8b zenon_H283 zenon_H121 zenon_H285 zenon_H219 zenon_H56 zenon_H55 zenon_H54 zenon_H177 zenon_H75 zenon_H165 zenon_H9d zenon_H1c0 zenon_He6 zenon_H19e zenon_H199 zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_H1d2 zenon_H187 zenon_Hb7 zenon_H20a zenon_H207 zenon_H215 zenon_H20e zenon_He5 zenon_H1a4 zenon_Ha zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_Hc8 zenon_H2cb.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.15 apply (zenon_L641_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.15 apply (zenon_L649_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.15 apply (zenon_L232_); trivial.
% 1.00/1.15 apply (zenon_L139_); trivial.
% 1.00/1.15 apply (zenon_L632_); trivial.
% 1.00/1.15 apply (zenon_L640_); trivial.
% 1.00/1.15 apply (zenon_L702_); trivial.
% 1.00/1.15 (* end of lemma zenon_L703_ *)
% 1.00/1.15 assert (zenon_L704_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H168 zenon_H167 zenon_H8b zenon_H283 zenon_H121 zenon_H160 zenon_Ha9 zenon_Hab zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H56 zenon_H55 zenon_H54 zenon_H177 zenon_H75 zenon_H165 zenon_H96 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H16f zenon_H187 zenon_H9d.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L637_); trivial.
% 1.00/1.15 apply (zenon_L700_); trivial.
% 1.00/1.15 (* end of lemma zenon_L704_ *)
% 1.00/1.15 assert (zenon_L705_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H1d1 zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H194 zenon_H18d zenon_H18c.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.15 apply (zenon_L76_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.15 apply (zenon_L143_); trivial.
% 1.00/1.15 apply (zenon_L120_); trivial.
% 1.00/1.15 (* end of lemma zenon_L705_ *)
% 1.00/1.15 assert (zenon_L706_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H169 zenon_H1d6 zenon_H167 zenon_H194 zenon_H18d zenon_H18c zenon_H11e zenon_H1c4 zenon_H1c6.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.00/1.15 apply (zenon_L119_); trivial.
% 1.00/1.15 apply (zenon_L705_); trivial.
% 1.00/1.15 (* end of lemma zenon_L706_ *)
% 1.00/1.15 assert (zenon_L707_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H19b zenon_H168 zenon_H1d6 zenon_H167 zenon_H11e zenon_H1c4 zenon_H1c6 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L630_); trivial.
% 1.00/1.15 apply (zenon_L706_); trivial.
% 1.00/1.15 (* end of lemma zenon_L707_ *)
% 1.00/1.15 assert (zenon_L708_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c0_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H1a4 zenon_H28 zenon_H25 zenon_H5 zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af zenon_He9 zenon_Hea zenon_Heb zenon_H28b zenon_He6 zenon_H199 zenon_H20a zenon_H207 zenon_H215 zenon_H1c4 zenon_H285 zenon_H20e zenon_H9d zenon_H187 zenon_H165 zenon_H75 zenon_H177 zenon_H54 zenon_H55 zenon_H56 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_Hab zenon_Ha9 zenon_H160 zenon_H121 zenon_H283 zenon_H8b zenon_H167 zenon_H168 zenon_H1c6 zenon_H1d6 zenon_H19e zenon_He5.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.15 apply (zenon_L671_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.15 apply (zenon_L704_); trivial.
% 1.00/1.15 apply (zenon_L639_); trivial.
% 1.00/1.15 apply (zenon_L707_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.15 apply (zenon_L671_); trivial.
% 1.00/1.15 apply (zenon_L640_); trivial.
% 1.00/1.15 (* end of lemma zenon_L708_ *)
% 1.00/1.15 assert (zenon_L709_ : ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp9)) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H87 zenon_H1d9 zenon_H1d8 zenon_H31 zenon_Ha zenon_H82 zenon_H84.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H78 | zenon_intro zenon_H8a ].
% 1.00/1.15 apply (zenon_L246_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H83 | zenon_intro zenon_H85 ].
% 1.00/1.15 exact (zenon_H82 zenon_H83).
% 1.00/1.15 exact (zenon_H84 zenon_H85).
% 1.00/1.15 (* end of lemma zenon_L709_ *)
% 1.00/1.15 assert (zenon_L710_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp9)) -> (~(hskp21)) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H1ba zenon_H84 zenon_H82 zenon_H1d8 zenon_H1d9 zenon_H87 zenon_H60 zenon_H5f zenon_H5e zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 1.00/1.15 apply (zenon_L709_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 1.00/1.15 apply (zenon_L25_); trivial.
% 1.00/1.15 apply (zenon_L104_); trivial.
% 1.00/1.15 (* end of lemma zenon_L710_ *)
% 1.00/1.15 assert (zenon_L711_ : ((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp18)) -> (~(c0_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_Hca zenon_H2d1 zenon_Hb5 zenon_He9 zenon_Hea zenon_Heb zenon_H1ad zenon_H1ae zenon_H1af zenon_H28b zenon_H3e zenon_H3d zenon_H3c.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Ha. zenon_intro zenon_Hcc.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hbe. zenon_intro zenon_Hcd.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d2 ].
% 1.00/1.15 apply (zenon_L405_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbc ].
% 1.00/1.15 apply (zenon_L17_); trivial.
% 1.00/1.15 apply (zenon_L47_); trivial.
% 1.00/1.15 (* end of lemma zenon_L711_ *)
% 1.00/1.15 assert (zenon_L712_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(c0_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> (~(hskp18)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_He7 zenon_H2d1 zenon_H3e zenon_H3d zenon_H3c zenon_He9 zenon_Hea zenon_Heb zenon_Hb5 zenon_H28b zenon_H87 zenon_H84 zenon_H1d9 zenon_H1d8 zenon_Ha zenon_H5e zenon_H5f zenon_H60 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 1.00/1.15 apply (zenon_L710_); trivial.
% 1.00/1.15 apply (zenon_L711_); trivial.
% 1.00/1.15 (* end of lemma zenon_L712_ *)
% 1.00/1.15 assert (zenon_L713_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(hskp21)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H1d1 zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H82 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H160 zenon_Ha9 zenon_Hab zenon_H2cd.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.15 apply (zenon_L76_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H171 | zenon_intro zenon_H2ce ].
% 1.00/1.15 apply (zenon_L85_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H21b | zenon_intro zenon_H83 ].
% 1.00/1.15 apply (zenon_L620_); trivial.
% 1.00/1.15 exact (zenon_H82 zenon_H83).
% 1.00/1.15 apply (zenon_L120_); trivial.
% 1.00/1.15 (* end of lemma zenon_L713_ *)
% 1.00/1.15 assert (zenon_L714_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(hskp21)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H169 zenon_H1d6 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H82 zenon_H2cd zenon_H11e zenon_H1c4 zenon_H1c6.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.00/1.15 apply (zenon_L119_); trivial.
% 1.00/1.15 apply (zenon_L713_); trivial.
% 1.00/1.15 (* end of lemma zenon_L714_ *)
% 1.00/1.15 assert (zenon_L715_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp21)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (ndr1_0) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H168 zenon_H1d6 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H82 zenon_H2cd zenon_H11e zenon_H1c4 zenon_H1c6 zenon_Ha zenon_H54 zenon_H55 zenon_H56 zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H145.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L681_); trivial.
% 1.00/1.15 apply (zenon_L714_); trivial.
% 1.00/1.15 (* end of lemma zenon_L715_ *)
% 1.00/1.15 assert (zenon_L716_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (ndr1_0) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_He7 zenon_H2cf zenon_H17 zenon_H145 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H12a zenon_H129 zenon_H128 zenon_H56 zenon_H55 zenon_H54 zenon_Ha zenon_H1c6 zenon_H1c4 zenon_H11e zenon_H2cd zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H1d6 zenon_H168.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 1.00/1.15 apply (zenon_L715_); trivial.
% 1.00/1.15 apply (zenon_L662_); trivial.
% 1.00/1.15 (* end of lemma zenon_L716_ *)
% 1.00/1.15 assert (zenon_L717_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (ndr1_0) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H168 zenon_H1d6 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H2cd zenon_H11e zenon_H1c4 zenon_H1c6 zenon_Ha zenon_H54 zenon_H55 zenon_H56 zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H145 zenon_H2cf zenon_He7.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.00/1.15 apply (zenon_L716_); trivial.
% 1.00/1.15 apply (zenon_L12_); trivial.
% 1.00/1.15 (* end of lemma zenon_L717_ *)
% 1.00/1.15 assert (zenon_L718_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (ndr1_0) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H168 zenon_H167 zenon_H96 zenon_H165 zenon_H160 zenon_Ha9 zenon_Hab zenon_H17c zenon_H17d zenon_H17e zenon_H16f zenon_H187 zenon_Ha zenon_H54 zenon_H55 zenon_H56 zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H145.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L681_); trivial.
% 1.00/1.15 apply (zenon_L629_); trivial.
% 1.00/1.15 (* end of lemma zenon_L718_ *)
% 1.00/1.15 assert (zenon_L719_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_He6 zenon_Hb7 zenon_Hb5 zenon_H145 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H12a zenon_H129 zenon_H128 zenon_H56 zenon_H55 zenon_H54 zenon_Ha zenon_H187 zenon_H16f zenon_H17e zenon_H17d zenon_H17c zenon_Hab zenon_Ha9 zenon_H160 zenon_H165 zenon_H167 zenon_H168.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.15 apply (zenon_L718_); trivial.
% 1.00/1.15 apply (zenon_L139_); trivial.
% 1.00/1.15 (* end of lemma zenon_L719_ *)
% 1.00/1.15 assert (zenon_L720_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H169 zenon_H9d zenon_H165 zenon_H96 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H18c zenon_H18d zenon_H194 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H8b.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.00/1.15 apply (zenon_L691_); trivial.
% 1.00/1.15 apply (zenon_L127_); trivial.
% 1.00/1.15 (* end of lemma zenon_L720_ *)
% 1.00/1.15 assert (zenon_L721_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (ndr1_0) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H168 zenon_H9d zenon_H165 zenon_H96 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H8b zenon_Ha zenon_H18c zenon_H18d zenon_H194 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L630_); trivial.
% 1.00/1.15 apply (zenon_L720_); trivial.
% 1.00/1.15 (* end of lemma zenon_L721_ *)
% 1.00/1.15 assert (zenon_L722_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_He zenon_Hd zenon_Hc zenon_H18c zenon_H18d zenon_H194 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L630_); trivial.
% 1.00/1.15 apply (zenon_L675_); trivial.
% 1.00/1.15 (* end of lemma zenon_L722_ *)
% 1.00/1.15 assert (zenon_L723_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H8b zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H9d zenon_H168.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.15 apply (zenon_L721_); trivial.
% 1.00/1.15 apply (zenon_L722_); trivial.
% 1.00/1.15 (* end of lemma zenon_L723_ *)
% 1.00/1.15 assert (zenon_L724_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(hskp6)) -> (c0_1 (a1456)) -> (c1_1 (a1456)) -> (c3_1 (a1456)) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H207 zenon_H1fe zenon_H1ff zenon_H200 zenon_H55 zenon_H56 zenon_H20a zenon_Hb zenon_Ha zenon_Ha9 zenon_Hab.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.15 apply (zenon_L76_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.15 apply (zenon_L364_); trivial.
% 1.00/1.15 apply (zenon_L43_); trivial.
% 1.00/1.15 (* end of lemma zenon_L724_ *)
% 1.00/1.15 assert (zenon_L725_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1468))) -> (c1_1 (a1468)) -> (c3_1 (a1468)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H169 zenon_H20e zenon_H199 zenon_H20a zenon_H207 zenon_H56 zenon_H55 zenon_Ha9 zenon_Hab zenon_H167 zenon_H9f zenon_Ha0 zenon_Ha1 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 1.00/1.15 apply (zenon_L171_); trivial.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.00/1.15 apply (zenon_L76_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.00/1.15 apply (zenon_L41_); trivial.
% 1.00/1.15 apply (zenon_L724_); trivial.
% 1.00/1.15 (* end of lemma zenon_L725_ *)
% 1.00/1.15 assert (zenon_L726_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_H20a zenon_H207 zenon_H56 zenon_H55 zenon_Ha9 zenon_Hab zenon_H167 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1c4 zenon_H285 zenon_H20e.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.15 apply (zenon_L624_); trivial.
% 1.00/1.15 apply (zenon_L725_); trivial.
% 1.00/1.15 (* end of lemma zenon_L726_ *)
% 1.00/1.15 assert (zenon_L727_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_He2 zenon_H19e zenon_H219 zenon_H168 zenon_H167 zenon_H165 zenon_H160 zenon_Ha9 zenon_Hab zenon_H17c zenon_H17d zenon_H17e zenon_H187 zenon_H54 zenon_H55 zenon_H56 zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H145 zenon_H20e zenon_H285 zenon_H1c4 zenon_H215 zenon_H207 zenon_H20a zenon_H199 zenon_He6.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.15 apply (zenon_L718_); trivial.
% 1.00/1.15 apply (zenon_L726_); trivial.
% 1.00/1.15 apply (zenon_L632_); trivial.
% 1.00/1.15 (* end of lemma zenon_L727_ *)
% 1.00/1.15 assert (zenon_L728_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H19f zenon_He5 zenon_H20e zenon_H285 zenon_H1c4 zenon_H215 zenon_H207 zenon_H20a zenon_He6 zenon_Hb7 zenon_H145 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H12a zenon_H129 zenon_H128 zenon_H56 zenon_H55 zenon_H54 zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H165 zenon_H167 zenon_H168 zenon_H9d zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H177 zenon_H8b zenon_H219 zenon_H199 zenon_H19e.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.15 apply (zenon_L719_); trivial.
% 1.00/1.15 apply (zenon_L723_); trivial.
% 1.00/1.15 apply (zenon_L727_); trivial.
% 1.00/1.15 (* end of lemma zenon_L728_ *)
% 1.00/1.15 assert (zenon_L729_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((hskp30)\/(hskp24)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_H1eb zenon_H6c zenon_H145 zenon_H12a zenon_H129 zenon_H128 zenon_H56 zenon_H55 zenon_H54 zenon_H19e zenon_H219 zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H142 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_Hb7 zenon_H199 zenon_He6 zenon_H8b zenon_H75 zenon_H215 zenon_H207 zenon_H20a zenon_H20e zenon_H9d zenon_H177 zenon_He5.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.15 apply (zenon_L696_); trivial.
% 1.00/1.15 apply (zenon_L100_); trivial.
% 1.00/1.15 (* end of lemma zenon_L729_ *)
% 1.00/1.15 assert (zenon_L730_ : ((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c0_1 (a1457))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> False).
% 1.00/1.15 do 0 intro. intros zenon_Hca zenon_H2d1 zenon_H1e zenon_H1d zenon_H1c zenon_H3e zenon_H3d zenon_H3c.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Ha. zenon_intro zenon_Hcc.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hbe. zenon_intro zenon_Hcd.
% 1.00/1.15 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d2 ].
% 1.00/1.15 apply (zenon_L10_); trivial.
% 1.00/1.15 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hbc ].
% 1.00/1.15 apply (zenon_L17_); trivial.
% 1.00/1.15 apply (zenon_L47_); trivial.
% 1.00/1.15 (* end of lemma zenon_L730_ *)
% 1.00/1.15 assert (zenon_L731_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (ndr1_0) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H2c zenon_H2d1 zenon_H3e zenon_H3d zenon_H3c zenon_H168 zenon_H1d6 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H2cd zenon_H11e zenon_H1c4 zenon_H1c6 zenon_Ha zenon_H54 zenon_H55 zenon_H56 zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H145 zenon_H2cf zenon_He7.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.00/1.16 apply (zenon_L716_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 1.00/1.16 apply (zenon_L715_); trivial.
% 1.00/1.16 apply (zenon_L730_); trivial.
% 1.00/1.16 (* end of lemma zenon_L731_ *)
% 1.00/1.16 assert (zenon_L732_ : ((ndr1_0)/\((c3_1 (a1438))/\((~(c0_1 (a1438)))/\(~(c1_1 (a1438)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> ((hskp12)\/((hskp10)\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H25e zenon_H1a7 zenon_H2cf zenon_H2cd zenon_H7 zenon_Hb7 zenon_He7 zenon_H2d1 zenon_H87 zenon_H233 zenon_H1a3 zenon_H283 zenon_H199 zenon_H187 zenon_H19e zenon_H28b zenon_H168 zenon_H167 zenon_H8b zenon_H219 zenon_H75 zenon_H185 zenon_H9d zenon_H20e zenon_H285 zenon_H121 zenon_H215 zenon_H20a zenon_H207 zenon_He5 zenon_H51 zenon_H2cb zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H1a4 zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H99 zenon_H1e8 zenon_H1c0 zenon_He6 zenon_H1c6 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1d2 zenon_H1d6 zenon_H1ba zenon_H142 zenon_H165 zenon_H177 zenon_H6c zenon_H1ea zenon_H72 zenon_H145 zenon_Hfa zenon_H1a8.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_L641_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_L243_); trivial.
% 1.00/1.16 apply (zenon_L670_); trivial.
% 1.00/1.16 apply (zenon_L680_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_L116_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.16 apply (zenon_L122_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_L674_); trivial.
% 1.00/1.16 apply (zenon_L682_); trivial.
% 1.00/1.16 apply (zenon_L221_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_L683_); trivial.
% 1.00/1.16 apply (zenon_L682_); trivial.
% 1.00/1.16 apply (zenon_L100_); trivial.
% 1.00/1.16 apply (zenon_L101_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.00/1.16 apply (zenon_L703_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_L4_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_L708_); trivial.
% 1.00/1.16 apply (zenon_L702_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.00/1.16 apply (zenon_L703_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_L708_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.16 apply (zenon_L696_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.16 apply (zenon_L712_); trivial.
% 1.00/1.16 apply (zenon_L701_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_L4_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.16 apply (zenon_L717_); trivial.
% 1.00/1.16 apply (zenon_L728_); trivial.
% 1.00/1.16 apply (zenon_L729_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.16 apply (zenon_L731_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.16 apply (zenon_L719_); trivial.
% 1.00/1.16 apply (zenon_L632_); trivial.
% 1.00/1.16 apply (zenon_L727_); trivial.
% 1.00/1.16 apply (zenon_L729_); trivial.
% 1.00/1.16 (* end of lemma zenon_L732_ *)
% 1.00/1.16 assert (zenon_L733_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(hskp22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (~(c3_1 (a1449))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H1ba zenon_H18c zenon_H18d zenon_H194 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_H165 zenon_H56 zenon_H55 zenon_He zenon_Hd zenon_Hc zenon_H96 zenon_H1e8 zenon_H1d8 zenon_H1d9 zenon_H131 zenon_H1d7 zenon_H4d zenon_H177 zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 1.00/1.16 apply (zenon_L227_); trivial.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 1.00/1.16 apply (zenon_L667_); trivial.
% 1.00/1.16 apply (zenon_L104_); trivial.
% 1.00/1.16 (* end of lemma zenon_L733_ *)
% 1.00/1.16 assert (zenon_L734_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H19b zenon_He6 zenon_H168 zenon_H199 zenon_H219 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H56 zenon_H55 zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H2c1 zenon_H2b9 zenon_H2ba zenon_H177 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H4d zenon_H1e8 zenon_H4f zenon_H142.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H131 | zenon_intro zenon_H143 ].
% 1.00/1.16 apply (zenon_L733_); trivial.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H31 | zenon_intro zenon_H50 ].
% 1.00/1.16 apply (zenon_L227_); trivial.
% 1.00/1.16 exact (zenon_H4f zenon_H50).
% 1.00/1.16 apply (zenon_L722_); trivial.
% 1.00/1.16 (* end of lemma zenon_L734_ *)
% 1.00/1.16 assert (zenon_L735_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H1eb zenon_H6c zenon_H142 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H1e8 zenon_H4d zenon_H177 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H55 zenon_H56 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H219 zenon_H199 zenon_H168 zenon_He6 zenon_H19e.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.16 apply (zenon_L205_); trivial.
% 1.00/1.16 apply (zenon_L734_); trivial.
% 1.00/1.16 apply (zenon_L255_); trivial.
% 1.00/1.16 (* end of lemma zenon_L735_ *)
% 1.00/1.16 assert (zenon_L736_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H6c zenon_H142 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H199 zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H168 zenon_H1d6 zenon_H167 zenon_H1c6 zenon_H8b zenon_H283 zenon_H121 zenon_H285 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H56 zenon_H55 zenon_H54 zenon_H177 zenon_H75 zenon_H165 zenon_H9d zenon_H1c0 zenon_He6 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H4d zenon_H1e8 zenon_H19e zenon_H1a4.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_L650_); trivial.
% 1.00/1.16 apply (zenon_L735_); trivial.
% 1.00/1.16 (* end of lemma zenon_L736_ *)
% 1.00/1.16 assert (zenon_L737_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c0_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> (~(hskp18)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> (ndr1_0) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_He7 zenon_H2d1 zenon_H3e zenon_H3d zenon_H3c zenon_H1ad zenon_H1ae zenon_H1af zenon_He9 zenon_Hea zenon_Heb zenon_Hb5 zenon_H28b zenon_Ha zenon_H227 zenon_H228 zenon_H229 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H2cd.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 1.00/1.16 apply (zenon_L661_); trivial.
% 1.00/1.16 apply (zenon_L711_); trivial.
% 1.00/1.16 (* end of lemma zenon_L737_ *)
% 1.00/1.16 assert (zenon_L738_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (~(hskp22)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp20)) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H98 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H96 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H165 zenon_H16f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 1.00/1.16 apply (zenon_L202_); trivial.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 1.00/1.16 apply (zenon_L561_); trivial.
% 1.00/1.16 exact (zenon_H16f zenon_H170).
% 1.00/1.16 (* end of lemma zenon_L738_ *)
% 1.00/1.16 assert (zenon_L739_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1438)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H283 zenon_H56 zenon_H54 zenon_H55 zenon_H154 zenon_H229 zenon_H228 zenon_H227 zenon_Ha zenon_H5e zenon_H5f zenon_H60.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.16 apply (zenon_L77_); trivial.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.16 apply (zenon_L202_); trivial.
% 1.00/1.16 apply (zenon_L25_); trivial.
% 1.00/1.16 (* end of lemma zenon_L739_ *)
% 1.00/1.16 assert (zenon_L740_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (c3_1 (a1438)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H169 zenon_H1d6 zenon_H167 zenon_H55 zenon_H54 zenon_H56 zenon_H227 zenon_H228 zenon_H229 zenon_H5e zenon_H5f zenon_H60 zenon_H283 zenon_H11e zenon_H1c4 zenon_H1c6.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.00/1.16 apply (zenon_L119_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.16 apply (zenon_L76_); trivial.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.16 apply (zenon_L739_); trivial.
% 1.00/1.16 apply (zenon_L120_); trivial.
% 1.00/1.16 (* end of lemma zenon_L740_ *)
% 1.00/1.16 assert (zenon_L741_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H168 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H84 zenon_H99 zenon_H8b zenon_H283 zenon_H121 zenon_Hd zenon_Hc zenon_He zenon_H1c4 zenon_H285 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H56 zenon_H55 zenon_H54 zenon_H177 zenon_H75 zenon_H96 zenon_H165 zenon_H9d.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.16 apply (zenon_L646_); trivial.
% 1.00/1.16 apply (zenon_L698_); trivial.
% 1.00/1.16 (* end of lemma zenon_L741_ *)
% 1.00/1.16 assert (zenon_L742_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H121 zenon_H1c4 zenon_H285 zenon_H20e zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H8b zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H9d zenon_H168.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_L721_); trivial.
% 1.00/1.16 apply (zenon_L676_); trivial.
% 1.00/1.16 (* end of lemma zenon_L742_ *)
% 1.00/1.16 assert (zenon_L743_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp15)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_He2 zenon_H19e zenon_H199 zenon_H215 zenon_H20e zenon_H168 zenon_H1d6 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H187 zenon_H11e zenon_H1c6 zenon_H8b zenon_H283 zenon_H121 zenon_Hd zenon_Hc zenon_He zenon_H1c4 zenon_H285 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H56 zenon_H55 zenon_H54 zenon_H177 zenon_H75 zenon_H165 zenon_H9d zenon_H17 zenon_H1c0 zenon_He6.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.16 apply (zenon_L646_); trivial.
% 1.00/1.16 apply (zenon_L655_); trivial.
% 1.00/1.16 apply (zenon_L113_); trivial.
% 1.00/1.16 apply (zenon_L742_); trivial.
% 1.00/1.16 (* end of lemma zenon_L743_ *)
% 1.00/1.16 assert (zenon_L744_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H19f zenon_H19e zenon_He6 zenon_H199 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H8b zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H9d zenon_H168 zenon_H227 zenon_H228 zenon_H229 zenon_H187.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.16 apply (zenon_L250_); trivial.
% 1.00/1.16 apply (zenon_L723_); trivial.
% 1.00/1.16 (* end of lemma zenon_L744_ *)
% 1.00/1.16 assert (zenon_L745_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H1a4 zenon_H227 zenon_H228 zenon_H229 zenon_He5 zenon_H19e zenon_H199 zenon_H215 zenon_H20e zenon_H187 zenon_H1c0 zenon_H168 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H84 zenon_H99 zenon_H8b zenon_H283 zenon_H121 zenon_Hd zenon_Hc zenon_He zenon_H1c4 zenon_H285 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H56 zenon_H55 zenon_H54 zenon_H177 zenon_H75 zenon_H165 zenon_H9d zenon_H1c6 zenon_Hb7 zenon_H1d6 zenon_He6 zenon_H5 zenon_H25 zenon_H28 zenon_H2c.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_L741_); trivial.
% 1.00/1.16 apply (zenon_L283_); trivial.
% 1.00/1.16 apply (zenon_L743_); trivial.
% 1.00/1.16 apply (zenon_L12_); trivial.
% 1.00/1.16 apply (zenon_L744_); trivial.
% 1.00/1.16 (* end of lemma zenon_L745_ *)
% 1.00/1.16 assert (zenon_L746_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_H227 zenon_H228 zenon_H229 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H16f zenon_H187 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.16 apply (zenon_L684_); trivial.
% 1.00/1.16 apply (zenon_L657_); trivial.
% 1.00/1.16 (* end of lemma zenon_L746_ *)
% 1.00/1.16 assert (zenon_L747_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_He6 zenon_H199 zenon_H227 zenon_H228 zenon_H229 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H142 zenon_H4f zenon_H160 zenon_Ha9 zenon_Hab zenon_H16f zenon_H187 zenon_H165 zenon_H167 zenon_H168.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_L685_); trivial.
% 1.00/1.16 apply (zenon_L746_); trivial.
% 1.00/1.16 (* end of lemma zenon_L747_ *)
% 1.00/1.16 assert (zenon_L748_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_He5 zenon_H9d zenon_H75 zenon_H177 zenon_H8b zenon_H229 zenon_H228 zenon_H227 zenon_He6 zenon_H199 zenon_Hb7 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H142 zenon_H4f zenon_H160 zenon_Ha9 zenon_Hab zenon_H187 zenon_H165 zenon_H167 zenon_H168 zenon_H219 zenon_H19e.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.16 apply (zenon_L688_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.16 apply (zenon_L747_); trivial.
% 1.00/1.16 apply (zenon_L694_); trivial.
% 1.00/1.16 (* end of lemma zenon_L748_ *)
% 1.00/1.16 assert (zenon_L749_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> (c3_1 (a1438)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(hskp20)) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp9)) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H276 zenon_H56 zenon_H54 zenon_H55 zenon_H154 zenon_H16f zenon_Ha zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H84.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H155 | zenon_intro zenon_H277 ].
% 1.00/1.16 apply (zenon_L77_); trivial.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H131 | zenon_intro zenon_H85 ].
% 1.00/1.16 apply (zenon_L203_); trivial.
% 1.00/1.16 exact (zenon_H84 zenon_H85).
% 1.00/1.16 (* end of lemma zenon_L749_ *)
% 1.00/1.16 assert (zenon_L750_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (~(hskp9)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H168 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H96 zenon_H165 zenon_H55 zenon_H54 zenon_H56 zenon_H187 zenon_H16f zenon_H229 zenon_H228 zenon_H227 zenon_H84 zenon_H276 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H5e zenon_H5f zenon_H60 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.16 apply (zenon_L382_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.16 apply (zenon_L76_); trivial.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.16 apply (zenon_L749_); trivial.
% 1.00/1.16 apply (zenon_L80_); trivial.
% 1.00/1.16 (* end of lemma zenon_L750_ *)
% 1.00/1.16 assert (zenon_L751_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(hskp9)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(hskp20)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H84 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H16f zenon_H55 zenon_H54 zenon_H56 zenon_H276 zenon_Hb zenon_Ha zenon_Ha9 zenon_Hab.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.16 apply (zenon_L76_); trivial.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.16 apply (zenon_L749_); trivial.
% 1.00/1.16 apply (zenon_L43_); trivial.
% 1.00/1.16 (* end of lemma zenon_L751_ *)
% 1.00/1.16 assert (zenon_L752_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1438)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_H276 zenon_H84 zenon_H227 zenon_H228 zenon_H229 zenon_H16f zenon_H187 zenon_H56 zenon_H54 zenon_H55 zenon_Ha9 zenon_Hab zenon_H167 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.16 apply (zenon_L684_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.00/1.16 apply (zenon_L76_); trivial.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.00/1.16 apply (zenon_L41_); trivial.
% 1.00/1.16 apply (zenon_L751_); trivial.
% 1.00/1.16 (* end of lemma zenon_L752_ *)
% 1.00/1.16 assert (zenon_L753_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H6c zenon_H276 zenon_H142 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_He6 zenon_H1d6 zenon_Hb7 zenon_H1c6 zenon_H9d zenon_H165 zenon_H75 zenon_H177 zenon_H54 zenon_H55 zenon_H56 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H285 zenon_H121 zenon_H283 zenon_H8b zenon_H99 zenon_H84 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H168 zenon_H1c0 zenon_H187 zenon_H20e zenon_H215 zenon_H199 zenon_H19e zenon_He5 zenon_H229 zenon_H228 zenon_H227 zenon_H1a4.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_L745_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.16 apply (zenon_L748_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_L750_); trivial.
% 1.00/1.16 apply (zenon_L752_); trivial.
% 1.00/1.16 apply (zenon_L694_); trivial.
% 1.00/1.16 (* end of lemma zenon_L753_ *)
% 1.00/1.16 assert (zenon_L754_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (~(hskp9)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(c1_1 (a1451))) -> (~(c3_1 (a1451))) -> (c2_1 (a1451)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_He2 zenon_H19e zenon_H9d zenon_H75 zenon_H177 zenon_H8b zenon_H219 zenon_H168 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H55 zenon_H54 zenon_H56 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H84 zenon_H276 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H5e zenon_H5f zenon_H60 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H199 zenon_He6.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_L750_); trivial.
% 1.00/1.16 apply (zenon_L746_); trivial.
% 1.00/1.16 apply (zenon_L694_); trivial.
% 1.00/1.16 (* end of lemma zenon_L754_ *)
% 1.00/1.16 assert (zenon_L755_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c3_1 (a1449))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(hskp9)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> (~(c3_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c0_1 (a1447))) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H67 zenon_He5 zenon_H19e zenon_H9d zenon_H75 zenon_H177 zenon_H8b zenon_H219 zenon_H168 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H55 zenon_H54 zenon_H56 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H276 zenon_H121 zenon_H1d7 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H199 zenon_He6 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H1d8 zenon_H1d9 zenon_H84 zenon_H87 zenon_H28b zenon_Heb zenon_Hea zenon_He9 zenon_H3c zenon_H3d zenon_H3e zenon_H2d1 zenon_He7.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.16 apply (zenon_L712_); trivial.
% 1.00/1.16 apply (zenon_L754_); trivial.
% 1.00/1.16 (* end of lemma zenon_L755_ *)
% 1.00/1.16 assert (zenon_L756_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_He5 zenon_H8b zenon_H177 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H9d zenon_H229 zenon_H228 zenon_H227 zenon_He6 zenon_H199 zenon_Hb7 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H142 zenon_H4f zenon_H160 zenon_Ha9 zenon_Hab zenon_H187 zenon_H165 zenon_H167 zenon_H168 zenon_H219 zenon_H19e.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.16 apply (zenon_L688_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.16 apply (zenon_L747_); trivial.
% 1.00/1.16 apply (zenon_L723_); trivial.
% 1.00/1.16 (* end of lemma zenon_L756_ *)
% 1.00/1.16 assert (zenon_L757_ : ((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H27 zenon_He7 zenon_H2d1 zenon_H3e zenon_H3d zenon_H3c zenon_H227 zenon_H228 zenon_H229 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H2cd.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 1.00/1.16 apply (zenon_L661_); trivial.
% 1.00/1.16 apply (zenon_L730_); trivial.
% 1.00/1.16 (* end of lemma zenon_L757_ *)
% 1.00/1.16 assert (zenon_L758_ : ((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H230 zenon_H2c zenon_H2d1 zenon_H2cd zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H229 zenon_H228 zenon_H227 zenon_H128 zenon_H129 zenon_H12a zenon_H2cf zenon_He7.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.00/1.16 apply (zenon_L663_); trivial.
% 1.00/1.16 apply (zenon_L757_); trivial.
% 1.00/1.16 (* end of lemma zenon_L758_ *)
% 1.00/1.16 assert (zenon_L759_ : ((ndr1_0)/\((c3_1 (a1438))/\((~(c0_1 (a1438)))/\(~(c1_1 (a1438)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> (~(hskp1)) -> ((hskp12)\/((hskp10)\/(hskp1))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H25e zenon_H1a7 zenon_H1a8 zenon_H2cf zenon_H145 zenon_H276 zenon_Hb7 zenon_H99 zenon_H87 zenon_H72 zenon_H1ea zenon_H6c zenon_H142 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H199 zenon_H2c zenon_H28 zenon_H25 zenon_H168 zenon_H1d6 zenon_H167 zenon_H1c6 zenon_H8b zenon_H283 zenon_H121 zenon_H285 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H177 zenon_H75 zenon_H165 zenon_H9d zenon_H1c0 zenon_He6 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H1e8 zenon_H19e zenon_H1a4 zenon_H5 zenon_H7 zenon_H2cb zenon_H51 zenon_He5 zenon_H20e zenon_H215 zenon_H2cd zenon_H28b zenon_H2d1 zenon_He7 zenon_H1a3 zenon_H233.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_L4_); trivial.
% 1.00/1.16 apply (zenon_L736_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_L641_); trivial.
% 1.00/1.16 apply (zenon_L736_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.16 apply (zenon_L23_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.16 apply (zenon_L737_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.00/1.16 apply (zenon_L651_); trivial.
% 1.00/1.16 apply (zenon_L738_); trivial.
% 1.00/1.16 apply (zenon_L740_); trivial.
% 1.00/1.16 apply (zenon_L658_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.16 apply (zenon_L630_); trivial.
% 1.00/1.16 apply (zenon_L740_); trivial.
% 1.00/1.16 apply (zenon_L251_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.16 apply (zenon_L23_); trivial.
% 1.00/1.16 apply (zenon_L255_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.16 apply (zenon_L737_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_L648_); trivial.
% 1.00/1.16 apply (zenon_L676_); trivial.
% 1.00/1.16 apply (zenon_L251_); trivial.
% 1.00/1.16 apply (zenon_L735_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_L4_); trivial.
% 1.00/1.16 apply (zenon_L753_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_L641_); trivial.
% 1.00/1.16 apply (zenon_L753_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.16 apply (zenon_L737_); trivial.
% 1.00/1.16 apply (zenon_L659_); trivial.
% 1.00/1.16 apply (zenon_L660_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.16 apply (zenon_L748_); trivial.
% 1.00/1.16 apply (zenon_L755_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_L4_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.16 apply (zenon_L717_); trivial.
% 1.00/1.16 apply (zenon_L744_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.16 apply (zenon_L756_); trivial.
% 1.00/1.16 apply (zenon_L100_); trivial.
% 1.00/1.16 apply (zenon_L758_); trivial.
% 1.00/1.16 (* end of lemma zenon_L759_ *)
% 1.00/1.16 assert (zenon_L760_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> (~(c2_1 (a1434))) -> (c1_1 (a1434)) -> (c3_1 (a1434)) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (ndr1_0) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/((hskp5)\/(hskp17))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H1a3 zenon_H235 zenon_H236 zenon_H237 zenon_H45 zenon_H248 zenon_H2cb zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Ha zenon_H19 zenon_H15 zenon_H5 zenon_H25 zenon_H28 zenon_H2c zenon_H72.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.00/1.16 apply (zenon_L642_); trivial.
% 1.00/1.16 apply (zenon_L238_); trivial.
% 1.00/1.16 (* end of lemma zenon_L760_ *)
% 1.00/1.16 assert (zenon_L761_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (ndr1_0) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(hskp11)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H72 zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_H165 zenon_H1ad zenon_H1ae zenon_H1af zenon_H160 zenon_Ha9 zenon_Hab zenon_H1d2 zenon_H1c0 zenon_He6 zenon_Ha zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_Hc8 zenon_H2cb.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_L641_); trivial.
% 1.00/1.16 apply (zenon_L234_); trivial.
% 1.00/1.16 (* end of lemma zenon_L761_ *)
% 1.00/1.16 assert (zenon_L762_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H1eb zenon_H6c zenon_H19e zenon_H219 zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H142 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_Hb7 zenon_H199 zenon_He6 zenon_H227 zenon_H228 zenon_H229 zenon_H8b zenon_H177 zenon_H75 zenon_H9d zenon_He5.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.16 apply (zenon_L748_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.16 apply (zenon_L254_); trivial.
% 1.00/1.16 apply (zenon_L694_); trivial.
% 1.00/1.16 (* end of lemma zenon_L762_ *)
% 1.00/1.16 assert (zenon_L763_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp11))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> (ndr1_0) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(hskp11)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H72 zenon_H1ea zenon_H6c zenon_H142 zenon_H1ba zenon_H2c zenon_H28 zenon_H25 zenon_H5 zenon_He6 zenon_H1d6 zenon_Hb7 zenon_H1c6 zenon_H1d2 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1af zenon_H1ae zenon_H1ad zenon_H165 zenon_H1c0 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H168 zenon_H9d zenon_H75 zenon_H177 zenon_H167 zenon_H8b zenon_H219 zenon_H20e zenon_H285 zenon_H121 zenon_H215 zenon_H199 zenon_H19e zenon_He5 zenon_H1a4 zenon_Ha zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_Hc8 zenon_H2cb.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_L641_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_L232_); trivial.
% 1.00/1.16 apply (zenon_L283_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 1.00/1.16 apply (zenon_L202_); trivial.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 1.00/1.16 apply (zenon_L167_); trivial.
% 1.00/1.16 exact (zenon_H16f zenon_H170).
% 1.00/1.16 apply (zenon_L113_); trivial.
% 1.00/1.16 apply (zenon_L742_); trivial.
% 1.00/1.16 apply (zenon_L12_); trivial.
% 1.00/1.16 apply (zenon_L744_); trivial.
% 1.00/1.16 apply (zenon_L762_); trivial.
% 1.00/1.16 (* end of lemma zenon_L763_ *)
% 1.00/1.16 assert (zenon_L764_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp13)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_H1c4 zenon_Hd zenon_Hc zenon_He zenon_H285 zenon_H121 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_Ha zenon_H11c.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.16 apply (zenon_L272_); trivial.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.16 apply (zenon_L645_); trivial.
% 1.00/1.16 apply (zenon_L616_); trivial.
% 1.00/1.16 (* end of lemma zenon_L764_ *)
% 1.00/1.16 assert (zenon_L765_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (ndr1_0) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_He6 zenon_H283 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_Hd zenon_Hc zenon_He zenon_H1c4 zenon_H285 zenon_H26f zenon_H26e zenon_H26d zenon_Ha zenon_H165 zenon_H199 zenon_H168.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.16 apply (zenon_L764_); trivial.
% 1.00/1.16 apply (zenon_L330_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.16 apply (zenon_L764_); trivial.
% 1.00/1.16 apply (zenon_L675_); trivial.
% 1.00/1.16 (* end of lemma zenon_L765_ *)
% 1.00/1.16 assert (zenon_L766_ : ((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp6)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (~(hskp23)) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H98 zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_H207 zenon_Hd zenon_Hc zenon_He zenon_H20a zenon_H121 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_H11c.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.16 apply (zenon_L272_); trivial.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.16 apply (zenon_L301_); trivial.
% 1.00/1.16 apply (zenon_L616_); trivial.
% 1.00/1.16 (* end of lemma zenon_L766_ *)
% 1.00/1.16 assert (zenon_L767_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((hskp30)\/(hskp24)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H20a zenon_H207 zenon_H9d zenon_H75 zenon_H8b zenon_H168 zenon_H199 zenon_H165 zenon_H26d zenon_H26e zenon_H26f zenon_H285 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H283 zenon_He6.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.00/1.16 apply (zenon_L765_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.16 apply (zenon_L331_); trivial.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.16 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.00/1.16 apply (zenon_L126_); trivial.
% 1.00/1.16 apply (zenon_L766_); trivial.
% 1.00/1.16 apply (zenon_L675_); trivial.
% 1.00/1.16 (* end of lemma zenon_L767_ *)
% 1.00/1.16 assert (zenon_L768_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((hskp30)\/(hskp24)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (ndr1_0) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(hskp11)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H72 zenon_H1ea zenon_H20a zenon_H207 zenon_H9d zenon_H75 zenon_H8b zenon_H168 zenon_H199 zenon_H165 zenon_H26d zenon_H26e zenon_H26f zenon_H285 zenon_H121 zenon_H283 zenon_He6 zenon_Ha zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_Hc8 zenon_H2cb.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.00/1.16 apply (zenon_L641_); trivial.
% 1.00/1.16 apply (zenon_L767_); trivial.
% 1.00/1.16 (* end of lemma zenon_L768_ *)
% 1.00/1.16 assert (zenon_L769_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1447)))/\((~(c2_1 (a1447)))/\(~(c3_1 (a1447))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(c3_1 X25)))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/((hskp12)\/(hskp11))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((hskp30)\/(hskp24)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 1.00/1.16 do 0 intro. intros zenon_H1a3 zenon_H24a zenon_H45 zenon_H4d zenon_H2cb zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Ha zenon_He6 zenon_H283 zenon_H121 zenon_H285 zenon_H26f zenon_H26e zenon_H26d zenon_H165 zenon_H199 zenon_H168 zenon_H8b zenon_H75 zenon_H9d zenon_H207 zenon_H20a zenon_H1ea zenon_H72.
% 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.00/1.16 apply (zenon_L768_); trivial.
% 1.00/1.16 apply (zenon_L230_); trivial.
% 1.00/1.16 (* end of lemma zenon_L769_ *)
% 1.00/1.16 assert (zenon_L770_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp28)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H283 zenon_H1f6 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H165 zenon_Hab zenon_H160 zenon_Ha9 zenon_H26d zenon_H26f zenon_H26e zenon_H185 zenon_H96 zenon_H215 zenon_H121 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_Ha zenon_H11c.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.17 apply (zenon_L272_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.17 apply (zenon_L315_); trivial.
% 1.00/1.17 apply (zenon_L616_); trivial.
% 1.00/1.17 (* end of lemma zenon_L770_ *)
% 1.00/1.17 assert (zenon_L771_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (ndr1_0) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H20e zenon_H285 zenon_H1c4 zenon_Ha zenon_H26d zenon_H26e zenon_H26f zenon_H215 zenon_H185 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H96 zenon_H165 zenon_H121 zenon_H11c zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H283.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 1.00/1.17 apply (zenon_L770_); trivial.
% 1.00/1.17 apply (zenon_L623_); trivial.
% 1.00/1.17 (* end of lemma zenon_L771_ *)
% 1.00/1.17 assert (zenon_L772_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(hskp20)) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (ndr1_0) -> (~(hskp22)) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H16f zenon_Hb zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H187 zenon_H165 zenon_H160 zenon_Hab zenon_Ha9 zenon_Ha zenon_H96.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.17 apply (zenon_L76_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.17 apply (zenon_L174_); trivial.
% 1.00/1.17 apply (zenon_L80_); trivial.
% 1.00/1.17 (* end of lemma zenon_L772_ *)
% 1.00/1.17 assert (zenon_L773_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp9)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp20)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(hskp22)) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H169 zenon_H199 zenon_H84 zenon_H26d zenon_H26f zenon_H26e zenon_H99 zenon_H167 zenon_H16f zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H187 zenon_H165 zenon_H160 zenon_Hab zenon_Ha9 zenon_H96.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.00/1.17 apply (zenon_L76_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.00/1.17 apply (zenon_L304_); trivial.
% 1.00/1.17 apply (zenon_L772_); trivial.
% 1.00/1.17 (* end of lemma zenon_L773_ *)
% 1.00/1.17 assert (zenon_L774_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_He2 zenon_H19e zenon_H219 zenon_H168 zenon_H199 zenon_H187 zenon_H167 zenon_H84 zenon_H99 zenon_H283 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H165 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H215 zenon_H26f zenon_H26e zenon_H26d zenon_H1c4 zenon_H285 zenon_H20e zenon_H207 zenon_H20a zenon_He6.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.17 apply (zenon_L771_); trivial.
% 1.00/1.17 apply (zenon_L773_); trivial.
% 1.00/1.17 apply (zenon_L639_); trivial.
% 1.00/1.17 apply (zenon_L632_); trivial.
% 1.00/1.17 (* end of lemma zenon_L774_ *)
% 1.00/1.17 assert (zenon_L775_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (ndr1_0) -> (c0_1 (a1427)) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H177 zenon_H26e zenon_H26f zenon_H26d zenon_H9e zenon_H194 zenon_H18d zenon_H18c zenon_Ha zenon_H2c1 zenon_H5d zenon_H2b9 zenon_H2ba.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 1.00/1.17 apply (zenon_L279_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 1.00/1.17 apply (zenon_L143_); trivial.
% 1.00/1.17 apply (zenon_L615_); trivial.
% 1.00/1.17 (* end of lemma zenon_L775_ *)
% 1.00/1.17 assert (zenon_L776_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (~(c1_1 (a1441))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (ndr1_0) -> (c0_1 (a1427)) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H177 zenon_Hab zenon_Ha9 zenon_Ha8 zenon_H160 zenon_H194 zenon_H18d zenon_H18c zenon_Ha zenon_H2c1 zenon_H5d zenon_H2b9 zenon_H2ba.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 1.00/1.17 apply (zenon_L79_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 1.00/1.17 apply (zenon_L143_); trivial.
% 1.00/1.17 apply (zenon_L615_); trivial.
% 1.00/1.17 (* end of lemma zenon_L776_ *)
% 1.00/1.17 assert (zenon_L777_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp18)) -> False).
% 1.00/1.17 do 0 intro. intros zenon_Hb7 zenon_H26d zenon_H26f zenon_H26e zenon_H2ba zenon_H2b9 zenon_H5d zenon_H2c1 zenon_Ha zenon_H18c zenon_H18d zenon_H194 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_Hb5.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 1.00/1.17 apply (zenon_L775_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 1.00/1.17 apply (zenon_L776_); trivial.
% 1.00/1.17 exact (zenon_Hb5 zenon_Hb6).
% 1.00/1.17 (* end of lemma zenon_L777_ *)
% 1.00/1.17 assert (zenon_L778_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H19b zenon_H168 zenon_H167 zenon_H26d zenon_H26e zenon_H26f zenon_Ha9 zenon_H160 zenon_Hab zenon_Hb7 zenon_Hb5 zenon_H177 zenon_H283 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.17 apply (zenon_L630_); trivial.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.00/1.17 apply (zenon_L76_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.00/1.17 apply (zenon_L143_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.17 apply (zenon_L272_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.17 apply (zenon_L88_); trivial.
% 1.00/1.17 apply (zenon_L777_); trivial.
% 1.00/1.17 (* end of lemma zenon_L778_ *)
% 1.00/1.17 assert (zenon_L779_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (ndr1_0) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H19e zenon_H177 zenon_H219 zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_Ha zenon_H26d zenon_H26e zenon_H26f zenon_Hb7 zenon_Hb5 zenon_H17c zenon_H17d zenon_H17e zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H283 zenon_He6.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.17 apply (zenon_L272_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.17 apply (zenon_L398_); trivial.
% 1.00/1.17 apply (zenon_L616_); trivial.
% 1.00/1.17 apply (zenon_L629_); trivial.
% 1.00/1.17 apply (zenon_L139_); trivial.
% 1.00/1.17 apply (zenon_L778_); trivial.
% 1.00/1.17 (* end of lemma zenon_L779_ *)
% 1.00/1.17 assert (zenon_L780_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp28)) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H283 zenon_H1f6 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H185 zenon_H26e zenon_H26f zenon_H26d zenon_H17e zenon_H17d zenon_H17c zenon_Ha9 zenon_H160 zenon_Hab zenon_H215 zenon_H121 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_Ha zenon_H11c.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.17 apply (zenon_L272_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H9e | zenon_intro zenon_H216 ].
% 1.00/1.17 apply (zenon_L397_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H212 | zenon_intro zenon_H1f7 ].
% 1.00/1.17 apply (zenon_L170_); trivial.
% 1.00/1.17 exact (zenon_H1f6 zenon_H1f7).
% 1.00/1.17 apply (zenon_L616_); trivial.
% 1.00/1.17 (* end of lemma zenon_L780_ *)
% 1.00/1.17 assert (zenon_L781_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (ndr1_0) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H20e zenon_H285 zenon_H1c4 zenon_Ha zenon_H26d zenon_H26e zenon_H26f zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H17c zenon_H17d zenon_H17e zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H121 zenon_H11c zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H283.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 1.00/1.17 apply (zenon_L780_); trivial.
% 1.00/1.17 apply (zenon_L623_); trivial.
% 1.00/1.17 (* end of lemma zenon_L781_ *)
% 1.00/1.17 assert (zenon_L782_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H168 zenon_H167 zenon_H96 zenon_H165 zenon_H16f zenon_H187 zenon_H283 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H185 zenon_Hab zenon_H160 zenon_Ha9 zenon_H17e zenon_H17d zenon_H17c zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215 zenon_H26f zenon_H26e zenon_H26d zenon_Ha zenon_H1c4 zenon_H285 zenon_H20e.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.17 apply (zenon_L781_); trivial.
% 1.00/1.17 apply (zenon_L629_); trivial.
% 1.00/1.17 (* end of lemma zenon_L782_ *)
% 1.00/1.17 assert (zenon_L783_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp20)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(c1_1 (a1441))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H169 zenon_H199 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_H167 zenon_H16f zenon_H17c zenon_H17d zenon_H17e zenon_H160 zenon_H187 zenon_Ha9 zenon_Hab.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.00/1.17 apply (zenon_L76_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.00/1.17 apply (zenon_L41_); trivial.
% 1.00/1.17 apply (zenon_L456_); trivial.
% 1.00/1.17 (* end of lemma zenon_L783_ *)
% 1.00/1.17 assert (zenon_L784_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (ndr1_0) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_He6 zenon_H199 zenon_H20e zenon_H285 zenon_H1c4 zenon_Ha zenon_H26d zenon_H26e zenon_H26f zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H17c zenon_H17d zenon_H17e zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H283 zenon_H187 zenon_H16f zenon_H165 zenon_H167 zenon_H168.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.17 apply (zenon_L782_); trivial.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.17 apply (zenon_L781_); trivial.
% 1.00/1.17 apply (zenon_L783_); trivial.
% 1.00/1.17 (* end of lemma zenon_L784_ *)
% 1.00/1.17 assert (zenon_L785_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H19f zenon_He5 zenon_H215 zenon_H1c4 zenon_H285 zenon_H20e zenon_H199 zenon_He6 zenon_H283 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H185 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hb7 zenon_H26f zenon_H26e zenon_H26d zenon_H187 zenon_H165 zenon_H167 zenon_H168 zenon_H219 zenon_H177 zenon_H19e.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.17 apply (zenon_L779_); trivial.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.17 apply (zenon_L784_); trivial.
% 1.00/1.17 apply (zenon_L632_); trivial.
% 1.00/1.17 (* end of lemma zenon_L785_ *)
% 1.00/1.17 assert (zenon_L786_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_H160 zenon_Ha9 zenon_Hab zenon_H219 zenon_H121 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_Ha zenon_H11c.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.17 apply (zenon_L272_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.17 apply (zenon_L635_); trivial.
% 1.00/1.17 apply (zenon_L616_); trivial.
% 1.00/1.17 (* end of lemma zenon_L786_ *)
% 1.00/1.17 assert (zenon_L787_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a1449))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_H142 zenon_H4f zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H16f zenon_H187 zenon_H167 zenon_H26d zenon_H26e zenon_H26f zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Hab zenon_Ha9 zenon_H160 zenon_H121 zenon_H283.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.17 apply (zenon_L786_); trivial.
% 1.00/1.17 apply (zenon_L191_); trivial.
% 1.00/1.17 (* end of lemma zenon_L787_ *)
% 1.00/1.17 assert (zenon_L788_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H19e zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H4f zenon_H142 zenon_Ha zenon_H26d zenon_H26e zenon_H26f zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Hab zenon_Ha9 zenon_H160 zenon_H121 zenon_H283 zenon_H199 zenon_He6.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.00/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.17 apply (zenon_L786_); trivial.
% 1.00/1.17 apply (zenon_L153_); trivial.
% 1.00/1.17 apply (zenon_L787_); trivial.
% 1.00/1.17 apply (zenon_L632_); trivial.
% 1.00/1.17 (* end of lemma zenon_L788_ *)
% 1.00/1.17 assert (zenon_L789_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H67 zenon_H168 zenon_H167 zenon_H26d zenon_H26e zenon_H26f zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Hab zenon_Ha9 zenon_H160 zenon_H121 zenon_H283.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.17 apply (zenon_L786_); trivial.
% 1.00/1.17 apply (zenon_L328_); trivial.
% 1.00/1.17 (* end of lemma zenon_L789_ *)
% 1.00/1.17 assert (zenon_L790_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H1eb zenon_H6c zenon_He6 zenon_H199 zenon_H283 zenon_H121 zenon_H160 zenon_Ha9 zenon_Hab zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H26f zenon_H26e zenon_H26d zenon_H142 zenon_H187 zenon_H165 zenon_H167 zenon_H168 zenon_H19e.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.00/1.17 apply (zenon_L788_); trivial.
% 1.00/1.17 apply (zenon_L789_); trivial.
% 1.00/1.17 (* end of lemma zenon_L790_ *)
% 1.00/1.17 assert (zenon_L791_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (~(c1_1 (a1441))) -> (c3_1 (a1448)) -> (~(c2_1 (a1448))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (c0_1 (a1448)) -> (ndr1_0) -> (~(hskp6)) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H20a zenon_Hab zenon_Ha9 zenon_Ha8 zenon_H160 zenon_He zenon_Hc zenon_H171 zenon_Hd zenon_Ha zenon_H207.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H8c | zenon_intro zenon_H20d ].
% 1.00/1.17 apply (zenon_L79_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1fd | zenon_intro zenon_H208 ].
% 1.00/1.17 apply (zenon_L265_); trivial.
% 1.00/1.17 exact (zenon_H207 zenon_H208).
% 1.00/1.17 (* end of lemma zenon_L791_ *)
% 1.00/1.17 assert (zenon_L792_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp22)) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(hskp6)) -> (ndr1_0) -> (c0_1 (a1448)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp18)) -> False).
% 1.00/1.17 do 0 intro. intros zenon_Hb7 zenon_H96 zenon_H26d zenon_H26f zenon_H26e zenon_H165 zenon_H207 zenon_Ha zenon_Hd zenon_H171 zenon_Hc zenon_He zenon_H160 zenon_Ha9 zenon_Hab zenon_H20a zenon_Hb5.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 1.00/1.17 apply (zenon_L280_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 1.00/1.17 apply (zenon_L791_); trivial.
% 1.00/1.17 exact (zenon_Hb5 zenon_Hb6).
% 1.00/1.17 (* end of lemma zenon_L792_ *)
% 1.00/1.17 assert (zenon_L793_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (c3_1 (a1448)) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_H26d zenon_H26e zenon_H26f zenon_Hb7 zenon_Hb5 zenon_H160 zenon_Ha9 zenon_Hab zenon_Hd zenon_Hc zenon_He zenon_H207 zenon_H20a zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H283.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.17 apply (zenon_L272_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.17 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 1.00/1.17 apply (zenon_L41_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 1.00/1.17 apply (zenon_L791_); trivial.
% 1.00/1.17 exact (zenon_Hb5 zenon_Hb6).
% 1.00/1.17 apply (zenon_L616_); trivial.
% 1.00/1.17 apply (zenon_L675_); trivial.
% 1.00/1.17 (* end of lemma zenon_L793_ *)
% 1.00/1.17 assert (zenon_L794_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_He6 zenon_H283 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H20a zenon_H207 zenon_Hab zenon_Ha9 zenon_H160 zenon_Hb5 zenon_Hb7 zenon_H26f zenon_H26e zenon_H26d zenon_Ha zenon_H199 zenon_H168.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.00/1.17 apply (zenon_L272_); trivial.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.00/1.17 apply (zenon_L792_); trivial.
% 1.00/1.17 apply (zenon_L616_); trivial.
% 1.00/1.17 apply (zenon_L330_); trivial.
% 1.00/1.17 apply (zenon_L793_); trivial.
% 1.00/1.17 (* end of lemma zenon_L794_ *)
% 1.00/1.17 assert (zenon_L795_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H6d zenon_He5 zenon_H27f zenon_H3 zenon_H168 zenon_H199 zenon_H26d zenon_H26e zenon_H26f zenon_Hb7 zenon_H160 zenon_Ha9 zenon_Hab zenon_H207 zenon_H20a zenon_H165 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H283 zenon_He6.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.00/1.17 apply (zenon_L794_); trivial.
% 1.00/1.17 apply (zenon_L285_); trivial.
% 1.00/1.17 (* end of lemma zenon_L795_ *)
% 1.00/1.17 assert (zenon_L796_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp21)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (ndr1_0) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H168 zenon_H1d6 zenon_H167 zenon_H82 zenon_H2cd zenon_H11e zenon_H1c4 zenon_H1c6 zenon_Ha zenon_H26d zenon_H26e zenon_H26f zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Hab zenon_Ha9 zenon_H160 zenon_H121 zenon_H283.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.00/1.17 apply (zenon_L786_); trivial.
% 1.00/1.17 apply (zenon_L714_); trivial.
% 1.00/1.17 (* end of lemma zenon_L796_ *)
% 1.00/1.17 assert (zenon_L797_ : ((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H27 zenon_He7 zenon_H2d1 zenon_H3e zenon_H3d zenon_H3c zenon_H283 zenon_H121 zenon_H160 zenon_Ha9 zenon_Hab zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H26f zenon_H26e zenon_H26d zenon_H1c6 zenon_H1c4 zenon_H11e zenon_H2cd zenon_H167 zenon_H1d6 zenon_H168.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 1.00/1.17 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 1.00/1.17 apply (zenon_L796_); trivial.
% 1.00/1.17 apply (zenon_L730_); trivial.
% 1.00/1.17 (* end of lemma zenon_L797_ *)
% 1.00/1.17 assert (zenon_L798_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(hskp23)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(hskp22)) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (ndr1_0) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> False).
% 1.00/1.17 do 0 intro. intros zenon_H20e zenon_H285 zenon_H1c4 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H11c zenon_H121 zenon_H99 zenon_H84 zenon_H96 zenon_H26e zenon_H26f zenon_H26d zenon_Ha zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215.
% 1.00/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 1.00/1.17 apply (zenon_L363_); trivial.
% 1.00/1.17 apply (zenon_L623_); trivial.
% 1.00/1.17 (* end of lemma zenon_L798_ *)
% 1.00/1.17 assert (zenon_L799_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_He2 zenon_H19e zenon_H219 zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_H283 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H185 zenon_Hab zenon_H160 zenon_Ha9 zenon_H17e zenon_H17d zenon_H17c zenon_H215 zenon_H26f zenon_H26e zenon_H26d zenon_H1c4 zenon_H285 zenon_H20e zenon_H55 zenon_H56 zenon_H207 zenon_H20a zenon_H199 zenon_He6.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.17 apply (zenon_L782_); trivial.
% 1.04/1.17 apply (zenon_L726_); trivial.
% 1.04/1.17 apply (zenon_L632_); trivial.
% 1.04/1.17 (* end of lemma zenon_L799_ *)
% 1.04/1.17 assert (zenon_L800_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H1a4 zenon_H283 zenon_H185 zenon_H160 zenon_H187 zenon_H165 zenon_H219 zenon_H177 zenon_H19e zenon_He6 zenon_H1c6 zenon_H1c4 zenon_H99 zenon_H84 zenon_H26e zenon_H26f zenon_H26d zenon_Hb7 zenon_H1d6 zenon_H168 zenon_H199 zenon_H20a zenon_H207 zenon_H56 zenon_H55 zenon_Ha9 zenon_Hab zenon_H167 zenon_H215 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H285 zenon_H20e zenon_He5.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.17 apply (zenon_L306_); trivial.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.17 apply (zenon_L798_); trivial.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 1.04/1.17 apply (zenon_L363_); trivial.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.04/1.17 apply (zenon_L76_); trivial.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.04/1.17 apply (zenon_L304_); trivial.
% 1.04/1.17 apply (zenon_L724_); trivial.
% 1.04/1.17 apply (zenon_L726_); trivial.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.17 apply (zenon_L779_); trivial.
% 1.04/1.17 apply (zenon_L799_); trivial.
% 1.04/1.17 (* end of lemma zenon_L800_ *)
% 1.04/1.17 assert (zenon_L801_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((hskp30)\/(hskp24)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H54 zenon_H55 zenon_H56 zenon_H128 zenon_H129 zenon_H12a zenon_H145 zenon_H9d zenon_H75 zenon_H8b zenon_H168 zenon_H199 zenon_H165 zenon_H26d zenon_H26e zenon_H26f zenon_H285 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H283 zenon_He6.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.17 apply (zenon_L765_); trivial.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.17 apply (zenon_L331_); trivial.
% 1.04/1.17 apply (zenon_L682_); trivial.
% 1.04/1.17 (* end of lemma zenon_L801_ *)
% 1.04/1.17 assert (zenon_L802_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((hskp30)\/(hskp24)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp10)) -> (~(hskp1)) -> ((hskp12)\/((hskp10)\/(hskp1))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H72 zenon_H1ea zenon_H54 zenon_H55 zenon_H56 zenon_H128 zenon_H129 zenon_H12a zenon_H145 zenon_H9d zenon_H75 zenon_H8b zenon_H168 zenon_H199 zenon_H165 zenon_H26d zenon_H26e zenon_H26f zenon_H285 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H283 zenon_He6 zenon_H3 zenon_H5 zenon_H7.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.17 apply (zenon_L4_); trivial.
% 1.04/1.17 apply (zenon_L801_); trivial.
% 1.04/1.17 (* end of lemma zenon_L802_ *)
% 1.04/1.17 assert (zenon_L803_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (~(c0_1 (a1438))) -> (ndr1_0) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H1a4 zenon_He5 zenon_H20e zenon_H285 zenon_H215 zenon_H207 zenon_H20a zenon_H199 zenon_He6 zenon_Hb7 zenon_H187 zenon_H165 zenon_H219 zenon_H283 zenon_H177 zenon_H26f zenon_H26e zenon_H26d zenon_H19e zenon_He7 zenon_H2cf zenon_H145 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H12a zenon_H129 zenon_H128 zenon_H56 zenon_H55 zenon_H54 zenon_Ha zenon_H1c6 zenon_H1c4 zenon_H2cd zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H1d6 zenon_H168 zenon_H3c zenon_H3d zenon_H3e zenon_H2d1 zenon_H2c.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.17 apply (zenon_L731_); trivial.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.17 apply (zenon_L719_); trivial.
% 1.04/1.17 apply (zenon_L778_); trivial.
% 1.04/1.17 apply (zenon_L727_); trivial.
% 1.04/1.17 (* end of lemma zenon_L803_ *)
% 1.04/1.17 assert (zenon_L804_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H283 zenon_H26f zenon_H26e zenon_H26d zenon_H229 zenon_H228 zenon_H227 zenon_H121 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_Ha zenon_H11c.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.04/1.17 apply (zenon_L272_); trivial.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.04/1.17 apply (zenon_L202_); trivial.
% 1.04/1.17 apply (zenon_L616_); trivial.
% 1.04/1.17 (* end of lemma zenon_L804_ *)
% 1.04/1.17 assert (zenon_L805_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp22)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H168 zenon_H199 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H16f zenon_H187 zenon_H96 zenon_H84 zenon_H99 zenon_Ha zenon_H26d zenon_H26e zenon_H26f zenon_H227 zenon_H228 zenon_H229 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H283.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.17 apply (zenon_L804_); trivial.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.04/1.17 apply (zenon_L76_); trivial.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.04/1.17 apply (zenon_L304_); trivial.
% 1.04/1.17 apply (zenon_L656_); trivial.
% 1.04/1.17 (* end of lemma zenon_L805_ *)
% 1.04/1.17 assert (zenon_L806_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H19b zenon_He6 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H99 zenon_H84 zenon_H26e zenon_H26f zenon_H26d zenon_H167 zenon_Hab zenon_Ha9 zenon_H199 zenon_H168.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.17 apply (zenon_L630_); trivial.
% 1.04/1.17 apply (zenon_L345_); trivial.
% 1.04/1.17 apply (zenon_L631_); trivial.
% 1.04/1.17 (* end of lemma zenon_L806_ *)
% 1.04/1.17 assert (zenon_L807_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H19f zenon_H19e zenon_He6 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H99 zenon_H84 zenon_H26e zenon_H26f zenon_H26d zenon_H167 zenon_Hab zenon_Ha9 zenon_H199 zenon_H168 zenon_H227 zenon_H228 zenon_H229 zenon_H187.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.17 apply (zenon_L250_); trivial.
% 1.04/1.17 apply (zenon_L806_); trivial.
% 1.04/1.17 (* end of lemma zenon_L807_ *)
% 1.04/1.17 assert (zenon_L808_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H1a4 zenon_He6 zenon_H1c6 zenon_H1c4 zenon_H99 zenon_H84 zenon_H26e zenon_H26f zenon_H26d zenon_Hb7 zenon_H1d6 zenon_H215 zenon_H285 zenon_H20e zenon_H283 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H229 zenon_H228 zenon_H227 zenon_H187 zenon_H199 zenon_H168 zenon_Ha9 zenon_Hab zenon_H167 zenon_H219 zenon_H19e zenon_He5.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.17 apply (zenon_L306_); trivial.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.17 apply (zenon_L805_); trivial.
% 1.04/1.17 apply (zenon_L658_); trivial.
% 1.04/1.17 apply (zenon_L806_); trivial.
% 1.04/1.17 apply (zenon_L807_); trivial.
% 1.04/1.17 (* end of lemma zenon_L808_ *)
% 1.04/1.17 assert (zenon_L809_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp20)) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp9)) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H276 zenon_H26f zenon_H26e zenon_H26d zenon_H16f zenon_Ha zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H84.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H155 | zenon_intro zenon_H277 ].
% 1.04/1.17 apply (zenon_L272_); trivial.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H131 | zenon_intro zenon_H85 ].
% 1.04/1.17 apply (zenon_L203_); trivial.
% 1.04/1.17 exact (zenon_H84 zenon_H85).
% 1.04/1.17 (* end of lemma zenon_L809_ *)
% 1.04/1.17 assert (zenon_L810_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H1ea zenon_H276 zenon_He5 zenon_H19e zenon_H219 zenon_H167 zenon_Hab zenon_Ha9 zenon_H168 zenon_H199 zenon_H187 zenon_H227 zenon_H228 zenon_H229 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H283 zenon_H20e zenon_H285 zenon_H215 zenon_H1d6 zenon_Hb7 zenon_H26d zenon_H26f zenon_H26e zenon_H84 zenon_H99 zenon_H1c6 zenon_He6 zenon_H1a4.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.17 apply (zenon_L808_); trivial.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.17 apply (zenon_L809_); trivial.
% 1.04/1.17 apply (zenon_L806_); trivial.
% 1.04/1.17 (* end of lemma zenon_L810_ *)
% 1.04/1.17 assert (zenon_L811_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (~(hskp18)) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H19b zenon_H283 zenon_H229 zenon_H228 zenon_H227 zenon_Hb7 zenon_H26d zenon_H26f zenon_H26e zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_Hb5.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.04/1.17 apply (zenon_L272_); trivial.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.04/1.17 apply (zenon_L202_); trivial.
% 1.04/1.17 apply (zenon_L777_); trivial.
% 1.04/1.17 (* end of lemma zenon_L811_ *)
% 1.04/1.17 assert (zenon_L812_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_He5 zenon_H27f zenon_H3 zenon_He6 zenon_H142 zenon_H4f zenon_H187 zenon_H167 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Hab zenon_Ha9 zenon_H160 zenon_H283 zenon_H9d zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H26e zenon_H26f zenon_H26d zenon_H199 zenon_H168 zenon_H227 zenon_H228 zenon_H229 zenon_Hb7 zenon_H177 zenon_H19e.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.17 apply (zenon_L331_); trivial.
% 1.04/1.17 apply (zenon_L787_); trivial.
% 1.04/1.17 apply (zenon_L811_); trivial.
% 1.04/1.17 apply (zenon_L285_); trivial.
% 1.04/1.17 (* end of lemma zenon_L812_ *)
% 1.04/1.17 assert (zenon_L813_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H19b zenon_He6 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H26e zenon_H26f zenon_H26d zenon_H199 zenon_H168.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.17 apply (zenon_L630_); trivial.
% 1.04/1.17 apply (zenon_L330_); trivial.
% 1.04/1.17 apply (zenon_L722_); trivial.
% 1.04/1.17 (* end of lemma zenon_L813_ *)
% 1.04/1.17 assert (zenon_L814_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_He zenon_Hd zenon_Hc zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.17 apply (zenon_L684_); trivial.
% 1.04/1.17 apply (zenon_L675_); trivial.
% 1.04/1.17 (* end of lemma zenon_L814_ *)
% 1.04/1.17 assert (zenon_L815_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H168 zenon_H199 zenon_H165 zenon_H26d zenon_H26e zenon_H26f zenon_H285 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H283 zenon_He6.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.17 apply (zenon_L765_); trivial.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.17 apply (zenon_L684_); trivial.
% 1.04/1.17 apply (zenon_L330_); trivial.
% 1.04/1.17 apply (zenon_L814_); trivial.
% 1.04/1.17 (* end of lemma zenon_L815_ *)
% 1.04/1.17 assert (zenon_L816_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> (~(hskp10)) -> (~(hskp1)) -> ((hskp12)\/((hskp10)\/(hskp1))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H72 zenon_H1ea zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H168 zenon_H199 zenon_H165 zenon_H26d zenon_H26e zenon_H26f zenon_H285 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H283 zenon_He6 zenon_H3 zenon_H5 zenon_H7.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.17 apply (zenon_L4_); trivial.
% 1.04/1.17 apply (zenon_L815_); trivial.
% 1.04/1.17 (* end of lemma zenon_L816_ *)
% 1.04/1.17 assert (zenon_L817_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> (~(c0_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c3_1 (a1447))) -> (~(hskp18)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (ndr1_0) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_He7 zenon_H2d1 zenon_H3e zenon_H3d zenon_H3c zenon_H1ad zenon_H1ae zenon_H1af zenon_He9 zenon_Hea zenon_Heb zenon_Hb5 zenon_H28b zenon_H283 zenon_H121 zenon_H160 zenon_Ha9 zenon_Hab zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H26f zenon_H26e zenon_H26d zenon_Ha zenon_H1c6 zenon_H1c4 zenon_H11e zenon_H2cd zenon_H167 zenon_H1d6 zenon_H168.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 1.04/1.17 apply (zenon_L796_); trivial.
% 1.04/1.17 apply (zenon_L711_); trivial.
% 1.04/1.17 (* end of lemma zenon_L817_ *)
% 1.04/1.17 assert (zenon_L818_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (~(c1_1 (a1441))) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H177 zenon_Ha8 zenon_Hab zenon_Ha9 zenon_H171 zenon_H160 zenon_Ha zenon_H31 zenon_H1d8 zenon_H1d9.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 1.04/1.17 apply (zenon_L79_); trivial.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 1.04/1.17 apply (zenon_L85_); trivial.
% 1.04/1.17 apply (zenon_L246_); trivial.
% 1.04/1.17 (* end of lemma zenon_L818_ *)
% 1.04/1.17 assert (zenon_L819_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> (~(c1_1 (a1441))) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H1ba zenon_H1d9 zenon_H1d8 zenon_H171 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_H18c zenon_H18d zenon_H194 zenon_H160 zenon_Ha8 zenon_Ha9 zenon_Hab zenon_H177 zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 1.04/1.17 apply (zenon_L818_); trivial.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 1.04/1.17 apply (zenon_L776_); trivial.
% 1.04/1.17 apply (zenon_L104_); trivial.
% 1.04/1.17 (* end of lemma zenon_L819_ *)
% 1.04/1.17 assert (zenon_L820_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H19b zenon_H168 zenon_H167 zenon_H26d zenon_H26e zenon_H26f zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H160 zenon_Ha9 zenon_Hab zenon_H1d8 zenon_H1d9 zenon_H177 zenon_Hb7 zenon_Hb5 zenon_H283 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.17 apply (zenon_L630_); trivial.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.04/1.17 apply (zenon_L76_); trivial.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.04/1.17 apply (zenon_L143_); trivial.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H155 | zenon_intro zenon_H284 ].
% 1.04/1.17 apply (zenon_L272_); trivial.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H171 | zenon_intro zenon_H5d ].
% 1.04/1.17 apply (zenon_L819_); trivial.
% 1.04/1.17 apply (zenon_L777_); trivial.
% 1.04/1.17 (* end of lemma zenon_L820_ *)
% 1.04/1.17 assert (zenon_L821_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H19e zenon_H26d zenon_H26e zenon_H26f zenon_H177 zenon_H283 zenon_H219 zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H4f zenon_H142 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_Hb7 zenon_Hb5 zenon_H199 zenon_He6.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.17 apply (zenon_L687_); trivial.
% 1.04/1.17 apply (zenon_L820_); trivial.
% 1.04/1.17 (* end of lemma zenon_L821_ *)
% 1.04/1.17 assert (zenon_L822_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((hskp30)\/(hskp24)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_H1eb zenon_H6c zenon_H19e zenon_H26d zenon_H26e zenon_H26f zenon_H177 zenon_H283 zenon_H219 zenon_H168 zenon_H167 zenon_H165 zenon_H187 zenon_Hab zenon_Ha9 zenon_H160 zenon_H142 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_Hb7 zenon_H199 zenon_He6 zenon_H8b zenon_H75 zenon_H215 zenon_H207 zenon_H20a zenon_H20e zenon_H9d zenon_He5.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.17 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.17 apply (zenon_L821_); trivial.
% 1.04/1.17 apply (zenon_L695_); trivial.
% 1.04/1.17 apply (zenon_L383_); trivial.
% 1.04/1.17 (* end of lemma zenon_L822_ *)
% 1.04/1.17 assert (zenon_L823_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp21)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (~(hskp15)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 1.04/1.17 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H1d6 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H82 zenon_H2cd zenon_H11e zenon_H1c6 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1c4 zenon_H285 zenon_H20e.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.04/1.17 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.04/1.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.17 apply (zenon_L624_); trivial.
% 1.04/1.18 apply (zenon_L714_); trivial.
% 1.04/1.18 (* end of lemma zenon_L823_ *)
% 1.04/1.18 assert (zenon_L824_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (ndr1_0) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp15)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (~(hskp21)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_He6 zenon_H20e zenon_H285 zenon_H1c4 zenon_Ha zenon_H26d zenon_H26e zenon_H26f zenon_H215 zenon_H185 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H165 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H283 zenon_H1c6 zenon_H11e zenon_H2cd zenon_H82 zenon_H167 zenon_H1d6 zenon_H168.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L771_); trivial.
% 1.04/1.18 apply (zenon_L714_); trivial.
% 1.04/1.18 apply (zenon_L823_); trivial.
% 1.04/1.18 (* end of lemma zenon_L824_ *)
% 1.04/1.18 assert (zenon_L825_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (~(hskp15)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_He2 zenon_He7 zenon_H2cf zenon_H17 zenon_H12a zenon_H129 zenon_H128 zenon_H168 zenon_H1d6 zenon_H167 zenon_H2cd zenon_H11e zenon_H1c6 zenon_H283 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H165 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H215 zenon_H26f zenon_H26e zenon_H26d zenon_H1c4 zenon_H285 zenon_H20e zenon_He6.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 1.04/1.18 apply (zenon_L824_); trivial.
% 1.04/1.18 apply (zenon_L662_); trivial.
% 1.04/1.18 (* end of lemma zenon_L825_ *)
% 1.04/1.18 assert (zenon_L826_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> (~(c2_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c0_1 (a1457))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (~(hskp15)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_He2 zenon_He7 zenon_H2d1 zenon_H3e zenon_H3d zenon_H3c zenon_H1e zenon_H1d zenon_H1c zenon_H168 zenon_H1d6 zenon_H167 zenon_H2cd zenon_H11e zenon_H1c6 zenon_H283 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H165 zenon_Ha9 zenon_H160 zenon_Hab zenon_H185 zenon_H215 zenon_H26f zenon_H26e zenon_H26d zenon_H1c4 zenon_H285 zenon_H20e zenon_He6.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 1.04/1.18 apply (zenon_L824_); trivial.
% 1.04/1.18 apply (zenon_L730_); trivial.
% 1.04/1.18 (* end of lemma zenon_L826_ *)
% 1.04/1.18 assert (zenon_L827_ : ((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp18))) -> (~(c3_1 (a1447))) -> (~(c2_1 (a1447))) -> (~(c0_1 (a1447))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c1_1 (a1445))) -> (~(c3_1 (a1445))) -> (c0_1 (a1445)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H27 zenon_He5 zenon_H165 zenon_H185 zenon_H215 zenon_H285 zenon_H20e zenon_He6 zenon_H168 zenon_H1d6 zenon_H167 zenon_H2cd zenon_H11e zenon_H1c4 zenon_H1c6 zenon_H26d zenon_H26e zenon_H26f zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Hab zenon_Ha9 zenon_H160 zenon_H121 zenon_H283 zenon_H28b zenon_Heb zenon_Hea zenon_He9 zenon_H1af zenon_H1ae zenon_H1ad zenon_H3c zenon_H3d zenon_H3e zenon_H2d1 zenon_He7.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.18 apply (zenon_L817_); trivial.
% 1.04/1.18 apply (zenon_L826_); trivial.
% 1.04/1.18 (* end of lemma zenon_L827_ *)
% 1.04/1.18 assert (zenon_L828_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(hskp22)) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H1d1 zenon_H20e zenon_H167 zenon_H55 zenon_H56 zenon_H207 zenon_H20a zenon_H14d zenon_H14c zenon_H14b zenon_H99 zenon_H84 zenon_H96 zenon_H26e zenon_H26f zenon_H26d zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 1.04/1.18 apply (zenon_L363_); trivial.
% 1.04/1.18 apply (zenon_L625_); trivial.
% 1.04/1.18 (* end of lemma zenon_L828_ *)
% 1.04/1.18 assert (zenon_L829_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(hskp22)) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H169 zenon_H1d6 zenon_H20e zenon_H167 zenon_H55 zenon_H56 zenon_H207 zenon_H20a zenon_H99 zenon_H84 zenon_H96 zenon_H26e zenon_H26f zenon_H26d zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215 zenon_H11e zenon_H1c4 zenon_H1c6.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.04/1.18 apply (zenon_L119_); trivial.
% 1.04/1.18 apply (zenon_L828_); trivial.
% 1.04/1.18 (* end of lemma zenon_L829_ *)
% 1.04/1.18 assert (zenon_L830_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp9)) -> (~(hskp21)) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp23)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H1ba zenon_H84 zenon_H82 zenon_H1d8 zenon_H1d9 zenon_H87 zenon_H11c zenon_H2c1 zenon_H2b9 zenon_H2ba zenon_H121 zenon_Ha zenon_H1ad zenon_H1ae zenon_H1af.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 1.04/1.18 apply (zenon_L709_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 1.04/1.18 apply (zenon_L616_); trivial.
% 1.04/1.18 apply (zenon_L104_); trivial.
% 1.04/1.18 (* end of lemma zenon_L830_ *)
% 1.04/1.18 assert (zenon_L831_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> (~(hskp21)) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_He zenon_Hd zenon_Hc zenon_H87 zenon_H84 zenon_H82 zenon_H1d9 zenon_H1d8 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L830_); trivial.
% 1.04/1.18 apply (zenon_L675_); trivial.
% 1.04/1.18 (* end of lemma zenon_L831_ *)
% 1.04/1.18 assert (zenon_L832_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> (~(c0_1 (a1430))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H1eb zenon_H2c zenon_He7 zenon_H2d1 zenon_H3e zenon_H3d zenon_H3c zenon_H168 zenon_H199 zenon_H87 zenon_H84 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H1c0 zenon_H26d zenon_H26f zenon_H26e zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_He6.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.04/1.18 apply (zenon_L374_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L830_); trivial.
% 1.04/1.18 apply (zenon_L330_); trivial.
% 1.04/1.18 apply (zenon_L831_); trivial.
% 1.04/1.18 apply (zenon_L730_); trivial.
% 1.04/1.18 (* end of lemma zenon_L832_ *)
% 1.04/1.18 assert (zenon_L833_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1445)) -> (~(c3_1 (a1445))) -> (~(c1_1 (a1445))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp21)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H2c zenon_He7 zenon_H2d1 zenon_H3e zenon_H3d zenon_H3c zenon_H87 zenon_H84 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H1c0 zenon_H168 zenon_H199 zenon_H165 zenon_H26d zenon_H26e zenon_H26f zenon_H285 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H283 zenon_He6.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.18 apply (zenon_L765_); trivial.
% 1.04/1.18 apply (zenon_L832_); trivial.
% 1.04/1.18 (* end of lemma zenon_L833_ *)
% 1.04/1.18 assert (zenon_L834_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((hskp30)\/(hskp24)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> (~(hskp8)) -> (~(c0_1 (a1438))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H1a2 zenon_H72 zenon_H1ea zenon_H20a zenon_H207 zenon_H9d zenon_H75 zenon_H8b zenon_H168 zenon_H199 zenon_H165 zenon_H26d zenon_H26e zenon_H26f zenon_H285 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H283 zenon_He6 zenon_H51 zenon_H4d zenon_H54 zenon_H55 zenon_H56 zenon_H145 zenon_H6c.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.18 apply (zenon_L116_); trivial.
% 1.04/1.18 apply (zenon_L767_); trivial.
% 1.04/1.18 (* end of lemma zenon_L834_ *)
% 1.04/1.18 assert (zenon_L835_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1438)) -> (~(c1_1 (a1438))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_H56 zenon_H55 zenon_Ha9 zenon_Hab zenon_H167 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H207 zenon_H20a zenon_H20e zenon_H9d.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L173_); trivial.
% 1.04/1.18 apply (zenon_L725_); trivial.
% 1.04/1.18 (* end of lemma zenon_L835_ *)
% 1.04/1.18 assert (zenon_L836_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((hskp30)\/(hskp24)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (~(c1_1 (a1438))) -> (c3_1 (a1438)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_He5 zenon_H9d zenon_H20e zenon_H20a zenon_H207 zenon_H215 zenon_H75 zenon_H8b zenon_H55 zenon_H56 zenon_He6 zenon_H199 zenon_Hb7 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H142 zenon_H4f zenon_H160 zenon_Ha9 zenon_Hab zenon_H187 zenon_H165 zenon_H167 zenon_H168 zenon_H219 zenon_H283 zenon_H177 zenon_H26f zenon_H26e zenon_H26d zenon_H19e.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.18 apply (zenon_L821_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.18 apply (zenon_L685_); trivial.
% 1.04/1.18 apply (zenon_L835_); trivial.
% 1.04/1.18 apply (zenon_L694_); trivial.
% 1.04/1.18 (* end of lemma zenon_L836_ *)
% 1.04/1.18 assert (zenon_L837_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((hskp8)\/((hskp12)\/(hskp14))) -> (~(hskp8)) -> (~(c0_1 (a1430))) -> (~(c2_1 (a1430))) -> (c3_1 (a1430)) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H72 zenon_H1ea zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H168 zenon_H199 zenon_H165 zenon_H285 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_He6 zenon_H51 zenon_H4d zenon_H26d zenon_H26e zenon_H26f zenon_H227 zenon_H228 zenon_H229 zenon_H283 zenon_H6c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.18 apply (zenon_L356_); trivial.
% 1.04/1.18 apply (zenon_L815_); trivial.
% 1.04/1.18 (* end of lemma zenon_L837_ *)
% 1.04/1.18 assert (zenon_L838_ : ((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1445))/\((~(c1_1 (a1445)))/\(~(c3_1 (a1445))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> ((hskp12)\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c2_1 X32)\/(~(c3_1 X32))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c3_1 (a1430)) -> (~(c2_1 (a1430))) -> (~(c0_1 (a1430))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H1a2 zenon_H233 zenon_H2c zenon_H2d1 zenon_H2cd zenon_H229 zenon_H228 zenon_H227 zenon_H2cf zenon_He7 zenon_H7 zenon_H5 zenon_He6 zenon_H283 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H285 zenon_H26f zenon_H26e zenon_H26d zenon_H165 zenon_H199 zenon_H168 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H1ea zenon_H72.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.18 apply (zenon_L816_); trivial.
% 1.04/1.18 apply (zenon_L758_); trivial.
% 1.04/1.18 (* end of lemma zenon_L838_ *)
% 1.04/1.18 assert (zenon_L839_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H219 zenon_H299 zenon_H292 zenon_H290 zenon_H9e zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_Ha zenon_H11c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H154 | zenon_intro zenon_H21a ].
% 1.04/1.18 apply (zenon_L445_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H21b | zenon_intro zenon_H11d ].
% 1.04/1.18 apply (zenon_L620_); trivial.
% 1.04/1.18 exact (zenon_H11c zenon_H11d).
% 1.04/1.18 (* end of lemma zenon_L839_ *)
% 1.04/1.18 assert (zenon_L840_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp23)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(hskp18)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H1d1 zenon_Hb7 zenon_H11c zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H290 zenon_H292 zenon_H299 zenon_H219 zenon_Hb5.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 1.04/1.18 apply (zenon_L839_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 1.04/1.18 apply (zenon_L120_); trivial.
% 1.04/1.18 exact (zenon_Hb5 zenon_Hb6).
% 1.04/1.18 (* end of lemma zenon_L840_ *)
% 1.04/1.18 assert (zenon_L841_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(hskp23)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H1d6 zenon_Hb7 zenon_Hb5 zenon_H290 zenon_H292 zenon_H299 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H11c zenon_H219 zenon_H11e zenon_H1c4 zenon_H1c6.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.04/1.18 apply (zenon_L119_); trivial.
% 1.04/1.18 apply (zenon_L840_); trivial.
% 1.04/1.18 (* end of lemma zenon_L841_ *)
% 1.04/1.18 assert (zenon_L842_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (c0_1 (a1428)) -> (c2_1 (a1428)) -> (c3_1 (a1428)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H299 zenon_H292 zenon_H290 zenon_H9e zenon_Ha zenon_H1c8 zenon_H1c9 zenon_H1ca.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.04/1.18 apply (zenon_L76_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.04/1.18 apply (zenon_L445_); trivial.
% 1.04/1.18 apply (zenon_L120_); trivial.
% 1.04/1.18 (* end of lemma zenon_L842_ *)
% 1.04/1.18 assert (zenon_L843_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1477))) -> (~(c1_1 (a1477))) -> (c2_1 (a1477)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H1d1 zenon_H199 zenon_H290 zenon_H292 zenon_H299 zenon_H14b zenon_H14c zenon_H14d zenon_H167 zenon_Hc zenon_Hd zenon_He.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.04/1.18 apply (zenon_L76_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.04/1.18 apply (zenon_L842_); trivial.
% 1.04/1.18 apply (zenon_L6_); trivial.
% 1.04/1.18 (* end of lemma zenon_L843_ *)
% 1.04/1.18 assert (zenon_L844_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H169 zenon_H1d6 zenon_H199 zenon_He zenon_Hd zenon_Hc zenon_H290 zenon_H292 zenon_H299 zenon_H167 zenon_H11e zenon_H1c4 zenon_H1c6.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.04/1.18 apply (zenon_L119_); trivial.
% 1.04/1.18 apply (zenon_L843_); trivial.
% 1.04/1.18 (* end of lemma zenon_L844_ *)
% 1.04/1.18 assert (zenon_L845_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp23)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (ndr1_0) -> (~(hskp28)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H215 zenon_H11c zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H290 zenon_H292 zenon_H299 zenon_H219 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Ha zenon_H1f6.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H9e | zenon_intro zenon_H216 ].
% 1.04/1.18 apply (zenon_L839_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H212 | zenon_intro zenon_H1f7 ].
% 1.04/1.18 apply (zenon_L170_); trivial.
% 1.04/1.18 exact (zenon_H1f6 zenon_H1f7).
% 1.04/1.18 (* end of lemma zenon_L845_ *)
% 1.04/1.18 assert (zenon_L846_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(hskp23)) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H20e zenon_H285 zenon_H1c4 zenon_H121 zenon_H219 zenon_H11c zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H299 zenon_H292 zenon_H290 zenon_Ha zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 1.04/1.18 apply (zenon_L845_); trivial.
% 1.04/1.18 apply (zenon_L623_); trivial.
% 1.04/1.18 (* end of lemma zenon_L846_ *)
% 1.04/1.18 assert (zenon_L847_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp15)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_He2 zenon_H168 zenon_H1d6 zenon_H199 zenon_He zenon_Hd zenon_Hc zenon_H167 zenon_H11e zenon_H1c6 zenon_H215 zenon_H290 zenon_H292 zenon_H299 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H121 zenon_H1c4 zenon_H285 zenon_H20e.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L846_); trivial.
% 1.04/1.18 apply (zenon_L844_); trivial.
% 1.04/1.18 (* end of lemma zenon_L847_ *)
% 1.04/1.18 assert (zenon_L848_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_He5 zenon_H215 zenon_H121 zenon_H285 zenon_H20e zenon_H1d6 zenon_Hb7 zenon_H290 zenon_H292 zenon_H299 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H11e zenon_H1c4 zenon_H1c6 zenon_H167 zenon_Hc zenon_Hd zenon_He zenon_H199 zenon_H168.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L841_); trivial.
% 1.04/1.18 apply (zenon_L844_); trivial.
% 1.04/1.18 apply (zenon_L847_); trivial.
% 1.04/1.18 (* end of lemma zenon_L848_ *)
% 1.04/1.18 assert (zenon_L849_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> (~(hskp23)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (ndr1_0) -> (~(hskp17)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H1c0 zenon_H11c zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H290 zenon_H292 zenon_H299 zenon_H219 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H17.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H9e | zenon_intro zenon_H1c1 ].
% 1.04/1.18 apply (zenon_L839_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ].
% 1.04/1.18 apply (zenon_L6_); trivial.
% 1.04/1.18 exact (zenon_H17 zenon_H18).
% 1.04/1.18 (* end of lemma zenon_L849_ *)
% 1.04/1.18 assert (zenon_L850_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H168 zenon_H199 zenon_H17c zenon_H17d zenon_H17e zenon_H4d zenon_H1e8 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H299 zenon_H292 zenon_H290 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H1c0.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L849_); trivial.
% 1.04/1.18 apply (zenon_L497_); trivial.
% 1.04/1.18 (* end of lemma zenon_L850_ *)
% 1.04/1.18 assert (zenon_L851_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c2_1 (a1457))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((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))))))\/(hskp27))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H169 zenon_H1d6 zenon_H199 zenon_He zenon_Hd zenon_Hc zenon_H290 zenon_H167 zenon_H1c zenon_H1d zenon_H1e zenon_H1e8 zenon_H4d zenon_H17e zenon_H17d zenon_H17c zenon_H292 zenon_H299 zenon_H2ac.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.04/1.18 apply (zenon_L500_); trivial.
% 1.04/1.18 apply (zenon_L843_); trivial.
% 1.04/1.18 (* end of lemma zenon_L851_ *)
% 1.04/1.18 assert (zenon_L852_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp27))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c2_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c0_1 (a1457))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c0_1 (a1429))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H168 zenon_H199 zenon_He zenon_Hd zenon_Hc zenon_H167 zenon_H2ac zenon_H299 zenon_H292 zenon_H17c zenon_H17d zenon_H17e zenon_H4d zenon_H1e8 zenon_H1e zenon_H1d zenon_H1c zenon_Ha zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H290 zenon_Hb5 zenon_Hb7 zenon_H1d6.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.04/1.18 apply (zenon_L500_); trivial.
% 1.04/1.18 apply (zenon_L840_); trivial.
% 1.04/1.18 apply (zenon_L851_); trivial.
% 1.04/1.18 (* end of lemma zenon_L852_ *)
% 1.04/1.18 assert (zenon_L853_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c2_1 (a1457))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> ((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))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_He2 zenon_H168 zenon_H1d6 zenon_H199 zenon_He zenon_Hd zenon_Hc zenon_H167 zenon_H1c zenon_H1d zenon_H1e zenon_H1e8 zenon_H4d zenon_H17e zenon_H17d zenon_H17c zenon_H2ac zenon_H215 zenon_H290 zenon_H292 zenon_H299 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H121 zenon_H1c4 zenon_H285 zenon_H20e.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L846_); trivial.
% 1.04/1.18 apply (zenon_L851_); trivial.
% 1.04/1.18 (* end of lemma zenon_L853_ *)
% 1.04/1.18 assert (zenon_L854_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((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))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H1a4 zenon_H2c zenon_H2ac zenon_H1c0 zenon_H1e8 zenon_H4d zenon_H168 zenon_H199 zenon_He zenon_Hd zenon_Hc zenon_H167 zenon_H1c6 zenon_H1c4 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H299 zenon_H292 zenon_H290 zenon_Hb7 zenon_H1d6 zenon_H20e zenon_H285 zenon_H121 zenon_H215 zenon_He5.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.18 apply (zenon_L848_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.04/1.18 apply (zenon_L850_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.18 apply (zenon_L852_); trivial.
% 1.04/1.18 apply (zenon_L853_); trivial.
% 1.04/1.18 (* end of lemma zenon_L854_ *)
% 1.04/1.18 assert (zenon_L855_ : ((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1448)) -> (c0_1 (a1448)) -> (~(c2_1 (a1448))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_He2 zenon_He6 zenon_H215 zenon_H207 zenon_H20a zenon_H20e zenon_H9d zenon_H165 zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H1e8 zenon_H4d zenon_H17e zenon_H17d zenon_H17c zenon_H299 zenon_H292 zenon_H290 zenon_H199 zenon_H168.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.18 apply (zenon_L498_); trivial.
% 1.04/1.18 apply (zenon_L678_); trivial.
% 1.04/1.18 (* end of lemma zenon_L855_ *)
% 1.04/1.18 assert (zenon_L856_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((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))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1448))) -> (c0_1 (a1448)) -> (c3_1 (a1448)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H19f zenon_H2c zenon_He5 zenon_H215 zenon_H207 zenon_H20a zenon_H20e zenon_H1d6 zenon_Hb7 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H2ac zenon_H167 zenon_H168 zenon_H199 zenon_H290 zenon_H292 zenon_H299 zenon_H4d zenon_H1e8 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H165 zenon_H9d zenon_H1c0 zenon_He6.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.04/1.18 apply (zenon_L499_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.18 apply (zenon_L852_); trivial.
% 1.04/1.18 apply (zenon_L855_); trivial.
% 1.04/1.18 (* end of lemma zenon_L856_ *)
% 1.04/1.18 assert (zenon_L857_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(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))))))\/(hskp27))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H207 zenon_H20a zenon_H8b zenon_H75 zenon_H165 zenon_H9d zenon_He6 zenon_H120 zenon_He5 zenon_H215 zenon_H121 zenon_H285 zenon_H20e zenon_H1d6 zenon_Hb7 zenon_H290 zenon_H292 zenon_H299 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H1c6 zenon_H167 zenon_H199 zenon_H168 zenon_H4d zenon_H1e8 zenon_H1c0 zenon_H2ac zenon_H2c zenon_H1a4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.18 apply (zenon_L854_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.18 apply (zenon_L496_); trivial.
% 1.04/1.18 apply (zenon_L856_); trivial.
% 1.04/1.18 (* end of lemma zenon_L857_ *)
% 1.04/1.18 assert (zenon_L858_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H120 zenon_H154 zenon_H292 zenon_H299 zenon_H290 zenon_Ha zenon_H11e.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H31 | zenon_intro zenon_H122 ].
% 1.04/1.18 apply (zenon_L494_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 1.04/1.18 apply (zenon_L415_); trivial.
% 1.04/1.18 exact (zenon_H11e zenon_H11f).
% 1.04/1.18 (* end of lemma zenon_L858_ *)
% 1.04/1.18 assert (zenon_L859_ : ((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(hskp15)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H1d1 zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H11e zenon_H290 zenon_H299 zenon_H292 zenon_H120.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_Ha. zenon_intro zenon_H1d3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c8. zenon_intro zenon_H1d4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1c9. zenon_intro zenon_H1ca.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.04/1.18 apply (zenon_L76_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.04/1.18 apply (zenon_L858_); trivial.
% 1.04/1.18 apply (zenon_L120_); trivial.
% 1.04/1.18 (* end of lemma zenon_L859_ *)
% 1.04/1.18 assert (zenon_L860_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H169 zenon_H1d6 zenon_H167 zenon_H290 zenon_H299 zenon_H292 zenon_H120 zenon_H11e zenon_H1c4 zenon_H1c6.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.04/1.18 apply (zenon_L119_); trivial.
% 1.04/1.18 apply (zenon_L859_); trivial.
% 1.04/1.18 (* end of lemma zenon_L860_ *)
% 1.04/1.18 assert (zenon_L861_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(hskp15)) -> (~(hskp13)) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_He5 zenon_H215 zenon_H121 zenon_H285 zenon_H20e zenon_H1d6 zenon_Hb7 zenon_H290 zenon_H292 zenon_H299 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H11e zenon_H1c4 zenon_H1c6 zenon_H120 zenon_H167 zenon_H168.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L841_); trivial.
% 1.04/1.18 apply (zenon_L860_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L846_); trivial.
% 1.04/1.18 apply (zenon_L860_); trivial.
% 1.04/1.18 (* end of lemma zenon_L861_ *)
% 1.04/1.18 assert (zenon_L862_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp23)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(hskp20)) -> (ndr1_0) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp18)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_Hb7 zenon_H11c zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H290 zenon_H292 zenon_H299 zenon_H219 zenon_H16f zenon_Ha zenon_H17c zenon_H17d zenon_H17e zenon_Ha9 zenon_H160 zenon_Hab zenon_H187 zenon_Hb5.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb8 ].
% 1.04/1.18 apply (zenon_L839_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb6 ].
% 1.04/1.18 apply (zenon_L138_); trivial.
% 1.04/1.18 exact (zenon_Hb5 zenon_Hb6).
% 1.04/1.18 (* end of lemma zenon_L862_ *)
% 1.04/1.18 assert (zenon_L863_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H168 zenon_H199 zenon_H167 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H299 zenon_H292 zenon_H290 zenon_Ha zenon_H187 zenon_H16f zenon_H17e zenon_H17d zenon_H17c zenon_Hab zenon_H160 zenon_Ha9 zenon_Hb5 zenon_Hb7.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L862_); trivial.
% 1.04/1.18 apply (zenon_L457_); trivial.
% 1.04/1.18 (* end of lemma zenon_L863_ *)
% 1.04/1.18 assert (zenon_L864_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H19b zenon_He6 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H165 zenon_H299 zenon_H292 zenon_H290 zenon_H199 zenon_H168.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L630_); trivial.
% 1.04/1.18 apply (zenon_L610_); trivial.
% 1.04/1.18 apply (zenon_L631_); trivial.
% 1.04/1.18 (* end of lemma zenon_L864_ *)
% 1.04/1.18 assert (zenon_L865_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (ndr1_0) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H19e zenon_He6 zenon_H165 zenon_Hb7 zenon_Hb5 zenon_Ha9 zenon_H160 zenon_Hab zenon_H17c zenon_H17d zenon_H17e zenon_H187 zenon_Ha zenon_H290 zenon_H292 zenon_H299 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H167 zenon_H199 zenon_H168.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.18 apply (zenon_L863_); trivial.
% 1.04/1.18 apply (zenon_L864_); trivial.
% 1.04/1.18 (* end of lemma zenon_L865_ *)
% 1.04/1.18 assert (zenon_L866_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (ndr1_0) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H168 zenon_H199 zenon_H187 zenon_H16f zenon_H17e zenon_H17d zenon_H17c zenon_Hab zenon_H160 zenon_Ha9 zenon_H167 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_Ha zenon_H290 zenon_H292 zenon_H299 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H121 zenon_H1c4 zenon_H285 zenon_H20e.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L846_); trivial.
% 1.04/1.18 apply (zenon_L457_); trivial.
% 1.04/1.18 (* end of lemma zenon_L866_ *)
% 1.04/1.18 assert (zenon_L867_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H19f zenon_He5 zenon_H20e zenon_H285 zenon_H1c4 zenon_H121 zenon_H215 zenon_H168 zenon_H199 zenon_H167 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H299 zenon_H292 zenon_H290 zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hb7 zenon_H165 zenon_He6 zenon_H19e.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.18 apply (zenon_L865_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.18 apply (zenon_L866_); trivial.
% 1.04/1.18 apply (zenon_L864_); trivial.
% 1.04/1.18 (* end of lemma zenon_L867_ *)
% 1.04/1.18 assert (zenon_L868_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H1a4 zenon_H199 zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_H165 zenon_He6 zenon_H19e zenon_H168 zenon_H167 zenon_H120 zenon_H1c6 zenon_H1c4 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H299 zenon_H292 zenon_H290 zenon_Hb7 zenon_H1d6 zenon_H20e zenon_H285 zenon_H121 zenon_H215 zenon_He5.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.18 apply (zenon_L861_); trivial.
% 1.04/1.18 apply (zenon_L867_); trivial.
% 1.04/1.18 (* end of lemma zenon_L868_ *)
% 1.04/1.18 assert (zenon_L869_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp15)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp23)) -> (ndr1_0) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(hskp5)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H68 zenon_H11e zenon_H290 zenon_H299 zenon_H292 zenon_H120 zenon_H11c zenon_Ha zenon_H2c1 zenon_H2b9 zenon_H2ba zenon_H121 zenon_H15.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H53 | zenon_intro zenon_H6b ].
% 1.04/1.18 apply (zenon_L416_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5d | zenon_intro zenon_H16 ].
% 1.04/1.18 apply (zenon_L616_); trivial.
% 1.04/1.18 exact (zenon_H15 zenon_H16).
% 1.04/1.18 (* end of lemma zenon_L869_ *)
% 1.04/1.18 assert (zenon_L870_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp9)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H299 zenon_H292 zenon_H290 zenon_H9e zenon_H99 zenon_Hab zenon_Ha9 zenon_H160 zenon_Ha zenon_H96 zenon_H84.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.04/1.18 apply (zenon_L76_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.04/1.18 apply (zenon_L445_); trivial.
% 1.04/1.18 apply (zenon_L697_); trivial.
% 1.04/1.18 (* end of lemma zenon_L870_ *)
% 1.04/1.18 assert (zenon_L871_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (~(hskp15)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H11e zenon_H290 zenon_H299 zenon_H292 zenon_H120 zenon_Hb zenon_Ha zenon_Ha9 zenon_Hab.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.04/1.18 apply (zenon_L76_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.04/1.18 apply (zenon_L858_); trivial.
% 1.04/1.18 apply (zenon_L43_); trivial.
% 1.04/1.18 (* end of lemma zenon_L871_ *)
% 1.04/1.18 assert (zenon_L872_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp9)) -> (~(hskp22)) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp15)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H169 zenon_H199 zenon_H84 zenon_H96 zenon_H160 zenon_H99 zenon_H167 zenon_H11e zenon_H290 zenon_H299 zenon_H292 zenon_H120 zenon_Ha9 zenon_Hab.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.04/1.18 apply (zenon_L76_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.04/1.18 apply (zenon_L870_); trivial.
% 1.04/1.18 apply (zenon_L871_); trivial.
% 1.04/1.18 (* end of lemma zenon_L872_ *)
% 1.04/1.18 assert (zenon_L873_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(hskp22)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H168 zenon_H199 zenon_H99 zenon_H84 zenon_H96 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H120 zenon_H11e zenon_H299 zenon_H292 zenon_H290 zenon_Ha zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H15 zenon_H68.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_L869_); trivial.
% 1.04/1.18 apply (zenon_L872_); trivial.
% 1.04/1.18 (* end of lemma zenon_L873_ *)
% 1.04/1.18 assert (zenon_L874_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a1468)) -> (c1_1 (a1468)) -> (~(c0_1 (a1468))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp15)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H169 zenon_H199 zenon_Ha1 zenon_Ha0 zenon_H9f zenon_H167 zenon_H11e zenon_H290 zenon_H299 zenon_H292 zenon_H120 zenon_Ha9 zenon_Hab.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.04/1.18 apply (zenon_L76_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.04/1.18 apply (zenon_L41_); trivial.
% 1.04/1.18 apply (zenon_L871_); trivial.
% 1.04/1.18 (* end of lemma zenon_L874_ *)
% 1.04/1.18 assert (zenon_L875_ : ((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1487)) -> (~(c2_1 (a1487))) -> (~(c1_1 (a1487))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(hskp6)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H209 zenon_H185 zenon_H8f zenon_H8e zenon_H8d zenon_H17e zenon_H17d zenon_H17c zenon_H20a zenon_Hab zenon_Ha9 zenon_H160 zenon_H207.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_Ha. zenon_intro zenon_H20b.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1fe. zenon_intro zenon_H20c.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H1ff. zenon_intro zenon_H200.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H8c | zenon_intro zenon_H186 ].
% 1.04/1.18 apply (zenon_L37_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17b | zenon_intro zenon_Ha8 ].
% 1.04/1.18 apply (zenon_L87_); trivial.
% 1.04/1.18 apply (zenon_L175_); trivial.
% 1.04/1.18 (* end of lemma zenon_L875_ *)
% 1.04/1.18 assert (zenon_L876_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> ((hskp30)\/(hskp24)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> (c1_1 (a1458)) -> (c0_1 (a1458)) -> (~(c2_1 (a1458))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H168 zenon_H199 zenon_H187 zenon_H16f zenon_H167 zenon_H8b zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H75 zenon_H215 zenon_Hd9 zenon_Hd0 zenon_Hcf zenon_H290 zenon_H292 zenon_H299 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H17c zenon_H17d zenon_H17e zenon_H20a zenon_H207 zenon_Hab zenon_Ha9 zenon_H160 zenon_H185 zenon_H20e zenon_H9d.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.04/1.18 apply (zenon_L126_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H209 ].
% 1.04/1.18 apply (zenon_L845_); trivial.
% 1.04/1.18 apply (zenon_L875_); trivial.
% 1.04/1.18 apply (zenon_L457_); trivial.
% 1.04/1.18 (* end of lemma zenon_L876_ *)
% 1.04/1.18 assert (zenon_L877_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((hskp30)\/(hskp24)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H19f zenon_He5 zenon_H9d zenon_H20e zenon_H185 zenon_H207 zenon_H20a zenon_H215 zenon_H75 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H121 zenon_H8b zenon_H168 zenon_H199 zenon_H167 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H299 zenon_H292 zenon_H290 zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_Hb7 zenon_H165 zenon_He6 zenon_H19e.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.18 apply (zenon_L865_); trivial.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.18 apply (zenon_L876_); trivial.
% 1.04/1.18 apply (zenon_L864_); trivial.
% 1.04/1.18 (* end of lemma zenon_L877_ *)
% 1.04/1.18 assert (zenon_L878_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(hskp15)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H145 zenon_H11e zenon_H290 zenon_H299 zenon_H292 zenon_H120 zenon_H12a zenon_H129 zenon_H128 zenon_H121 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_Ha zenon_H11c.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 1.04/1.18 apply (zenon_L416_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 1.04/1.18 apply (zenon_L70_); trivial.
% 1.04/1.18 apply (zenon_L616_); trivial.
% 1.04/1.18 (* end of lemma zenon_L878_ *)
% 1.04/1.18 assert (zenon_L879_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35)))))) -> (~(c1_1 (a1441))) -> (ndr1_0) -> (c0_1 (a1427)) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> False).
% 1.04/1.18 do 0 intro. intros zenon_H177 zenon_Ha8 zenon_Hab zenon_Ha9 zenon_H171 zenon_H160 zenon_Ha zenon_H2c1 zenon_H5d zenon_H2b9 zenon_H2ba.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H8c | zenon_intro zenon_H179 ].
% 1.04/1.18 apply (zenon_L79_); trivial.
% 1.04/1.18 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H154 | zenon_intro zenon_H78 ].
% 1.04/1.18 apply (zenon_L85_); trivial.
% 1.04/1.18 apply (zenon_L615_); trivial.
% 1.04/1.18 (* end of lemma zenon_L879_ *)
% 1.04/1.18 assert (zenon_L880_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (c0_1 (a1427)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H187 zenon_H2ba zenon_H2b9 zenon_H5d zenon_H2c1 zenon_H160 zenon_Ha9 zenon_Hab zenon_Ha8 zenon_H177 zenon_H1d9 zenon_H1d8 zenon_H31 zenon_H1d7 zenon_Ha zenon_H16f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 1.04/1.19 apply (zenon_L879_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H17b | zenon_intro zenon_H170 ].
% 1.04/1.19 apply (zenon_L150_); trivial.
% 1.04/1.19 exact (zenon_H16f zenon_H170).
% 1.04/1.19 (* end of lemma zenon_L880_ *)
% 1.04/1.19 assert (zenon_L881_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp20)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1427)) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H120 zenon_H16f zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H177 zenon_Ha8 zenon_Hab zenon_Ha9 zenon_H160 zenon_H2c1 zenon_H5d zenon_H2b9 zenon_H2ba zenon_H187 zenon_H292 zenon_H299 zenon_H290 zenon_Ha zenon_H11e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H31 | zenon_intro zenon_H122 ].
% 1.04/1.19 apply (zenon_L880_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H106 | zenon_intro zenon_H11f ].
% 1.04/1.19 apply (zenon_L415_); trivial.
% 1.04/1.19 exact (zenon_H11e zenon_H11f).
% 1.04/1.19 (* end of lemma zenon_L881_ *)
% 1.04/1.19 assert (zenon_L882_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp20)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H145 zenon_H12a zenon_H129 zenon_H128 zenon_H120 zenon_H16f zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H177 zenon_Ha8 zenon_Hab zenon_Ha9 zenon_H160 zenon_H2c1 zenon_H2b9 zenon_H2ba zenon_H187 zenon_H292 zenon_H299 zenon_H290 zenon_Ha zenon_H11e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 1.04/1.19 apply (zenon_L416_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 1.04/1.19 apply (zenon_L70_); trivial.
% 1.04/1.19 apply (zenon_L881_); trivial.
% 1.04/1.19 (* end of lemma zenon_L882_ *)
% 1.04/1.19 assert (zenon_L883_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp20)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(hskp15)) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H169 zenon_H167 zenon_H145 zenon_H12a zenon_H129 zenon_H128 zenon_H120 zenon_H16f zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H2c1 zenon_H2b9 zenon_H2ba zenon_H187 zenon_H292 zenon_H299 zenon_H290 zenon_H11e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.04/1.19 apply (zenon_L76_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.04/1.19 apply (zenon_L858_); trivial.
% 1.04/1.19 apply (zenon_L882_); trivial.
% 1.04/1.19 (* end of lemma zenon_L883_ *)
% 1.04/1.19 assert (zenon_L884_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H168 zenon_H167 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H16f zenon_H187 zenon_H120 zenon_H11e zenon_H299 zenon_H292 zenon_H290 zenon_Ha zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H145.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L878_); trivial.
% 1.04/1.19 apply (zenon_L883_); trivial.
% 1.04/1.19 (* end of lemma zenon_L884_ *)
% 1.04/1.19 assert (zenon_L885_ : ((ndr1_0)/\((c0_1 (a1441))/\((c3_1 (a1441))/\(~(c1_1 (a1441)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a1444)))/\((~(c2_1 (a1444)))/\(~(c3_1 (a1444))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H1a9 zenon_H1a8 zenon_H177 zenon_H145 zenon_H1a4 zenon_H199 zenon_H187 zenon_H165 zenon_He6 zenon_H19e zenon_H168 zenon_H167 zenon_H120 zenon_H1c6 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H299 zenon_H292 zenon_H290 zenon_Hb7 zenon_H1d6 zenon_H20e zenon_H285 zenon_H121 zenon_H215 zenon_He5 zenon_H68 zenon_H15 zenon_H99 zenon_H8b zenon_H75 zenon_H20a zenon_H207 zenon_H185 zenon_H9d zenon_H1ea.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L868_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_L873_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L869_); trivial.
% 1.04/1.19 apply (zenon_L874_); trivial.
% 1.04/1.19 apply (zenon_L877_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L868_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L884_); trivial.
% 1.04/1.19 apply (zenon_L864_); trivial.
% 1.04/1.19 apply (zenon_L877_); trivial.
% 1.04/1.19 (* end of lemma zenon_L885_ *)
% 1.04/1.19 assert (zenon_L886_ : ((ndr1_0)/\((c0_1 (a1448))/\((c3_1 (a1448))/\(~(c2_1 (a1448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H120 zenon_He5 zenon_H215 zenon_H121 zenon_H285 zenon_H20e zenon_H1d6 zenon_Hb7 zenon_H290 zenon_H292 zenon_H299 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H1c6 zenon_H167 zenon_H199 zenon_H168 zenon_H187 zenon_H229 zenon_H228 zenon_H227 zenon_H4d zenon_H1e8 zenon_H19e zenon_H1a4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L848_); trivial.
% 1.04/1.19 apply (zenon_L251_); trivial.
% 1.04/1.19 apply (zenon_L553_); trivial.
% 1.04/1.19 (* end of lemma zenon_L886_ *)
% 1.04/1.19 assert (zenon_L887_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp9)) -> (~(hskp22)) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a1465)) -> (c2_1 (a1465)) -> (~(c1_1 (a1465))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H169 zenon_H199 zenon_H84 zenon_H96 zenon_H160 zenon_H99 zenon_H290 zenon_H292 zenon_H299 zenon_H167 zenon_H194 zenon_H18d zenon_H18c zenon_Ha9 zenon_Hab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.04/1.19 apply (zenon_L76_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.04/1.19 apply (zenon_L870_); trivial.
% 1.04/1.19 apply (zenon_L184_); trivial.
% 1.04/1.19 (* end of lemma zenon_L887_ *)
% 1.04/1.19 assert (zenon_L888_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19b zenon_He6 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H84 zenon_H99 zenon_H299 zenon_H292 zenon_H290 zenon_H199 zenon_H168.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L630_); trivial.
% 1.04/1.19 apply (zenon_L887_); trivial.
% 1.04/1.19 apply (zenon_L631_); trivial.
% 1.04/1.19 (* end of lemma zenon_L888_ *)
% 1.04/1.19 assert (zenon_L889_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c2_1 (a1458))) -> (c0_1 (a1458)) -> (c1_1 (a1458)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19b zenon_He6 zenon_H20e zenon_H285 zenon_H1c4 zenon_H121 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H299 zenon_H292 zenon_H290 zenon_Hcf zenon_Hd0 zenon_Hd9 zenon_H215 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H84 zenon_H99 zenon_H199 zenon_H168.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L846_); trivial.
% 1.04/1.19 apply (zenon_L887_); trivial.
% 1.04/1.19 apply (zenon_L631_); trivial.
% 1.04/1.19 (* end of lemma zenon_L889_ *)
% 1.04/1.19 assert (zenon_L890_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H1a4 zenon_H199 zenon_H187 zenon_Hab zenon_H160 zenon_Ha9 zenon_H99 zenon_H84 zenon_He6 zenon_H19e zenon_H168 zenon_H167 zenon_H120 zenon_H1c6 zenon_H1c4 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H299 zenon_H292 zenon_H290 zenon_Hb7 zenon_H1d6 zenon_H20e zenon_H285 zenon_H121 zenon_H215 zenon_He5.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L861_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L863_); trivial.
% 1.04/1.19 apply (zenon_L888_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L866_); trivial.
% 1.04/1.19 apply (zenon_L889_); trivial.
% 1.04/1.19 (* end of lemma zenon_L890_ *)
% 1.04/1.19 assert (zenon_L891_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp9)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19f zenon_H19e zenon_He6 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H84 zenon_H99 zenon_H299 zenon_H292 zenon_H290 zenon_H199 zenon_H168 zenon_H227 zenon_H228 zenon_H229 zenon_H187.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L250_); trivial.
% 1.04/1.19 apply (zenon_L888_); trivial.
% 1.04/1.19 (* end of lemma zenon_L891_ *)
% 1.04/1.19 assert (zenon_L892_ : ((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))))))\/(hskp27))) -> (~(c2_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c0_1 (a1457))) -> (~(hskp22)) -> (ndr1_0) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1477))) -> (~(c1_1 (a1477))) -> (c2_1 (a1477)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp27)) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H2ac zenon_H1e zenon_H1d zenon_H1c zenon_H96 zenon_Ha zenon_Ha9 zenon_Hab zenon_H160 zenon_H165 zenon_H299 zenon_H292 zenon_H14b zenon_H14c zenon_H14d zenon_H167 zenon_H1c2.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1b | zenon_intro zenon_H2ad ].
% 1.04/1.19 apply (zenon_L10_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1c3 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.04/1.19 apply (zenon_L76_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.04/1.19 apply (zenon_L419_); trivial.
% 1.04/1.19 apply (zenon_L80_); trivial.
% 1.04/1.19 exact (zenon_H1c2 zenon_H1c3).
% 1.04/1.19 (* end of lemma zenon_L892_ *)
% 1.04/1.19 assert (zenon_L893_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a1452)) -> (c0_1 (a1452)) -> (~(c3_1 (a1452))) -> (~(c0_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c2_1 (a1457))) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((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))))))\/(hskp27))) -> ((hskp30)\/(hskp24)) -> (~(c1_1 (a1465))) -> (c2_1 (a1465)) -> (c3_1 (a1465)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H169 zenon_H9d zenon_H1d6 zenon_H185 zenon_H17e zenon_H17d zenon_H17c zenon_H1c zenon_H1d zenon_H1e zenon_H96 zenon_H165 zenon_H292 zenon_H299 zenon_H2ac zenon_H75 zenon_H18c zenon_H18d zenon_H194 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H8b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.04/1.19 apply (zenon_L691_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.04/1.19 apply (zenon_L892_); trivial.
% 1.04/1.19 apply (zenon_L501_); trivial.
% 1.04/1.19 (* end of lemma zenon_L893_ *)
% 1.04/1.19 assert (zenon_L894_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((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))))))\/(hskp27))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (~(c2_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c0_1 (a1457))) -> (~(c3_1 (a1452))) -> (c0_1 (a1452)) -> (c1_1 (a1452)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H8b zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H75 zenon_H2ac zenon_H299 zenon_H292 zenon_H165 zenon_H1e zenon_H1d zenon_H1c zenon_H17c zenon_H17d zenon_H17e zenon_H185 zenon_H1d6 zenon_H9d zenon_H168.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L630_); trivial.
% 1.04/1.19 apply (zenon_L893_); trivial.
% 1.04/1.19 apply (zenon_L631_); trivial.
% 1.04/1.19 (* end of lemma zenon_L894_ *)
% 1.04/1.19 assert (zenon_L895_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> ((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))))))\/(hskp27))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp21))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1437)) -> (~(c2_1 (a1437))) -> (~(c1_1 (a1437))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a1466))/\((c2_1 (a1466))/\(~(c1_1 (a1466))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19f zenon_H2c zenon_H19e zenon_He6 zenon_H199 zenon_H219 zenon_H8b zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H75 zenon_H2ac zenon_H299 zenon_H292 zenon_H165 zenon_H185 zenon_H1d6 zenon_H9d zenon_H168 zenon_H187 zenon_H2cd zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H229 zenon_H228 zenon_H227 zenon_H128 zenon_H129 zenon_H12a zenon_H2cf zenon_He7.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.04/1.19 apply (zenon_L663_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L250_); trivial.
% 1.04/1.19 apply (zenon_L894_); trivial.
% 1.04/1.19 (* end of lemma zenon_L895_ *)
% 1.04/1.19 assert (zenon_L896_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp20)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(hskp15)) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H9e zenon_H145 zenon_H12a zenon_H129 zenon_H128 zenon_H120 zenon_H16f zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H2c1 zenon_H2b9 zenon_H2ba zenon_H187 zenon_H292 zenon_H299 zenon_H290 zenon_Ha zenon_H11e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.04/1.19 apply (zenon_L76_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.04/1.19 apply (zenon_L445_); trivial.
% 1.04/1.19 apply (zenon_L882_); trivial.
% 1.04/1.19 (* end of lemma zenon_L896_ *)
% 1.04/1.19 assert (zenon_L897_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a1477)) -> (~(c1_1 (a1477))) -> (~(c0_1 (a1477))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H167 zenon_H14d zenon_H14c zenon_H14b zenon_H292 zenon_H299 zenon_H1f2 zenon_Hb zenon_Ha zenon_Ha9 zenon_Hab.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.04/1.19 apply (zenon_L76_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.04/1.19 apply (zenon_L419_); trivial.
% 1.04/1.19 apply (zenon_L43_); trivial.
% 1.04/1.19 (* end of lemma zenon_L897_ *)
% 1.04/1.19 assert (zenon_L898_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> (~(c0_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c2_1 (a1457))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp27))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (ndr1_0) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H168 zenon_H1d6 zenon_H1c zenon_H1d zenon_H1e zenon_H199 zenon_H187 zenon_H16f zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H167 zenon_H2ac zenon_H120 zenon_H11e zenon_H299 zenon_H292 zenon_H290 zenon_Ha zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H145.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L878_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1b | zenon_intro zenon_H2ad ].
% 1.04/1.19 apply (zenon_L10_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1c3 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ].
% 1.04/1.19 apply (zenon_L76_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb ].
% 1.04/1.19 apply (zenon_L896_); trivial.
% 1.04/1.19 apply (zenon_L897_); trivial.
% 1.04/1.19 exact (zenon_H1c2 zenon_H1c3).
% 1.04/1.19 apply (zenon_L859_); trivial.
% 1.04/1.19 (* end of lemma zenon_L898_ *)
% 1.04/1.19 assert (zenon_L899_ : ((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> (~(c0_1 (a1429))) -> (~(hskp15)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(c0_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c2_1 (a1457))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((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))))))\/(hskp27))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H169 zenon_H1d6 zenon_H290 zenon_H11e zenon_H120 zenon_H1c zenon_H1d zenon_H1e zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H96 zenon_H165 zenon_H292 zenon_H299 zenon_H2ac.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1d1 ].
% 1.04/1.19 apply (zenon_L892_); trivial.
% 1.04/1.19 apply (zenon_L859_); trivial.
% 1.04/1.19 (* end of lemma zenon_L899_ *)
% 1.04/1.19 assert (zenon_L900_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((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))))))\/(hskp27))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a1457))) -> (~(c1_1 (a1457))) -> (~(c0_1 (a1457))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a1429))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19b zenon_He6 zenon_H199 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H2ac zenon_H299 zenon_H292 zenon_H165 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H1e zenon_H1d zenon_H1c zenon_H120 zenon_H11e zenon_H290 zenon_H1d6 zenon_H168.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L630_); trivial.
% 1.04/1.19 apply (zenon_L899_); trivial.
% 1.04/1.19 apply (zenon_L631_); trivial.
% 1.04/1.19 (* end of lemma zenon_L900_ *)
% 1.04/1.19 assert (zenon_L901_ : ((ndr1_0)/\((~(c0_1 (a1457)))/\((~(c1_1 (a1457)))/\(~(c2_1 (a1457)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10))))))\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(hskp15)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(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))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H27 zenon_H19e zenon_He6 zenon_H219 zenon_H165 zenon_H145 zenon_H2b9 zenon_H2ba zenon_H2c1 zenon_H121 zenon_H12a zenon_H129 zenon_H128 zenon_H290 zenon_H292 zenon_H299 zenon_H11e zenon_H120 zenon_H2ac zenon_H167 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H187 zenon_H199 zenon_H1d6 zenon_H168.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_Ha. zenon_intro zenon_H29.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1c. zenon_intro zenon_H2a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H1d. zenon_intro zenon_H1e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L898_); trivial.
% 1.04/1.19 apply (zenon_L900_); trivial.
% 1.04/1.19 (* end of lemma zenon_L901_ *)
% 1.04/1.19 assert (zenon_L902_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp8)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (c2_1 (a1451)) -> (~(c3_1 (a1451))) -> (~(c1_1 (a1451))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19f zenon_H1ba zenon_H4d zenon_H290 zenon_H299 zenon_H292 zenon_H1e8 zenon_H60 zenon_H5f zenon_H5e zenon_H1ad zenon_H1ae zenon_H1af.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H154 | zenon_intro zenon_H1e9 ].
% 1.04/1.19 apply (zenon_L494_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17b | zenon_intro zenon_H4e ].
% 1.04/1.19 apply (zenon_L87_); trivial.
% 1.04/1.19 exact (zenon_H4d zenon_H4e).
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 1.04/1.19 apply (zenon_L25_); trivial.
% 1.04/1.19 apply (zenon_L104_); trivial.
% 1.04/1.19 (* end of lemma zenon_L902_ *)
% 1.04/1.19 assert (zenon_L903_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> ((hskp15)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1428))/\((c2_1 (a1428))/\(c3_1 (a1428)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1456))/\((c1_1 (a1456))/\(c3_1 (a1456)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c2_1 X38)\/((~(c0_1 X38))\/(~(c1_1 X38))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1458))/\((c1_1 (a1458))/\(~(c2_1 (a1458))))))) -> (~(hskp8)) -> (~(hskp12)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H6c zenon_H1a4 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H1e8 zenon_H168 zenon_H167 zenon_H120 zenon_H1c6 zenon_H1c4 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H299 zenon_H292 zenon_H290 zenon_Hb7 zenon_H1d6 zenon_H20e zenon_H285 zenon_H121 zenon_H215 zenon_He5 zenon_H4d zenon_H1 zenon_H51.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L23_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L861_); trivial.
% 1.04/1.19 apply (zenon_L902_); trivial.
% 1.04/1.19 (* end of lemma zenon_L903_ *)
% 1.04/1.19 assert (zenon_L904_ : ((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp8)) -> (~(c3_1 (a1449))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H67 zenon_H1ba zenon_H4d zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H290 zenon_H299 zenon_H292 zenon_H1e8 zenon_H1ad zenon_H1ae zenon_H1af.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 1.04/1.19 apply (zenon_L495_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 1.04/1.19 apply (zenon_L25_); trivial.
% 1.04/1.19 apply (zenon_L104_); trivial.
% 1.04/1.19 (* end of lemma zenon_L904_ *)
% 1.04/1.19 assert (zenon_L905_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a1451))/\((~(c1_1 (a1451)))/\(~(c3_1 (a1451))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c0_1 (a1429))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((hskp8)\/((hskp12)\/(hskp14))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H1eb zenon_H6c zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H290 zenon_H299 zenon_H292 zenon_H1e8 zenon_H4d zenon_H1 zenon_H51.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L23_); trivial.
% 1.04/1.19 apply (zenon_L904_); trivial.
% 1.04/1.19 (* end of lemma zenon_L905_ *)
% 1.04/1.19 assert (zenon_L906_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((hskp22)\/(hskp9))) -> (~(hskp9)) -> (~(hskp22)) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (ndr1_0) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H168 zenon_H199 zenon_H120 zenon_H11e zenon_H290 zenon_H292 zenon_H299 zenon_H99 zenon_H84 zenon_H96 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L684_); trivial.
% 1.04/1.19 apply (zenon_L872_); trivial.
% 1.04/1.19 (* end of lemma zenon_L906_ *)
% 1.04/1.19 assert (zenon_L907_ : ((ndr1_0)/\((c1_1 (a1468))/\((c3_1 (a1468))/\(~(c0_1 (a1468)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1449)) -> (c1_1 (a1449)) -> (~(c3_1 (a1449))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_Hb9 zenon_H168 zenon_H199 zenon_H120 zenon_H11e zenon_H292 zenon_H299 zenon_H290 zenon_Ha9 zenon_Hab zenon_H167 zenon_H121 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L684_); trivial.
% 1.04/1.19 apply (zenon_L874_); trivial.
% 1.04/1.19 (* end of lemma zenon_L907_ *)
% 1.04/1.19 assert (zenon_L908_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (ndr1_0) -> (~(hskp23)) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H145 zenon_H1af zenon_H1ae zenon_H1ad zenon_H290 zenon_H292 zenon_H299 zenon_H1ba zenon_H12a zenon_H129 zenon_H128 zenon_H121 zenon_H2ba zenon_H2b9 zenon_H2c1 zenon_Ha zenon_H11c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 1.04/1.19 apply (zenon_L414_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 1.04/1.19 apply (zenon_L616_); trivial.
% 1.04/1.19 apply (zenon_L104_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 1.04/1.19 apply (zenon_L70_); trivial.
% 1.04/1.19 apply (zenon_L616_); trivial.
% 1.04/1.19 (* end of lemma zenon_L908_ *)
% 1.04/1.19 assert (zenon_L909_ : ((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19b zenon_H168 zenon_H167 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H299 zenon_H292 zenon_H290 zenon_H128 zenon_H129 zenon_H12a zenon_H145 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L630_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Ha. zenon_intro zenon_H16a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H16b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H14b. zenon_intro zenon_H14c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.04/1.19 apply (zenon_L76_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.04/1.19 apply (zenon_L143_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H53 | zenon_intro zenon_H148 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H31 | zenon_intro zenon_H1bb ].
% 1.04/1.19 apply (zenon_L414_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H5d | zenon_intro zenon_H1ac ].
% 1.04/1.19 apply (zenon_L776_); trivial.
% 1.04/1.19 apply (zenon_L104_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H5d ].
% 1.04/1.19 apply (zenon_L70_); trivial.
% 1.04/1.19 apply (zenon_L776_); trivial.
% 1.04/1.19 (* end of lemma zenon_L909_ *)
% 1.04/1.19 assert (zenon_L910_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> (~(c0_1 (a1429))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> ((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/(hskp23))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> (~(c3_1 (a1427))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (c3_1 (a1441)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((~(c0_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19f zenon_H19e zenon_H177 zenon_H219 zenon_H145 zenon_H12a zenon_H129 zenon_H128 zenon_H290 zenon_H292 zenon_H299 zenon_H121 zenon_H2c1 zenon_H2ba zenon_H2b9 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H167 zenon_Ha9 zenon_H160 zenon_Hab zenon_H187 zenon_H199 zenon_H168.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L908_); trivial.
% 1.04/1.19 apply (zenon_L457_); trivial.
% 1.04/1.19 apply (zenon_L909_); trivial.
% 1.04/1.19 (* end of lemma zenon_L910_ *)
% 1.04/1.19 assert (zenon_L911_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (c1_1 (a1449)) -> (c2_1 (a1449)) -> ((hskp30)\/(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19f zenon_H19e zenon_H168 zenon_H9d zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H1d8 zenon_H1d9 zenon_H75 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H167 zenon_H8b zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H227 zenon_H228 zenon_H229 zenon_H187.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L250_); trivial.
% 1.04/1.19 apply (zenon_L694_); trivial.
% 1.04/1.19 (* end of lemma zenon_L911_ *)
% 1.04/1.19 assert (zenon_L912_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1507))/\((c1_1 (a1507))/\(c2_1 (a1507)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> ((hskp30)\/(hskp24)) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1487))/\((~(c1_1 (a1487)))/\(~(c2_1 (a1487))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H1eb zenon_H1a4 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H8b zenon_H167 zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H75 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H9d zenon_H168 zenon_H19e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L551_); trivial.
% 1.04/1.19 apply (zenon_L694_); trivial.
% 1.04/1.19 apply (zenon_L911_); trivial.
% 1.04/1.19 (* end of lemma zenon_L912_ *)
% 1.04/1.19 assert (zenon_L913_ : ((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a1435)) -> (~(c3_1 (a1435))) -> (~(c2_1 (a1435))) -> (~(c1_1 (a1441))) -> (c0_1 (a1441)) -> (c3_1 (a1441)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c2_1 (a1429)) -> (c3_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c1_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c3_1 (a1444))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1427))) -> (c0_1 (a1427)) -> (c2_1 (a1427)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H19f zenon_H19e zenon_H168 zenon_H167 zenon_H1ba zenon_H1af zenon_H1ae zenon_H1ad zenon_H160 zenon_Ha9 zenon_Hab zenon_H177 zenon_H299 zenon_H292 zenon_H290 zenon_H128 zenon_H129 zenon_H12a zenon_H145 zenon_H2b9 zenon_H2c1 zenon_H2ba zenon_H219 zenon_H227 zenon_H228 zenon_H229 zenon_H187.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L250_); trivial.
% 1.04/1.19 apply (zenon_L909_); trivial.
% 1.04/1.19 (* end of lemma zenon_L913_ *)
% 1.04/1.19 assert (zenon_L914_ : ((ndr1_0)/\((c1_1 (a1449))/\((c2_1 (a1449))/\(~(c3_1 (a1449)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1452))/\((c1_1 (a1452))/\(~(c3_1 (a1452))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp15))) -> (c3_1 (a1429)) -> (c2_1 (a1429)) -> (~(c0_1 (a1429))) -> (~(c1_1 (a1437))) -> (~(c2_1 (a1437))) -> (c0_1 (a1437)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c0_1 X35))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c3_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c3_1 X71)\/((~(c0_1 X71))\/(~(c2_1 X71))))))\/(hskp23))) -> (c2_1 (a1427)) -> (c0_1 (a1427)) -> (~(c3_1 (a1427))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(c3_1 X6)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))))) -> (~(c3_1 (a1444))) -> (~(c2_1 (a1444))) -> (~(c1_1 (a1444))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c2_1 X74)\/(~(c3_1 X74))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c2_1 X76)))))))) -> (c3_1 (a1441)) -> (c0_1 (a1441)) -> (~(c1_1 (a1441))) -> (~(c2_1 (a1435))) -> (~(c3_1 (a1435))) -> (c0_1 (a1435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a1477))/\((~(c0_1 (a1477)))/\(~(c1_1 (a1477))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1465))/\((c3_1 (a1465))/\(~(c1_1 (a1465))))))) -> False).
% 1.04/1.19 do 0 intro. intros zenon_H1eb zenon_H1a4 zenon_H120 zenon_H292 zenon_H299 zenon_H290 zenon_H227 zenon_H228 zenon_H229 zenon_H187 zenon_H219 zenon_H2ba zenon_H2c1 zenon_H2b9 zenon_H145 zenon_H12a zenon_H129 zenon_H128 zenon_H177 zenon_Hab zenon_Ha9 zenon_H160 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1ba zenon_H167 zenon_H168 zenon_H19e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L551_); trivial.
% 1.04/1.19 apply (zenon_L909_); trivial.
% 1.04/1.19 apply (zenon_L913_); trivial.
% 1.04/1.19 (* end of lemma zenon_L914_ *)
% 1.04/1.19 apply NNPP. intro zenon_G.
% 1.04/1.19 apply zenon_G. zenon_intro zenon_H2d3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H2d5. zenon_intro zenon_H2d4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H2d7. zenon_intro zenon_H2d6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H2d9. zenon_intro zenon_H2d8.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H2db. zenon_intro zenon_H2da.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dd. zenon_intro zenon_H2dc.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H2df. zenon_intro zenon_H2de.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H25d. zenon_intro zenon_H2e2.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H1a7. zenon_intro zenon_H2e3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H1a8. zenon_intro zenon_H2e4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H233. zenon_intro zenon_H2e5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1a3. zenon_intro zenon_H2e6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H72. zenon_intro zenon_H2e7.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ea. zenon_intro zenon_H2e8.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H6c. zenon_intro zenon_H2e9.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H1a4. zenon_intro zenon_H2ea.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2ec. zenon_intro zenon_H2eb.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2c. zenon_intro zenon_H2ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_He5. zenon_intro zenon_H2ee.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H19e. zenon_intro zenon_H2f1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_He7. zenon_intro zenon_H2f2.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_He6. zenon_intro zenon_H2f3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H168. zenon_intro zenon_H2f4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H9d. zenon_intro zenon_H2f5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H4c. zenon_intro zenon_H2f6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H149. zenon_intro zenon_H2f7.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1d6. zenon_intro zenon_H2f8.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H20e. zenon_intro zenon_H2f9.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H124. zenon_intro zenon_H2fa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H8b. zenon_intro zenon_H2fb.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H2d1. zenon_intro zenon_H2fc.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H1bc. zenon_intro zenon_H2fd.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H2ac. zenon_intro zenon_H2fe.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H28. zenon_intro zenon_H2ff.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H301. zenon_intro zenon_H300.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H199. zenon_intro zenon_H304.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H2aa. zenon_intro zenon_H305.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H167. zenon_intro zenon_H306.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H289. zenon_intro zenon_H307.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H145. zenon_intro zenon_H308.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H68. zenon_intro zenon_H309.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H6e. zenon_intro zenon_H30a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30c. zenon_intro zenon_H30b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_Hfa. zenon_intro zenon_H30d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H23e. zenon_intro zenon_H30e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H24a. zenon_intro zenon_H30f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H25b. zenon_intro zenon_H310.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H276. zenon_intro zenon_H311.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H283. zenon_intro zenon_H312.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H27f. zenon_intro zenon_H313.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H15e. zenon_intro zenon_H314.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H316. zenon_intro zenon_H315.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H318. zenon_intro zenon_H317.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H142. zenon_intro zenon_H319.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H120. zenon_intro zenon_H31a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H48. zenon_intro zenon_H31b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H1ba. zenon_intro zenon_H31c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31e. zenon_intro zenon_H31d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H215. zenon_intro zenon_H31f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H1c0. zenon_intro zenon_H320.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_Hb7. zenon_intro zenon_H321.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H323. zenon_intro zenon_H322.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H2ae. zenon_intro zenon_H324.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H2b0. zenon_intro zenon_H325.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H2cf. zenon_intro zenon_H326.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H287. zenon_intro zenon_H327.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H187. zenon_intro zenon_H328.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H2cd. zenon_intro zenon_H329.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H32b. zenon_intro zenon_H32a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H177. zenon_intro zenon_H32c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H165. zenon_intro zenon_H32d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H185. zenon_intro zenon_H32e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H20a. zenon_intro zenon_H32f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H99. zenon_intro zenon_H330.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H285. zenon_intro zenon_H331.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Hcb. zenon_intro zenon_H332.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H1f8. zenon_intro zenon_H333.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H1e8. zenon_intro zenon_H334.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H219. zenon_intro zenon_H335.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H178. zenon_intro zenon_H336.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H28b. zenon_intro zenon_H337.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H1d2. zenon_intro zenon_H338.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H33a. zenon_intro zenon_H339.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1b8. zenon_intro zenon_H33b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H1be. zenon_intro zenon_H33c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H248. zenon_intro zenon_H33d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H33f. zenon_intro zenon_H33e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_He0. zenon_intro zenon_H340.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H19. zenon_intro zenon_H341.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H189. zenon_intro zenon_H342.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H344. zenon_intro zenon_H343.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H2cb. zenon_intro zenon_H345.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H121. zenon_intro zenon_H346.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H87. zenon_intro zenon_H347.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H217. zenon_intro zenon_H348.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H34a. zenon_intro zenon_H349.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34c. zenon_intro zenon_H34b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H75. zenon_intro zenon_H34d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H1c6. zenon_intro zenon_H34e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H101. zenon_intro zenon_H34f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H51. zenon_intro zenon_H350.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H352. zenon_intro zenon_H351.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H7. zenon_intro zenon_H353.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H2f. zenon_intro zenon_H354.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H355 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H5 | zenon_intro zenon_H356 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H25 | zenon_intro zenon_H357 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_Hde | zenon_intro zenon_H358 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H359 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L4_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.19 apply (zenon_L13_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.04/1.19 apply (zenon_L20_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_L103_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L106_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L137_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L189_); trivial.
% 1.04/1.19 apply (zenon_L61_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L201_); trivial.
% 1.04/1.19 apply (zenon_L101_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L106_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L137_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L208_); trivial.
% 1.04/1.19 apply (zenon_L61_); trivial.
% 1.04/1.19 apply (zenon_L211_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Ha. zenon_intro zenon_H35d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H236. zenon_intro zenon_H35e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H237. zenon_intro zenon_H235.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L214_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L29_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_L217_); trivial.
% 1.04/1.19 apply (zenon_L102_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L231_); trivial.
% 1.04/1.19 apply (zenon_L239_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L110_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L243_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L135_); trivial.
% 1.04/1.19 apply (zenon_L248_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_L136_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L189_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_L249_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L257_); trivial.
% 1.04/1.19 apply (zenon_L239_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L258_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L208_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_L211_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H35f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H254. zenon_intro zenon_H360.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H252. zenon_intro zenon_H253.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H359 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_L264_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L106_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_L115_); trivial.
% 1.04/1.19 apply (zenon_L270_); trivial.
% 1.04/1.19 apply (zenon_L271_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Ha. zenon_intro zenon_H35d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H236. zenon_intro zenon_H35e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H237. zenon_intro zenon_H235.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_L264_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L231_); trivial.
% 1.04/1.19 apply (zenon_L271_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L110_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L266_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L269_); trivial.
% 1.04/1.19 apply (zenon_L248_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_L270_); trivial.
% 1.04/1.19 apply (zenon_L271_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Ha. zenon_intro zenon_H361.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H26f. zenon_intro zenon_H362.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H26d. zenon_intro zenon_H26e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_Hde | zenon_intro zenon_H358 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H359 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L274_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L278_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L4_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L293_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_L154_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.04/1.19 apply (zenon_L126_); trivial.
% 1.04/1.19 apply (zenon_L276_); trivial.
% 1.04/1.19 apply (zenon_L163_); trivial.
% 1.04/1.19 apply (zenon_L296_); trivial.
% 1.04/1.19 apply (zenon_L285_); trivial.
% 1.04/1.19 apply (zenon_L303_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L306_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.04/1.19 apply (zenon_L311_); trivial.
% 1.04/1.19 apply (zenon_L39_); trivial.
% 1.04/1.19 apply (zenon_L312_); trivial.
% 1.04/1.19 apply (zenon_L313_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L306_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 1.04/1.19 apply (zenon_L192_); trivial.
% 1.04/1.19 apply (zenon_L317_); trivial.
% 1.04/1.19 apply (zenon_L19_); trivial.
% 1.04/1.19 apply (zenon_L312_); trivial.
% 1.04/1.19 apply (zenon_L313_); trivial.
% 1.04/1.19 apply (zenon_L329_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_L334_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 1.04/1.19 apply (zenon_L336_); trivial.
% 1.04/1.19 apply (zenon_L19_); trivial.
% 1.04/1.19 apply (zenon_L337_); trivial.
% 1.04/1.19 apply (zenon_L283_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.04/1.19 apply (zenon_L311_); trivial.
% 1.04/1.19 apply (zenon_L337_); trivial.
% 1.04/1.19 apply (zenon_L312_); trivial.
% 1.04/1.19 apply (zenon_L313_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L338_); trivial.
% 1.04/1.19 apply (zenon_L340_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L140_); trivial.
% 1.04/1.19 apply (zenon_L340_); trivial.
% 1.04/1.19 apply (zenon_L329_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L29_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L341_); trivial.
% 1.04/1.19 apply (zenon_L344_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_L154_); trivial.
% 1.04/1.19 apply (zenon_L46_); trivial.
% 1.04/1.19 apply (zenon_L347_); trivial.
% 1.04/1.19 apply (zenon_L55_); trivial.
% 1.04/1.19 apply (zenon_L26_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 1.04/1.19 apply (zenon_L336_); trivial.
% 1.04/1.19 apply (zenon_L348_); trivial.
% 1.04/1.19 apply (zenon_L349_); trivial.
% 1.04/1.19 apply (zenon_L350_); trivial.
% 1.04/1.19 apply (zenon_L46_); trivial.
% 1.04/1.19 apply (zenon_L55_); trivial.
% 1.04/1.19 apply (zenon_L344_); trivial.
% 1.04/1.19 apply (zenon_L26_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L274_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L273_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L4_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L293_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L351_); trivial.
% 1.04/1.19 apply (zenon_L285_); trivial.
% 1.04/1.19 apply (zenon_L352_); trivial.
% 1.04/1.19 apply (zenon_L355_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L357_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L341_); trivial.
% 1.04/1.19 apply (zenon_L359_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L360_); trivial.
% 1.04/1.19 apply (zenon_L55_); trivial.
% 1.04/1.19 apply (zenon_L352_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H2d | zenon_intro zenon_H47 ].
% 1.04/1.19 apply (zenon_L354_); trivial.
% 1.04/1.19 apply (zenon_L348_); trivial.
% 1.04/1.19 apply (zenon_L349_); trivial.
% 1.04/1.19 apply (zenon_L350_); trivial.
% 1.04/1.19 apply (zenon_L46_); trivial.
% 1.04/1.19 apply (zenon_L55_); trivial.
% 1.04/1.19 apply (zenon_L359_); trivial.
% 1.04/1.19 apply (zenon_L26_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L106_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L376_); trivial.
% 1.04/1.19 apply (zenon_L379_); trivial.
% 1.04/1.19 apply (zenon_L380_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L278_); trivial.
% 1.04/1.19 apply (zenon_L379_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L201_); trivial.
% 1.04/1.19 apply (zenon_L379_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L256_); trivial.
% 1.04/1.19 apply (zenon_L379_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L384_); trivial.
% 1.04/1.19 apply (zenon_L379_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L385_); trivial.
% 1.04/1.19 apply (zenon_L379_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Ha. zenon_intro zenon_H35d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H236. zenon_intro zenon_H35e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H237. zenon_intro zenon_H235.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_L386_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L231_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_L387_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L389_); trivial.
% 1.04/1.19 apply (zenon_L329_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L390_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L278_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_L249_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L258_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L384_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L385_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H35f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H254. zenon_intro zenon_H360.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H252. zenon_intro zenon_H253.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H359 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L274_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_L391_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_L334_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L273_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hff | zenon_intro zenon_H144 ].
% 1.04/1.19 apply (zenon_L261_); trivial.
% 1.04/1.19 apply (zenon_L335_); trivial.
% 1.04/1.19 apply (zenon_L337_); trivial.
% 1.04/1.19 apply (zenon_L283_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.04/1.19 apply (zenon_L392_); trivial.
% 1.04/1.19 apply (zenon_L337_); trivial.
% 1.04/1.19 apply (zenon_L393_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L292_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L394_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Ha. zenon_intro zenon_H19c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H18d. zenon_intro zenon_H19d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H194. zenon_intro zenon_H18c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H73 | zenon_intro zenon_H98 ].
% 1.04/1.19 apply (zenon_L392_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_Ha. zenon_intro zenon_H9a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H8f. zenon_intro zenon_H9b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8d. zenon_intro zenon_H8e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ].
% 1.04/1.19 apply (zenon_L395_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H154 | zenon_intro zenon_Ha8 ].
% 1.04/1.19 apply (zenon_L143_); trivial.
% 1.04/1.19 apply (zenon_L80_); trivial.
% 1.04/1.19 apply (zenon_L312_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L338_); trivial.
% 1.04/1.19 apply (zenon_L396_); trivial.
% 1.04/1.19 apply (zenon_L400_); trivial.
% 1.04/1.19 apply (zenon_L329_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L29_); trivial.
% 1.04/1.19 apply (zenon_L403_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L274_); trivial.
% 1.04/1.19 apply (zenon_L404_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L357_); trivial.
% 1.04/1.19 apply (zenon_L404_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L106_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L376_); trivial.
% 1.04/1.19 apply (zenon_L408_); trivial.
% 1.04/1.19 apply (zenon_L380_); trivial.
% 1.04/1.19 apply (zenon_L403_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L106_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_L409_); trivial.
% 1.04/1.19 apply (zenon_L380_); trivial.
% 1.04/1.19 apply (zenon_L403_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Ha. zenon_intro zenon_H35d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H236. zenon_intro zenon_H35e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H237. zenon_intro zenon_H235.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_L386_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L231_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_L387_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L389_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L410_); trivial.
% 1.04/1.19 apply (zenon_L323_); trivial.
% 1.04/1.19 apply (zenon_L412_); trivial.
% 1.04/1.19 apply (zenon_L383_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L390_); trivial.
% 1.04/1.19 apply (zenon_L403_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L258_); trivial.
% 1.04/1.19 apply (zenon_L404_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Ha. zenon_intro zenon_H363.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H299. zenon_intro zenon_H364.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H292. zenon_intro zenon_H290.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H25 | zenon_intro zenon_H357 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_Hde | zenon_intro zenon_H358 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H359 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L438_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L428_); trivial.
% 1.04/1.19 apply (zenon_L440_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L417_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L448_); trivial.
% 1.04/1.19 apply (zenon_L452_); trivial.
% 1.04/1.19 apply (zenon_L464_); trivial.
% 1.04/1.19 apply (zenon_L61_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L466_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L417_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L470_); trivial.
% 1.04/1.19 apply (zenon_L452_); trivial.
% 1.04/1.19 apply (zenon_L471_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L29_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L472_); trivial.
% 1.04/1.19 apply (zenon_L26_); trivial.
% 1.04/1.19 apply (zenon_L61_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L474_); trivial.
% 1.04/1.19 apply (zenon_L479_); trivial.
% 1.04/1.19 apply (zenon_L230_); trivial.
% 1.04/1.19 apply (zenon_L437_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L428_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L250_); trivial.
% 1.04/1.19 apply (zenon_L481_); trivial.
% 1.04/1.19 apply (zenon_L483_); trivial.
% 1.04/1.19 apply (zenon_L464_); trivial.
% 1.04/1.19 apply (zenon_L61_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L488_); trivial.
% 1.04/1.19 apply (zenon_L471_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L489_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L428_); trivial.
% 1.04/1.19 apply (zenon_L359_); trivial.
% 1.04/1.19 apply (zenon_L26_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L106_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_L115_); trivial.
% 1.04/1.19 apply (zenon_L508_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L509_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L510_); trivial.
% 1.04/1.19 apply (zenon_L512_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L513_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L517_); trivial.
% 1.04/1.19 apply (zenon_L522_); trivial.
% 1.04/1.19 apply (zenon_L109_); trivial.
% 1.04/1.19 apply (zenon_L101_); trivial.
% 1.04/1.19 apply (zenon_L526_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Ha. zenon_intro zenon_H35d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H236. zenon_intro zenon_H35e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H237. zenon_intro zenon_H235.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L438_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L527_); trivial.
% 1.04/1.19 apply (zenon_L534_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L527_); trivial.
% 1.04/1.19 apply (zenon_L539_); trivial.
% 1.04/1.19 apply (zenon_L540_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_L541_); trivial.
% 1.04/1.19 apply (zenon_L542_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_L541_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L527_); trivial.
% 1.04/1.19 apply (zenon_L543_); trivial.
% 1.04/1.19 apply (zenon_L540_); trivial.
% 1.04/1.19 apply (zenon_L546_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H35f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H254. zenon_intro zenon_H360.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H252. zenon_intro zenon_H253.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H359 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L438_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L547_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L417_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L448_); trivial.
% 1.04/1.19 apply (zenon_L548_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L547_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L417_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L470_); trivial.
% 1.04/1.19 apply (zenon_L548_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L29_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L547_); trivial.
% 1.04/1.19 apply (zenon_L26_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L474_); trivial.
% 1.04/1.19 apply (zenon_L554_); trivial.
% 1.04/1.19 apply (zenon_L230_); trivial.
% 1.04/1.19 apply (zenon_L437_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L571_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L417_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L482_); trivial.
% 1.04/1.19 apply (zenon_L548_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L571_); trivial.
% 1.04/1.19 apply (zenon_L573_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L489_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L428_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L250_); trivial.
% 1.04/1.19 apply (zenon_L574_); trivial.
% 1.04/1.19 apply (zenon_L565_); trivial.
% 1.04/1.19 apply (zenon_L570_); trivial.
% 1.04/1.19 apply (zenon_L26_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L106_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L110_); trivial.
% 1.04/1.19 apply (zenon_L507_); trivial.
% 1.04/1.19 apply (zenon_L408_); trivial.
% 1.04/1.19 apply (zenon_L508_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L509_); trivial.
% 1.04/1.19 apply (zenon_L576_); trivial.
% 1.04/1.19 apply (zenon_L408_); trivial.
% 1.04/1.19 apply (zenon_L577_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L513_); trivial.
% 1.04/1.19 apply (zenon_L576_); trivial.
% 1.04/1.19 apply (zenon_L109_); trivial.
% 1.04/1.19 apply (zenon_L101_); trivial.
% 1.04/1.19 apply (zenon_L526_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Ha. zenon_intro zenon_H35d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H236. zenon_intro zenon_H35e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H237. zenon_intro zenon_H235.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L527_); trivial.
% 1.04/1.19 apply (zenon_L434_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_L437_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L527_); trivial.
% 1.04/1.19 apply (zenon_L582_); trivial.
% 1.04/1.19 apply (zenon_L540_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L527_); trivial.
% 1.04/1.19 apply (zenon_L554_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_L542_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L527_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L550_); trivial.
% 1.04/1.19 apply (zenon_L583_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L351_); trivial.
% 1.04/1.19 apply (zenon_L549_); trivial.
% 1.04/1.19 apply (zenon_L586_); trivial.
% 1.04/1.19 apply (zenon_L216_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L527_); trivial.
% 1.04/1.19 apply (zenon_L587_); trivial.
% 1.04/1.19 apply (zenon_L546_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Ha. zenon_intro zenon_H361.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H26f. zenon_intro zenon_H362.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H26d. zenon_intro zenon_H26e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L274_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L273_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L588_); trivial.
% 1.04/1.19 apply (zenon_L591_); trivial.
% 1.04/1.19 apply (zenon_L592_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L273_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L537_); trivial.
% 1.04/1.19 apply (zenon_L591_); trivial.
% 1.04/1.19 apply (zenon_L593_); trivial.
% 1.04/1.19 apply (zenon_L592_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L600_); trivial.
% 1.04/1.19 apply (zenon_L28_); trivial.
% 1.04/1.19 apply (zenon_L601_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L604_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L612_); trivial.
% 1.04/1.19 apply (zenon_L285_); trivial.
% 1.04/1.19 apply (zenon_L26_); trivial.
% 1.04/1.19 apply (zenon_L601_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L613_); trivial.
% 1.04/1.19 apply (zenon_L100_); trivial.
% 1.04/1.19 apply (zenon_L601_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b | zenon_intro zenon_H1bd ].
% 1.04/1.19 apply (zenon_L594_); trivial.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1ac | zenon_intro zenon_Hc7 ].
% 1.04/1.19 apply (zenon_L104_); trivial.
% 1.04/1.19 exact (zenon_Hc6 zenon_Hc7).
% 1.04/1.19 apply (zenon_L375_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_Ha. zenon_intro zenon_H365.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H2c1. zenon_intro zenon_H366.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H2ba. zenon_intro zenon_H2b9.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H5 | zenon_intro zenon_H356 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H25 | zenon_intro zenon_H357 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H359 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L214_); trivial.
% 1.04/1.19 apply (zenon_L644_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L214_); trivial.
% 1.04/1.19 apply (zenon_L665_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L106_); trivial.
% 1.04/1.19 apply (zenon_L732_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L106_); trivial.
% 1.04/1.19 apply (zenon_L759_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Ha. zenon_intro zenon_H35d.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H236. zenon_intro zenon_H35e.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H237. zenon_intro zenon_H235.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L760_); trivial.
% 1.04/1.19 apply (zenon_L644_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_L760_); trivial.
% 1.04/1.19 apply (zenon_L665_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L231_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L761_); trivial.
% 1.04/1.19 apply (zenon_L238_); trivial.
% 1.04/1.19 apply (zenon_L732_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L257_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L763_); trivial.
% 1.04/1.19 apply (zenon_L238_); trivial.
% 1.04/1.19 apply (zenon_L759_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Ha. zenon_intro zenon_H361.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H26f. zenon_intro zenon_H362.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H26d. zenon_intro zenon_H26e.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L769_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L306_); trivial.
% 1.04/1.19 apply (zenon_L774_); trivial.
% 1.04/1.19 apply (zenon_L785_); trivial.
% 1.04/1.19 apply (zenon_L790_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L4_); trivial.
% 1.04/1.19 apply (zenon_L795_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H82 | zenon_intro zenon_Hca ].
% 1.04/1.19 apply (zenon_L796_); trivial.
% 1.04/1.19 apply (zenon_L662_); trivial.
% 1.04/1.19 apply (zenon_L797_); trivial.
% 1.04/1.19 apply (zenon_L785_); trivial.
% 1.04/1.19 apply (zenon_L790_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L27_); trivial.
% 1.04/1.19 apply (zenon_L767_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L800_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L788_); trivial.
% 1.04/1.19 apply (zenon_L26_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_L802_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L803_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L788_); trivial.
% 1.04/1.19 apply (zenon_L100_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L641_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L765_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_L331_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha. zenon_intro zenon_Hba.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Ha0. zenon_intro zenon_Hbb.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_Ha1. zenon_intro zenon_H9f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L804_); trivial.
% 1.04/1.19 apply (zenon_L675_); trivial.
% 1.04/1.19 apply (zenon_L230_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_L810_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L4_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L765_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L812_); trivial.
% 1.04/1.19 apply (zenon_L352_); trivial.
% 1.04/1.19 apply (zenon_L758_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L356_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L765_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L809_); trivial.
% 1.04/1.19 apply (zenon_L813_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_L802_); trivial.
% 1.04/1.19 apply (zenon_L758_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_L810_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L4_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Hd. zenon_intro zenon_H70.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_He. zenon_intro zenon_Hc.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L765_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L812_); trivial.
% 1.04/1.19 apply (zenon_L100_); trivial.
% 1.04/1.19 apply (zenon_L758_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L769_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_L816_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L768_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L817_); trivial.
% 1.04/1.19 apply (zenon_L774_); trivial.
% 1.04/1.19 apply (zenon_L785_); trivial.
% 1.04/1.19 apply (zenon_L822_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_L816_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L768_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L817_); trivial.
% 1.04/1.19 apply (zenon_L825_); trivial.
% 1.04/1.19 apply (zenon_L827_); trivial.
% 1.04/1.19 apply (zenon_L785_); trivial.
% 1.04/1.19 apply (zenon_L822_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_L816_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_L768_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_He9. zenon_intro zenon_Hfe.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hea. zenon_intro zenon_Heb.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L23_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L306_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.19 apply (zenon_L798_); trivial.
% 1.04/1.19 apply (zenon_L829_); trivial.
% 1.04/1.19 apply (zenon_L627_); trivial.
% 1.04/1.19 apply (zenon_L369_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L23_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Ha. zenon_intro zenon_H69.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H60. zenon_intro zenon_H6a.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H5e. zenon_intro zenon_H5f.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_L712_); trivial.
% 1.04/1.19 apply (zenon_L373_); trivial.
% 1.04/1.19 apply (zenon_L833_); trivial.
% 1.04/1.19 apply (zenon_L834_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L800_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L836_); trivial.
% 1.04/1.19 apply (zenon_L383_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H3 | zenon_intro zenon_H230 ].
% 1.04/1.19 apply (zenon_L816_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_Ha. zenon_intro zenon_H231.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H3e. zenon_intro zenon_H232.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H3c. zenon_intro zenon_H3d.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L803_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H4f | zenon_intro zenon_H67 ].
% 1.04/1.19 apply (zenon_L836_); trivial.
% 1.04/1.19 apply (zenon_L100_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_L837_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L808_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_He2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L809_); trivial.
% 1.04/1.19 apply (zenon_L778_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Ha. zenon_intro zenon_He3.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd0. zenon_intro zenon_He4.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd9. zenon_intro zenon_Hcf.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.19 apply (zenon_L805_); trivial.
% 1.04/1.19 apply (zenon_L746_); trivial.
% 1.04/1.19 apply (zenon_L694_); trivial.
% 1.04/1.19 apply (zenon_L838_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Ha. zenon_intro zenon_H363.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H299. zenon_intro zenon_H364.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H292. zenon_intro zenon_H290.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H45 | zenon_intro zenon_H25e ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfc ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L641_); trivial.
% 1.04/1.19 apply (zenon_L857_); trivial.
% 1.04/1.19 apply (zenon_L230_); trivial.
% 1.04/1.19 apply (zenon_L885_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_Ha. zenon_intro zenon_H25f.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H56. zenon_intro zenon_H260.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H54. zenon_intro zenon_H55.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L27_); trivial.
% 1.04/1.19 apply (zenon_L857_); trivial.
% 1.04/1.19 apply (zenon_L885_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.19 apply (zenon_L474_); trivial.
% 1.04/1.19 apply (zenon_L886_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_L890_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.19 apply (zenon_L551_); trivial.
% 1.04/1.19 apply (zenon_L888_); trivial.
% 1.04/1.19 apply (zenon_L891_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.19 apply (zenon_L861_); trivial.
% 1.04/1.19 apply (zenon_L895_); trivial.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.19 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H17 | zenon_intro zenon_H27 ].
% 1.04/1.20 apply (zenon_L663_); trivial.
% 1.04/1.20 apply (zenon_L901_); trivial.
% 1.04/1.20 apply (zenon_L895_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H1af. zenon_intro zenon_H2b4.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H207 | zenon_intro zenon_H35a ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.20 apply (zenon_L903_); trivial.
% 1.04/1.20 apply (zenon_L905_); trivial.
% 1.04/1.20 apply (zenon_L857_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.20 apply (zenon_L890_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb9 ].
% 1.04/1.20 apply (zenon_L906_); trivial.
% 1.04/1.20 apply (zenon_L907_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Ha. zenon_intro zenon_H1a0.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H17d. zenon_intro zenon_H1a1.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H17e. zenon_intro zenon_H17c.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.20 apply (zenon_L684_); trivial.
% 1.04/1.20 apply (zenon_L457_); trivial.
% 1.04/1.20 apply (zenon_L694_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.20 apply (zenon_L861_); trivial.
% 1.04/1.20 apply (zenon_L910_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1d8. zenon_intro zenon_H1ed.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1d9. zenon_intro zenon_H1d7.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H16f | zenon_intro zenon_H19b ].
% 1.04/1.20 apply (zenon_L884_); trivial.
% 1.04/1.20 apply (zenon_L909_); trivial.
% 1.04/1.20 apply (zenon_L910_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Ha. zenon_intro zenon_H35b.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H229. zenon_intro zenon_H35c.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H227. zenon_intro zenon_H228.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H4d | zenon_intro zenon_H1a9 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.20 apply (zenon_L903_); trivial.
% 1.04/1.20 apply (zenon_L553_); trivial.
% 1.04/1.20 apply (zenon_L886_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1aa.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha9. zenon_intro zenon_H1ab.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Hab. zenon_intro zenon_H160.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H84 | zenon_intro zenon_H1a2 ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.20 apply (zenon_L861_); trivial.
% 1.04/1.20 apply (zenon_L891_); trivial.
% 1.04/1.20 apply (zenon_L912_); trivial.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a5.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H128. zenon_intro zenon_H1a6.
% 1.04/1.20 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H129. zenon_intro zenon_H12a.
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1eb ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H11e | zenon_intro zenon_H19f ].
% 1.04/1.20 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H11c | zenon_intro zenon_H169 ].
% 1.04/1.20 apply (zenon_L908_); trivial.
% 1.04/1.20 apply (zenon_L860_); trivial.
% 1.04/1.20 apply (zenon_L913_); trivial.
% 1.04/1.20 apply (zenon_L914_); trivial.
% 1.04/1.20 Qed.
% 1.04/1.20 % SZS output end Proof
% 1.04/1.20 (* END-PROOF *)
% 1.04/1.20 nodes searched: 38293
% 1.04/1.20 max branch formulas: 477
% 1.04/1.20 proof nodes created: 5456
% 1.04/1.20 formulas created: 39080
% 1.04/1.20
%------------------------------------------------------------------------------